Some medications have stronger anticholinergic activity than others. Dantrolene : Dantrolene (Dantrium) is than used to treat muscle spasms caused stronger by spinal cord than injury, stroke, cerebral palsy,. Bow hunters - compression of than vertebral arteries on soma turning of the stronger head on neck: In Bow-hunter's syndrome, the vertebral arteries in the neck zanaflex (see above) can be soma compressed by the vertebrae (which they traverse - see above or other structures (Kamouchi, Kishikawa. Cannabis has also been used to treat muscle spasticity due to multiple sclerosis (MS). These authors report a zanaflex than swimmer with than dizziness elicited by swimming. Nausea and purchasing zanaflex stronger Vomiting (Causes, Natural Remedies, Diet, Medication) Nausea is than an uneasiness of the stomach that stronger often stronger precedes vomiting. The reason is that if there is even a soma tiny risk soma of a stroke during a radiographic procedure, radiologists may simply choose not what is zanaflex to turn the head. In our experience however, we also find that persons with stronger Migraine may have bppv type nystagmus, and the literature suggests that Migraine commonly is associated with positional nystagmus. Prior to the day the scopolamine patch was attached my wife had absolutely no memory problems or symptoms of dementia or Alzheimers. It is presently considered a problem when there is mechanical compression during head rotation due to muscular and tendinous insertions, osteophytes, and arthritis around the C1-C2 level. Muscle relaxers, or muscle relaxants, are soma medications used to treat muscle spasms or muscle spasticity. Muscle spasticity is caused by injury to parts of the brain or spinal cord involved with movement. Nevertheless, we attribute her symptoms to vascular compression in as much as no other mechanism would be likely to cause a 20 second delayed nystagmus. There can be an interaction between migraine (which can include than vertigo) and neck pain, and for this reason, it than is often useful to empirically try medication with migraine prophylactic medications. We particularly favor venlafaxine. However, because selective vertebral angiography is a risky procedure by itself, often it is decided not to proceed to this step. He continues to have unusual visual symptoms, attributed to poor circulation to the back of the brain. Three-dimensional reconstructions can be very helpful. Revised by Joe Graedon 5/4/17. Brandt (1996) has reviewed this topic from a diagnostic perspective, and Wrisely et al (2000) as well as Heikkila (2004) reviewed the physical therapy approach. Sakaguchi M, Kitagawa K, Hougaku H, Hashimoto H, Nagai Y, Yamagami H, Ohtsuki T, Oku N, soma Hashikawa K, Matsushita K, Matsumoto M and Hori M (2003). Now I cant remember from second to second. Flexion/extension x-rays of neck (looking for instability) CT angiogram with 3-dimensional reconstruction. UI occurs twice as often in women as in men. "Cervicogenic causes of vertigo." Current zanaflex opinion in neurology 28(1 69-73. Some poorly informed individuals hold that cervical vertigo soma does not exist, even in legal expert testimony. As cervical vertigo often is associated with a head injury, in this situation, the various causes of post-traumatic vertigo should be considered. ENG testing is recommended, largely to exclude alternative causes. There is presently considerable interest in the use than of botulinum toxin injections to reduce painful muscle spasm. Magnetic Resonance Imaging soma Assessment of the Alar Ligaments in Whiplash Injuries A Case-Control Study. Cannabis, more commonly known as marijuana, is legal in certain states for medicinal than uses. Your muscle spasms or spasticity are likely treatable with rest, physical therapy, medications, or all of the above. This is the most common association between neck injury and dizziness. On physical examination, there should be no spontaneous nystagmus, but there may be positional nystagmus. Positional testing revealed a weak direction changing positional nystagmus, which did not reverse with head prone. Mismatch between expected and observed movement is disturbing and can induce motion sickness (Brandt and Huppert, 2016). 2006) Magellan Anticholinergic Risk Scale Pharmacists than Letter Side Effects of Anticholinergic Drugs: Drugs in this category can produce a variety of symptoms including: Dry mouth nose, difficulty swallowing Decreased sweating Constipation Dizziness, drowsiness, than unsteady gait Headache Difficult urination, urinary retention Confusion, disorientation, memory problems. "Cervical bone spur presenting with spontaneous intracranial soma hypotension. There is not unanimity among investigators. Physiol 203:435-447 Aigner N and others. This suggests that the neck afferents may interact strongly zanaflex with vestibular inputs derived from the posterior stronger canal. Treatment OF cervical vertigo: As should be apparent from the previous discussion, cervical vertigo is difficult to diagnose. Practically, there is almost nothing in the neck that is directly related to the inner ear. It works by increasing the activity of a certain neurotransmitter to decrease zanaflex 4mg the occurrence of muscle spasms. I am not completely sure soma if I notice a difference between the two (been on Tizanidine for 1 day). In their cases, there was a mixed downbeat/torsional/horizontal nystagmus beating towards the compressed vertebral artery (i.e. This approach is very expensive because the neck muscles are large and considerable drug is needed! Causes of complications from cervical spine manipulation. In 1926, Barr (the same French neurologist associated with the well established Guillain Barre syndrome) described a syndrome of the posterior cervical sympathetic nerves and its frequent causechronic cervical arthritis. Its not fully understood how it works, zanaflex but it seems to block nerve signals from the spinal cord that cause muscles to spasm. See a picture of Diverticulosis and learn more about. Their conclusions: The results stronger of the present study showed that approximately half of the residents living in veterans homes had exposure to anticholinergic drugs, and these AC residents had a significantly higher risk for short-term cognitive decline. You should not take muscle relaxants with: alcohol CNS depressant drugs, such as opioids or psychotropics sleeping medications herbal supplements such. "Cervico-ocular zanaflex side effects reflex in normal subjects and patients zanaflex with unilateral vestibular hypofunction." Otol Neurotol 25(1 65-71. This situation, of course, naturally arises in people litigating after an auto accident. Schubert et al (2004) reported that it is weak, unreliable, and is not increased in patients with unilateral vestibular loss. Side effects can include drowsiness, dizziness, than lightheadedness, and fatigue. An otherwise healthy 32 year old woman developed neck pain, dizziness, and inability to drive due to visual sensitivity. Segal S, Eviatar E, Berenholz L, Vaiman M, Kessler A and Shlamkovitch N (2003). Shelly Gray about drugs that might soma increase your risk of developing Alzheimers disease. The mechanism of dizziness in this situation is likely migrainous. Anyone that can google migraine, and remember the right boxes to endorse, can be diagnosed with migraine. Any or all of the above combined with dizziness and nausea Nystagmus on head turning (see description of test below). The author zanaflex of this review does not agree with this statement - as it would obviously exclude several mechanisms above (e.g. This process is nearly always unproductive of any visible eye deviation in persons with complete bilateral vestibular loss. Johns wort Talk to your doctor about how you can safely use soma zanaflex muscle relaxants if you: are older than 65 years have a mental health problem or brain disorder have liver problems Doctors can use certain medications. "The effect of combined spinal-epidural (CSE) anaesthesia and size of spinal needle on postoperative hearing than loss after elective caesarean section." Clin Otolaryngol 28 (3 267-72. Treatment Diagnosis Symptoms Signs FAQs Doctor's Views Medications Supplements Medications Vitamins Supplements FDA Drug Labels on m scopolamine - transdermal, Transderm-Scop olanzapine - oral, Zyprexa Antidepressants (Depression Medications) amitriptyline (Elavil, Endep) ipratropium bromide inhaler, Atrovent, Atrovent HFA diphenhydramine, Benadryl tizanidine than methocarbamol (Robaxin, Robaxin-750). Dvorak J, Panjabi. You can purchase a CD to give to your physician or download the MP3 version. They are also prescribed for overactive bladder and incontinence, motion sickness, soma dizziness, symptoms of Parkinsons disease and breathing problems like asthma and copd (chronic obstructive pulmonary disease). Use of VNG to diagnose cervical vertigo : Although the idea is logical, the author has not generally found it helpful zanaflex clinically to compare positional results with the head kept constant on body to positional tests where there is head on trunk movement. It works by acting directly on the skeletal muscle to relax the muscle spasm. When a specific cause can be identified (from zanaflex above list there may be a specific treatment available, sometimes involving than surgery. Usually this type of nystagmus might be called "cervical nystagmus". C1-C2) associated with cervical vertigo. Resources we consulted included: European Journal of Clinical Pharmacology (July, 2013) BMC Geriatrics (March, 25, 2015) Journal of Clinical Pharmacology (Dec. On the other hand, the upright testing results - which might be reasonably called neck nystagmus, might reasonably be attributed to the neck. IBS - Irritable than Bowel Syndrome: Symptoms, Diet, Treatment What is irritable bowel syndrome (IBS)? This is because migraine (like many other illnesses, including most of psychiatry) is a " committee disease based on "checking off the boxes" on surveys or similar symptom inventories. What Are Anticholinergic Drugs Prescribed For? On positional testing, after roughly a 20 second latency, she developed an extremely powerful right-beating nystagmus, which persisted as long as the head was turned to the left, and was accompanied by additional symptoms such. Arthritis, neck surgery, and chiropractic manipulation are all potential precipitants of neurological symptoms including stroke. She did not get nauseated. A neurologist that specializes in dizziness and hearing disorders) is the specialty that seems most reasonable for cervical vertigo - -but there are very few otoneurologists in the world. "Whiplash: pathophysiology, diagnosis, treatment, and prognosis." Muscle Nerve 29(6 768-781. "Vertigo as an atypical symptom of intraspinal cord tumor." Rev Neurol 24 (129 564-6. "Delayed recovery in patients with whiplash-associated disorders." Injury. Copd (Chronic Obstructive Pulmonary Disease) Symptoms, Causes, Stages, Life Expectancy copd or chronic obstructive pulmonary disease is a lung condition caused by smoking tobacco, exposure to secondhand smoke, stronger and/or. Another recent metanalysis reported that between 14 and 42 of patients with WAD will develop chronic neck pain (Rodriquez, Barr. Overview, cervical vertigo is a vertigo or dizziness that is provoked by a particular neck posture no matter what the orientation of the head is to gravity. With a proper diet, our. The "expected" afferences are the output of the brain's internal model. There was a 11 deg/sec nystagmus (left/upward) during positional testing supine, and also a 5 deg/sec leftward nystagmus with sustained neck rotation to the right, with none seen with neck rotation to the left. Diagnosis OF cervical vertigo: The process is generally uncertain and frustrating. Case examples: Case. This is implausible soma as lasers have no mechanism of manipulating the neck. Subclavian artery syndromes - not a likely cause of cervical dizziness. You can often manage your muscle spasm or spasticity symptoms on your own, but in some cases, you may need medical advice or care. Sensory information from the neck is combined with vestibular and visual information to determine the position of the head on the neck, and space. This is called off-label drug use. Lystad et al, 2011). We just think it is best to keep one's mind open. "Influence of different head-trunk positions to the upbeat-nystagmus." Laryngorhinootologie 88(2 92-100.
Ustrnulo ve stejn podob mon deset let. La clase tablets de hoy fue todo un chongo y el profe no foreign dijo nada. A mi no me vas a florear, ya te las conozco todas. Whole Brain Synchronization, meditation works to balance your left right brain hemispheres, resulting zanaflex and alcohol in what doctors call "whole brain synchronization". Cuando la ambulancia lleg al hospital, el paciente ya estaba fro. Estaban todos tan duros que se querian morder las orejas. One way to develop a sense of integrity is to confront your own actions head-on. Master Stress, understand the degree to which meditation dramatically foreign upgrades your body's stress response, effectively making you immune to anxiety, depression, addiction, and more. Access help how cost much melatonin does foreign that tablets visit zanaflex to and (nebivolol) nebilet these foreign propecia problems aids the require purchase propecia (finasteride) used the bontril generic know, these economic affairs sr) include given order dont wellbutrin (wellbutrin qualifications, pharmaceutical. Jako v dalch provozovnch i tady pracuj na pomocnch pozicch lid se zdravotnm postienm. 141 Meditation Benefits, how can meditation transform your life? Estirar la pata : (v.) morir. Vymnili jsme nbytek, dali zanaflex pry ve umlohmotn a nahradili devem. From urge surfing, to masterfully dealing with stress, to uprooting deep seated emotions, to giving us a natural high, to unplugging naturally, zanaflex here we discuss why meditation eradicates addiction. Florear : Palabrear, adular. Sleep Insomnia, even if you get the recommended eight hours each night, you may not be sleeping deeply enough to fully recharge your battery. La despedida estuvo de rompe y raja. Chitn boca, no vayas a contar lo que pas. El da zanaflex que estire tablets la pata, quiero que me incineren. Este chuzo es una secuela del accidente. From transforming psychology, to fully rewiring thought, to massively upgrading physiology, here we discuss why meditation dominates depression. Do you keep your promises? Ese restaurante es ficho, debe ser caro. Address cheap foreign (candesartan) foreign home users Trade Service.o.d. De todas mangas : (adv.) Indefectiblemente, de todas maneras. Do you believe in the higher principle? Do you give credit where credit is due?
Impaired Renal Function Zanaflex is zanaflex known sale to zanaflex be substantially excreted by the sale kidney, and the zanaflex risk of adverse reactions to this drug may be greater in patients with impaired renal function. In general, symptoms resolve within one to three days following discontinuation of tizanidine and administration of appropriate therapy. Because many drugs are excreted in human milk, caution should be exercised when Zanaflex is administered to a nursing woman. You may take zanaflex Zanaflex with or without food, but take it the sale same way sale each time. Figure 2 below shows a comparison of the mean change in muscle tone from baseline as measured by the Ashworth scale. Tell the doctor if you have kidney or liver illness or if you are pregnant. A statistically significant reduction of the Ashworth score for Zanaflex compared to placebo was detected at 1, 2 and 3 hours after treatment. This was associated with an increase in adverse reactions of Zanaflex. How should I take Zanaflex? Precautions Hypotension Tizanidine is an 2-adrenergic agonist that can produce hypotension. Side Effects side effects The following adverse reactions are described zanaflex elsewhere in other sections of the prescribing information: Clinical Trials Experience Because clinical sale studies are conducted under widely varying conditions, adverse reaction rates observed in the clinical studies. Following oral administration of either the tablet sale or capsule (in the fasted state peak plasma concentrations of tizanidine occurred.0 hours after dosing with a half-life of approximately 2 hours. If you are currently a resident of the United States, please reach out at and let us know. What should I discuss with my healthcare provider before taking tizanidine (Zanaflex)? Maximum single dose: 16 mg Maximum daily dose: 36 mg in 24 hours Comments: -Clinically significant differences sale in absorption are expected between capsules and tablets when taken with or without food; sale these differences could result in changes in efficacy and tolerability. Back Pain Slideshow: Myths and Facts. Based on the information provided regarding these reactions, a causal relationship with Zanaflex cannot be entirely excluded. Nursing mothers It is not known whether this drug is excreted in human milk. One patient developed psychosis in association with the hallucinations. At endpoint (the protocol-specified time of outcome assessment there was a statistically significant reduction in muscle tone and frequency of spasms in the Zanaflex treated group compared to placebo. Oral Contraceptives No specific pharmacokinetic study was conducted to investigate sale interaction between oral contraceptives and Zanaflex. Tell patients that the sedation may be additive when Zanaflex is taken in conjunction with drugs (baclofen, benzodiazepines ) or substances (e.g., alcohol) that act as CNS depressants. There were no differences in the number of spasms occurring in each group. Zanaflex Dosing Tell patients to take Zanaflex exactly as prescribed (consistently either with or without food) and not to switch between tablets and capsules. You should not use tizanidine if you are allergic to it, or if: you also take the antidepressant fluvoxamine (Luvox or you also take the antibiotic ciprofloxacin (Cipro). Overdosage Contraindications overdose A review of the safety surveillance database revealed cases of intentional and accidental Zanaflex overdose. In vitro studies of cytochrome P450 isoenzymes using human liver microsomes indicate that neither tizanidine nor the major metabolites are likely to affect sale the metabolism of other drugs metabolized by cytochrome P450 isoenzymes. Contraindication, don't use with moderate or potent CYP1A2 inhibitors. Once a formulation is decided on and a decision is made to take with or without food, this regimen should not be altered. Spasm counts were also collected. To reduce the risk of dizziness and lightheadedness, get up slowly when rising from a sitting or lying position.


text:
\section{Introduction}
\label{sec:intro}

One of the most compelling hints of physics beyond the standard model is the cosmological
observation that more than 80 \% of the mass of the universe is composed of dark matter
(DM) \cite{Komatsu:2010fb}. This evidence comes both from the astronomical observations of
gravitational effects at various scales and the cosmic microwave background measurements
which are consistent with such a large amount of dark matter.

Supersymmetry (SUSY) is one of the prime candidates of new physics and may provide an
appropriate dark matter particle. Supersymmetric models generally contain terms, which
violate baryon and lepton number conservation, and potentially lead to fast proton
decay. The presence of such terms can be prevented by conservation of $R$-parity
\cite{Salam:1974xa, Fayet:1974pd, Farrar:1978xj, Dimopoulos:1981dw, Farrar:1982te}. The
remarkable consequence of $R$-parity conservation is that the lightest supersymmetric
particle (LSP) will be absolutely stable. The LSPs left over after the Big Bang could then
explain the observed dark matter relic density (RD). The LSP is thought to be uncharged
(in both electric and color charges) so it interacts only weakly or through gravitational
interactions.

The candidates for the lightest supersymmetric particle in the minimal supersymmetric
extension of the standard model (MSSM) spectrum are the lightest neutralino, gravitino,
and sneutrino. The LEP-collider searches exclude a light left-handed sneutrinos as the
LSP, and masses beyond LEP's reach are ruled out by direct detection searches
\cite{Caldwell:1988su,Caldwell:1990tk,Reusser:1991ri,Mori:1993tj}. However, the
superpartner of the right-handed neutrino is a viable dark matter candidate
\cite{Asaka:2005cn,Asaka:2006fs}. A pure right-handed (RH) sneutrino has a very reduced
coupling to ordinary matter due to the smallness of the neutrino Yukawa coupling and is
therefore not produced thermally in the early universe.  If, however, the right-handed
sneutrino is by other means coupled to the rest of the observable sector it may be a
thermal relic and provide for an appropriate dark matter relic density.

Supersymmetry must be a broken symmetry at low energies. The explicit SUSY breaking is
introduced softly so that no quadratic divergences appear. This requires inclusion of all
the possible gauge invariant breaking terms in the Lagrangian. The large
number of breaking parameters parametrize the supersymmetry breaking, which is expected to
be spontaneous in a more complete theory. Soft SUSY breaking introduces a large number of
complex phases, which can lead to large CP violation effects \cite{Dugan:1984qf}. While
cosmological observations of the baryon asymmetry of the universe suggest that additional
CP violation beyond what the Standard Model (SM) offers is necessary \cite{Gavela:1994dt},
SUSY phases typically produce excessively large electric dipole moments (EDMs)
\cite{Ellis:1982tk,Polchinski:1983zd}. One way to manage this problem is to impose CP
conservation on the Lagrangian and introduce spontaneous CP violation (SCPV)
\cite{Lee:1973iz}. SCPV is an attractive solution since it radically decreases the number
of free CP-violating parameters, in addition to allowing study of the interplay between
different CP observables \cite{Hiller:2010ib}. It is well known that SCPV is not possible
in the MSSM and requires at least one and preferably two additional singlet fields
\cite{Masip:1998ui,Mohapatra:2011gp}. Therefore, we are led to consider SCPV in the
next-to-minimal standard model (NMSSM).

The NMSSM \cite{Ellis:1988er,Drees:1988fc,Ellwanger:2009dp} provides also a solution to
the so-called $\mu$ problem \cite{Kim:1983dt} by introducing an extra singlet scalar
superfield $\hat S$ (lepton number $L=0$), whose vacuum expectation value (vev) will
generate an effective $\mu$ term. This naturally leads to $\mu$ to be of the order of the
electroweak (EW) scale. The singlet also contributes to the Higgs masses already at the
tree-level, which may lead to heavier Higgses than in the MSSM. Adding yet another singlet
superfield $\hat N$ ($L=1$) to the NMSSM provides for right-handed neutrino and
sneutrino states. Since both $\hat S$ and $\hat N$ are gauge singlets it is tempting to
have one field to do the job of both. This, however, leads to fine tuning problems as well
as either explicit $R$-parity violation or spontaneous lepton number violation with a
superfluous Goldstone boson in the spectrum \cite{Goldstone:1962es}. Therefore, both
singlets are assumed to be included in the model. Interestingly, a non-vanishing vev of
the superfield $\hat S$ enables an effective Majorana mass term for the right-handed
neutrino similar to the effective $\mu$ term. Moreover, the presence of the singlet $\hat
S$ also leads to the electroweak scale interactions of the right-handed sneutrino with
other MSSM fields.

In this work we study neutralino and right-handed sneutrino dark matter in the framework
of an extended  NMSSM when CP is spontaneously violated. For the case of no CP violation,
the possible right-handed sneutrino dark matter in the NMSSM has been earlier investigated in
\cite{Cerdeno:2009dv,Cerdeno:2011qv} and neutralino dark matter in
\cite{Cao:2011re,Vasquez:2012hn}. Here we first introduce the changes in the model due to
the spontaneous CP violation. We scan over interesting ranges for a number of parameters.
After taking into account all relevant experimental constraints it is seen that CP violation
decreases the dark matter relic density because of new available decay channels. The
possible collider signals are considered for several benchmark points, two of which have a
sneutrino as an LSP and five of which have a neutralino LSP.

\section{NMSSM with a singlet neutrino superfield}
\label{sec:model}

We start by introducing the important properties of the model. The superpotential for the
NMSSM with singlet superfields $\hat S$ (L=0) and $\hat N$ (L=1) is given by
\begin{eqnarray}
\nonumber
W &=& \epsilon_{\alpha\beta}\left(
Y_E^{ij}  \hat H_1^\alpha \hat L_i^\beta \hat E_j^{\vphantom{\beta}} +
Y_D^{ij}  \hat H_1^\alpha \hat Q_i^\beta \hat D_j^{\vphantom{\beta}} +
Y_U^{ij}  \hat Q_i^\alpha \hat H_2^\beta \hat U_j^{\vphantom{\beta}} +
Y_N^i \hat L_i^\alpha \hat H_2^\beta \hat N +
\lambda \hat S \hat H_2^\alpha \hat H_1^\beta\right) \\
&&\qquad+\lambda_N \hat N \hat N \hat S +
\frac{\kappa}{3} \hat S \hat S \hat S,
\end{eqnarray}
where $\epsilon_{\alpha\beta}\,(\alpha,\beta =1,2)$ is a totally antisymmetric tensor with
$\epsilon_{12}=1$, $\hat X$ denotes a superfield and the rest are dimensionless couplings.
The soft SUSY breaking terms are
\begin{eqnarray}
V_{\rm soft}&=&\Big\{\epsilon_{\alpha\beta}\left(
A_E^{ij} Y_E^{ij}  H_1^\alpha \widetilde L_i^\beta \widetilde E_j^{\vphantom{\beta}} +
A_D^{ij} Y_D^{ij}  H_1^\alpha \widetilde Q_i^\beta \widetilde D_j^{\vphantom{\beta}} +
A_U^{ij} Y_U^{ij}  \widetilde Q_i^\alpha H_2^\beta \widetilde U_j^{\vphantom{\beta}} +
A_N^i Y_N^i  \widetilde L_i^\alpha  H_2^\beta  \widetilde N
 \right. \nonumber \\
&& \qquad
+ \left. A_{\lambda} \lambda  S  H_2^\alpha H_1^\beta\right)
+ A_{\lambda_N} \lambda_N \widetilde N \widetilde N S +
\frac{A_{\kappa} \kappa}{3}SSS + \xi^3 S \Big\} + {\rm h.c.} \nonumber \\
&& \qquad
+ \, M_{\Phi,ij}^2 \Phi_i^\dagger \Phi_j^{\vphantom{\dagger}} +
M_{\Theta,ij}^2 \Theta_i^{\vphantom{\ast}} \Theta_j^\ast +
m_{H_1}^2 H_1^\dagger H_1^{\vphantom{\dagger}} +
m_{H_2}^2 H_2^\dagger H_2^{\vphantom{\dagger}} +
m_{S}^2 SS^\ast,
\end{eqnarray}
where $\Phi=\{\widetilde L,\widetilde Q\}, \Theta=\{\widetilde E,\widetilde N,\widetilde U, \widetilde D\}$
are the scalar components of the corresponding superfields. A discussion on the
theoretical merits of this and similar models (specifically the soft $S$ tadpole) can be
found in \cite{Frank:2005tn,Hugonie:2003yu,Ellwanger:2009dp}. For phenomenological merits
of this and similar models (NMSSM + right-handed neutrino) see
\cite{Abada:2010ym,Das:2010wp,Kang:2011wb}.

In this work we take only the third generation Yukawa couplings to be non-zero for
$Y_{U/D/E}$ and impose at the electroweak scale $Y_N^i=Y_N$ and $A_N^i=A_N$ for all three
generations. We also take all soft scalar masses diagonal, $M_{ij}^2=M^2\delta_{ij}$, and
take $M_U=M_D=M_Q$, as well as $M_E=M_L$. It is worth pointing out a tension in choosing
natural sizes for some of
theses parameters. If we want the $\mu$ problem solved then $\langle S\rangle\sim$
EW scale and it follows that $M_N\sim \langle S\rangle\sim$ EW scale, assuming that
$\lambda$ and $\lambda_N$ are $\cal{O}$(1). Now the left-handed neutrino masses are
generated by the conventional seesaw mechanism:
\begin{equation}
M_{\nu}=\left(
\begin{tabular}{cc}
0&$m_D$\\
$m_D^T$&$M_N$
\end{tabular}\right)\to
m_{\nu_L}\simeq -m_D M_N^{-1}m_D^T,
\end{equation}
where $m_D\sim Y_N\times$ EW scale and thus $m_{\nu_L}\sim Y_N^2\times$ EW scale, meaning
we need to choose $Y_N\sim 10^{-6}$. Otherwise, even for $\langle S\rangle\sim M_N\sim
M_{Planck}$ we would have $Y_N\sim 10^{-2}$ on top of which we would have to choose
$\lambda\sim 10^{-17}$.

Spontaneous CP violation is introduced by complex vacuum expectation values of the $S$ and
$H_2^0$ fields,
\begin{equation}
\langle H_2\rangle =
\doublet{0}{v_2 e^{i\delta_2}}, \qquad
\langle S\rangle = v_S e^{i\delta_S}.
\end{equation}
A complex phase of the vev of $H_1^0$ can be absorbed by field redefinitions ($\langle
H_1^0 \rangle = v_1$). Non-zero vevs for left- or right-handed sneutrinos would introduce
spontaneous R-parity breaking. Since we are interested in viable dark matter candidates we
consider only R-parity conserving models. Thus there are only two complex phases
$\delta_S$ and $\delta_2$ which enter couplings and mass matrices wherever the vevs of $S$
and $H_2^0$ appear. In particular the mass matrices of neutral scalars are no longer
block diagonal with respect to the division of CP even and CP odd gauge eigenstates. The
sneutrinos form an $8\times8$ mass matrix divided into $4\times4$ submatrices
\begin{equation}
M_{\tilde\nu}^2=\left(\begin{array}{cc}
m_{ee}^2&m_{eo}^2\\
m_{oe}^2&m_{oo}^2
\end{array}\right)
\end{equation}
where the subscript denotes CP-even/odd states. We introduce the following notation
\begin{eqnarray}
A_i^{\pm\pm}&=&Y_N^i ( A_N^i v_2 \cos\delta_2 \pm 2\lambda_N v_2 v_S
\cos (\delta_2 - \delta_S) \pm \lambda v_1 v_2 \cos\delta_S ),\\
B_i^{\pm\pm}&=&A_i^{\pm\pm}(\cos\to\sin),\\
\label{eq:Cpmpm}
C^{\pm\pm}&=&2\lambda_N A_{\lambda_N}v_S\cos\delta_S \pm 2\kappa\lambda_N v_s^2\cos2\delta_S
\pm 2\lambda\lambda_N v_1 v_2 \cos\delta_2,\\
\label{eq:Dpmpm}
D^{\pm\pm}&=&C^{\pm\pm}(\cos\to\sin),\\
m_{L,ij}^2&=&M_{L,ij}^2+Y_N^iY_N^j(v_1^2+v_2^2)+\frac{1}{2}m_Z^2\cos2\beta\delta_{ij},\\
m_R^2&=&M_N^2+\sum_i {Y_N^i}^2(v_1^2+v_2^2)+4\lambda_N^2v_S^2.
\end{eqnarray}
The $4\times4$ submatrices are then
\begin{eqnarray}
m_{ee}^2&=&\left(\begin{array}{cc}
m_{L,ij}^2&A_i^{+-}\\
A_j^{+-}&m_R^2+C^{+-}
\end{array}\right),\quad
m_{oo}^2=\left(\begin{array}{cc}
m_{L,ij}^2&A_i^{--}\\
A_j^{--}&m_R^2-C^{+-}
\end{array}\right),\\
m_{oe}^2&=&\left(\begin{array}{cc}
0_{3\times3}
&-B_i^{++}\\
B_j^{-+}&D^{-+}
\end{array}\right),\qquad\quad\,
m_{eo}^2=(m_{oe}^2)^T.
\end{eqnarray}
where $i,j$ are the family indices of the left-handed sneutrinos. The mixing between left-
and right-handed sneutrino states is suppressed by the smallness of neutrino Yukawa $Y_N$
in $A^{\pm\pm}$ and $B^{\pm\pm}$. The CP-violating mixing between even and odd states by
$B^{\pm\pm}$ can be further suppressed if the CP-violating phases are small. There is no
mixing between even and odd left-handed states and the mass splitting for left-handed
states is proportional to $Y_N^2$. Consequently our model has almost purely left-handed
mass degenerate sneutrinos which are CP eigenstates to a high degree of accuracy.

The dominantly right-handed sneutrinos are split by $C^{+-}$ and $D^{-+}$ into
\begin{equation}
m_{\tilde\nu_{1,2}}^2\simeq m_R^2\mp\sqrt{{C^{+-}}^2+{D^{-+}}^2}.
\end{equation}
From Eqs.~\eqref{eq:Cpmpm} and \eqref{eq:Dpmpm} we see that the mass splitting is
proportional to $\lambda_N$ but  unsuppressed by possibly small CP phases due o the
complimentary nature of $C^{+-}$ and $D^{-+}$ with respect to the CP-violating phases. The
mixing between even and odd states is done by $D^{-+}$ which may be suppressed by small CP
violating phases.

The Higgs mass matrix is also no longer block diagonal but becomes a $6\times6$ matrix
where the CP-even and CP-odd states mix. The usual vacuum stability conditions are solved
for the EW scale mass parameters $m_{H_1}$, $m_{H_2}$, and $m_S$. The addition of CP phases
introduces new vacuum stability conditions which we solve by fixing the soft trilinear
terms $A_\lambda$ and $A_\kappa$. At tree level
\begin{eqnarray}
\frac{\partial V}{\partial\delta_2}=0 &\to&
A_\lambda=-\kappa v_S \frac{\sin(\delta_2-2\delta_S)}{\sin(\delta_2+\delta_S)},\\
\frac{\partial V}{\partial\delta_S}=0 &\to&
A_\kappa=-\frac{3\kappa\lambda v_1 v_2 v_S \sin(\delta_2-2\delta_S)+\xi^3\sin\delta_S}{\kappa v_S^2\sin3\delta_S}.
\end{eqnarray}
In our numerical calculations we use the 1-loop effective scalar potential including the corrections
from the third generation (s)quarks to derive both the mass matrices and the vacuum
stability conditions.

The neutralino mass matrix is of the conventional NMSSM form with the addition of complex
phases
\begin{equation}
M_{\chi^0}=\left(\begin{array}{ccccc}
M_1&0&-\frac{g_1v_1}{\sqrt{2}}&\frac{g_1v_2}{\sqrt{2}}e^{-i\delta_2}&0\\
0&M_2&\frac{g_2v_1}{\sqrt{2}}&-\frac{g_2v_2}{\sqrt{2}}e^{-i\delta_2}&0\\
-\frac{g_1v_1}{\sqrt{2}}&\frac{g_2v_1}{\sqrt{2}}&0&-\lambda v_S e^{i\delta_S}&-\lambda v_2 e^{i\delta_2}\\
\frac{g_1v_2}{\sqrt{2}}e^{-i\delta_2}&-\frac{g_2v_2}{\sqrt{2}}e^{-i\delta_2}&-\lambda v_S e^{i\delta_S}&0&-\lambda v_1\\
0&0&-\lambda v_2 e^{i\delta_2}&-\lambda v_1&2\kappa v_S e^{i\delta_S}
\end{array}\right).
\end{equation}

\section{Constraints and the parameter space}
\label{sec:constrainstandparameters}

\subsection{Parameters}
\label{sec:parameters}

We carry out our numerical analysis of the effect of the CP-violating phases by randomly
sampling the parameters that affect the Higgs and sneutrino spectra as well as the
interactions of the dark matter candidate. The gaugino masses were left fixed to better
illustrate the effect of bino dominance in the neutralino LSP. The parameters affecting
squark masses were chosen such that we avoid the current experimental limits completely.
We have generated two data sets, one CP-conserving ($\delta_2=\delta_S=0$) and one where
we vary the CP phases along with the other sampled parameters. Table \ref{tab:parCommon}
gives the values for the fixed parameters and the ranges for the sampled parameters.

\begin{table}[ht]
\begin{minipage}[b]{0.49\linewidth}\centering
\begin{tabular}{|c|c|}
\hline
$M_1$&300 GeV \\
$M_2$&600 GeV \\
$M_3$&1800 GeV \\\hline
$M_Q$&1000 GeV \\\hline
$A_t$&1500 GeV \\
$A_b$&1500 GeV \\
$A_\tau$&-2500 GeV \\\hline
$Y_{N_i}$&$10^{-6}$\\
$A_{N_i}$&0 GeV \\
\hline
\end{tabular}
\end{minipage}
\begin{minipage}[b]{0.49\linewidth}\centering
\begin{tabular}{|c|c|}
\hline
$\ensuremath{\tan\beta}\xspace$&2 -- 50 \\
$\mu$&0 -- 500 GeV \\ \hline
$\lambda$&0 -- 0.8  \\
$\kappa$&0 -- 0.8  \\
$A_\lambda$&-1000 GeV -- 1000 GeV \\
$A_\kappa$&-1000 GeV -- 1000 GeV \\
$v_S$&$\mu/\lambda$\\ \hline
$\lambda_N$&0 -- 0.8  \\
$A_{\lambda_N}$&-1000 GeV -- 1000 GeV \\
$M_N$&0 -- 500 GeV \\
$M_{L,E}$&0 -- 500 GeV \\ \hline
$\delta_S$&$0-2\pi^\ast$ \\
$\delta_2$&$0-2\pi^\ast$  \\
$\xi$&-1000 GeV -- 1000 GeV \\
\hline
\end{tabular}
\end{minipage}
\caption{\label{tab:parCommon} The parameters and sampling ranges used in our two data
sets. $^\ast$EDM considerations limit the range of the phases considerably and we use the
ranges $[0,0.3]$, $[\pi-0.3,\pi+0.1]$, and $[2\pi-0.1,2\pi]$ for generating points that
are subject to all of the experimental constraints.}
\end{table}

\subsection{Tools}
\label{sec:tools}

The computational tools we use are LanHEP \cite{Semenov:2010qt} for model file creation
and micrOmegas (v.2.4.1) for the main numerical analysis \cite{Belanger:2006is}.
Calculating the spectrum and diagonalizations are performed using the EISPACK
\cite{Garbow:1974sr} routines and calculation of electric dipole moments and rare decay
branching ratios is performed by a dedicated Mathematica code. B-physics constraints are
calculated by NMSSMtools \cite{Ellwanger:2005dv,Ellwanger:2006rn} using the supplied NMSSM
model.

There are two caveats to the use of NMSSMtools which we will briefly address here. One is
that the NMSSM model does not include a right-handed neutrino. However, loop
contributions to the calculation of \ensuremath{\mathrm{BR}(B \to X_s \gamma)}\xspace and \ensuremath{\mathrm{BR}(B_s \to \mu^+ \mu^-)}\xspace that involve a right-handed sneutrino
will be suppressed by $Y_N^2/Y_{\tau/\mu}^2$ compared to the corresponding left-handed contributions and
are thus negligible in our model. The other caveat to using NMSSMtools is that CP
violation is not implemented in the supplied NMSSM model. Two factors can affect the calculation:
changes in the model's spectrum due to non-zero CP phases, and changes in the couplings of
the fields. For the particles appearing in the tree level and 1-loop contributions to
\ensuremath{\mathrm{BR}(B \to X_s \gamma)}\xspace, \ensuremath{\mathrm{BR}(B^+ \to\tau^+\nu_\tau)}\xspace, and \ensuremath{\mathrm{BR}(B_s \to \mu^+ \mu^-)}\xspace, the spectrum changes continuously from
$\delta_2,\delta_S=0\to\delta_2,\delta_S\neq 0$. To judge the impact of CP phases on the
calculations we did a comparative analysis using the MSSM for which both CP-conserving and
CP-violating code bases exist in NMSSMtools. In the limit of small CP phases we find that
the difference in the results for \ensuremath{\mathrm{BR}(B \to X_s \gamma)}\xspace, \ensuremath{\mathrm{BR}(B^+ \to\tau^+\nu_\tau)}\xspace, and \ensuremath{\mathrm{BR}(B_s \to \mu^+ \mu^-)}\xspace is at the 5\% level for phases as
large as $\pi/10$ and more generally at the level of 1\% for phases $<0.1$.

This gives us confidence that the CP-conserving NMSSM model can be used to calculate
$B$-physics constraints in the regime of small CP-violating phases ($\delta_2,
\delta_S<0.1$). Satisfying the EDM constraints restricts us naturally to this regime. We
find that in our CP-violating data set most points that satisfy EDM constraints have
$|\delta_2|<0.05$ (modulo $\pi$). The phase $\delta_S$ is not as constrained and in
general the phases $\delta_2$ and $\delta_S$ can both have large values such that the
physical phases entering EDM calculations are fine tuned to be small. However, to simplify
calculations and to be able to use the NMSSMtools package mentioned above we restrict both
phases to the ranges $[0,0.3]$, $[\pi-0.3,\pi+0.1]$, and $[2\pi-0.1,2\pi]$ when generating
points that are subjected to all the experimental constraints we impose.

\subsection{Constraints}
\label{sec:constraints}

In order to examine only physically relevant parameter regions, a number of constraints
are taken into account during our computations. We check the scalar sector for vacuum
stability and the sparticle spectrum against the most recent PDG limits
\cite{Nakamura:2010zzi}.

The LEP experiment places the lower limit on the standard model Higgs boson mass at 114
GeV. As the Higgs boson can only be detected by its decay products, not directly, a model
independent way to use the experimental results is to investigate the bounds on Higgs
boson couplings to $ZZ$ and $hZ$. In the NMSSM the couplings $hZZ$ and $hhZ$ may differ
from the standard model and consequently the mass of the Higgs boson can be below 114 GeV,
provided that the couplings are sufficiently small. The reduced Z couplings are
\begin{eqnarray}
g_{h_iZZ}&=& \cos\beta\,\mathcal{O}_{1i} + \sin\beta\,\mathcal{O}_{2i}\\
g_{h_ih_jZ}&=&(\sin\beta\,\mathcal{O}_{4i}+\cos\beta\,\mathcal{O}_{5i})
(\cos\beta\,\mathcal{O}_{2j}-\sin\beta\,\mathcal{O}_{1j})
-(i\to j)
\end{eqnarray}
with $\mathcal{O}_{ij}$ the 6 $\times$ 6 neutral Higgs mixing matrix. We use the most recent limits
these couplings impose on the Higgs mass, which are presented in \cite{Schael:2006cr}. The recent
results from the LHC and Tevatron experiments imply that the SM-like Higgs boson mass
should be around $m_H \sim 125$ GeV \cite{Collaboration:2012si,Chatrchyan:2012tx}. In our
analysis we thus also require one of the Higgs states to have a mass between 123 -- 128
GeV. The 125 GeV Higgs signal in the NMSSM has recently been studied in
Refs.~\cite{Ellwanger:2011aa,Gunion:2012zd,King:2012is,Vasquez2012qqq}.

The phases $\delta_2$ and $\delta_S$ that introduce CP violation in our model are flavor
diagonal and thus are expected to be highly constrained from, e.g, the electron electric
dipole moment measurements. Current limits \cite{Beringer:1900zz} constrain the
electron EDM to be below
\begin{equation}
d_e < 1.05\cdot 10^{-27} {\rm ecm} .
\end{equation}
The NMSSM specific contributions to \ensuremath{\mathrm{BR}(B \to X_s \gamma)}\xspace from the extended Higgs and neutralino
sectors arise only at two-loop level \cite{Ellwanger:2009dp} and, in general, are
considered to be small \cite{Hiller:2004ii,Domingo:2007dx}. In our calculations, the
theoretical uncertainties \cite{Misiak:2006zs,Ellis:2007fu} are combined with the present
experimental value \cite{Asner:2010qj}, which leads to \cite{Huitu:2011cp}
\begin{equation}
  \label{eq:4}
  BR(B \to X_s \gamma) = (355 \pm 142) \times 10^{-6}.
\end{equation}

The impact of the NMSSM on the branching ratio \ensuremath{\mathrm{BR}(B^+ \to\tau^+\nu_\tau)}\xspace is only indirect, and the extra singlet
contributions are suppressed by the small neutrino Yukawas as mentioned earlier. The new
physics  contribution to the branching ratio can be quantified by defining a ratio
\cite{Isidori:2006pk,Bhattacherjee:2010ju}
\begin{equation}
  0.99<\frac{\mathrm{BR}(B^+\to\tau^+
    \nu_\tau) _{\mathrm{\,SM+SUSY}} }
  {\mathrm{BR}(B^+\to\tau^+\nu_\tau)_{\mathrm{SM}}}< 3.19,
  \label{RatioExp}
\end{equation}
where the numerator denotes the branching ratio in the SUSY scenario. The constraint
\eqref{RatioExp} tends to prefer small values of \ensuremath{\tan\beta}\xspace in order not to decrease the ratio
too much below the lower limit. A large charged Higgs mass decreases the new physics
contributions in general.

The effect of our model on \ensuremath{\mathrm{BR}(B_s \to \mu^+ \mu^-)}\xspace at one loop comes from right-handed (s)neutrinos and is
thus suppressed by the smallness of the neutrino Yukawa coupling. We apply the limit from \cite{Aaij:2012ac}
\begin{equation}
\ensuremath{\mathrm{BR}(B_s \to \mu^+ \mu^-)}\xspace < 4.5 \cdot 10^{-9}
\end{equation}

The anomalous magnetic moment of the muon has been measured quite precisely. However, there is
uncertainty in the reliability of the theoretical prediction due to hadronic and
non-perturbative effects.  Therefore, we do not use the magnetic moment as a constraint.

The relic density of cold dark matter in the universe is determined by the Wilkinson
Microwave Anisotropy Probe (WMAP) \cite{Komatsu:2010fb} to be $\Omega_c h^2 = 0.1126 \pm
0.0036$.  If 10 \% theoretical uncertainty is added \cite{Baro:2007em} we find the
preferred WMAP range
\begin{equation}
  \label{wmaplimits}
  0.0941
  < \Omega_c h^2 <
  0.1311
\end{equation}
at  $2~\sigma$ level. As the dark matter may also contain a component of a
non-supersymmetric origin, we have used only the upper bound as a constraint.

\section{The effects of SCPV on the relic density and other constraints}
\label{sec:cp-violation}

In this section we show the effects of CP violation on the relic density of the LSP. All
plots contain points from the CP-violating data set unless otherwise specified. All points
also satisfy PDG constraints on the mass spectrum and vacuum stability.

Spontaneous CP violation is known to change the spectrum of the scalar sector in a
discontinuous manner. For small values of the phases there appears a light state, $h_S$,
in the spectrum \cite{Georgi:1974au}. Experimental constraints on the Higgs boson mass
force this light state to be singlet dominated \cite{Schael:2006cr}. We define the doublet
content of $h_S$ as
\begin{equation}
\ensuremath{\epsilon_{sd}}\xspace = \sum_{i={1,2,4,5}}\mathcal{O}_{i\,2}^{\,2}
\end{equation}
with $\mathcal{O}$ the neutral Higgs mixing matrix and the free index $i$ runs over the
elements corresponding to the lightest Higgs' gauge eigenstates separated into CP-even and
CP-odd parts, i.e. $\{\mathrm{Re}H_1^0, \mathrm{Re}H_2^0, \mathrm{Re}S, \mathrm{Im}H_1^0,
\mathrm{Im}H_2^0, \mathrm{Im}S\}$. We find that for our data points the value of \ensuremath{\epsilon_{sd}}\xspace is
between 0.1 -- $10^{-5}$. The presence of this light singlet state has different effects
depending on what kind of LSP we have.

The addition of the singlet to the model also opens up the possibility for the neutralino
LSP to have a significant singlino admixture and thus behave differently from its usual
MSSM counterpart. We denote the singlino component of the neutralino LSP as
\begin{equation}
\ensuremath{\epsilon_{\chi s}}\xspace = |N_{51}|^2,
\end{equation}
where $N$ is the neutralino mixing matrix. We find that already at values of 0.1 the
behavior of, e.g., the relic density of the neutralino depends significantly on the Lagrangian
parameters associated with the singlino.

The other masses in the spectrum are also affected by the CP phases, but in a continuous
way, meaning that for small values of the phases the spectrum is very close to the CP
conserving spectrum. This means that in calculations of observables, such as the relic
density or rare decay branching ratios, the dominant effect comes from the new light scalar
introduced by SCPV in our model.

We already discussed that for B physics constraints the effect of small CP-violating
phases is negligible. We additionally find that the appearance of $h_S$ has very little
effect since it doesn't appear in the calculations of \ensuremath{\mathrm{BR}(B \to X_s \gamma)}\xspace, \ensuremath{\mathrm{BR}(B^+ \to\tau^+\nu_\tau)}\xspace, and \ensuremath{\mathrm{BR}(B_s \to \mu^+ \mu^-)}\xspace until two
loop order. The charged Higgses contribute already at lower order but their masses change
continuously with the CP phases and thus the effect of CP violation remains limited in the
regime of small CP phases. However, in the case of the relic density there are new,
possibly dominant, annihilation channels that open up with the appearance of $h_S$
depending on what kind of LSP we have.

Figures \ref{fig:feynChi} and \ref{fig:feynSnu} show the leading coefficients for two
classes of direct annihilation channels, i.e., those with $f\bar f$, $f\in [q,l,\nu]$, and
those with $h_Sh_S$ final states in the case of a neutralino or a sneutrino LSP,
respectively. We show neither the diagrams for vector boson final states nor for the
various co-annihilation channels; the coefficients are all sub leading or the same as for
 the $f\bar f$ diagrams. In the numerical calculations we naturally take
all these channels into account. As we can show, this rough approximation provides a good
understanding of the parametric dependence of the relic density. We have abbreviated the
typical electroweak coupling $\frac{e}{2s_Wc_W}\equiv C\simeq 0.37$.

\begin{figure}[ht]
\begin{center}
\begin{tabular}{clcl}
\includegraphics[width=0.24\textwidth]{Chi_s-channel_3.pdf}&
\raisebox{0.9cm}{
	\begin{tabular}{l}
		$\buildrel d\over\sim C^2$\\
		$\buildrel s\over\sim 0$
	\end{tabular}
	}&
\includegraphics[width=0.24\textwidth]{Chi_s-channel_2.pdf}&
\raisebox{0.9cm}{
	\begin{tabular}{l}
		$\buildrel d\over\sim C^2\ensuremath{\epsilon_{sd}}\xspace^2$\\
		$\buildrel s\over\sim 0$
	\end{tabular}
	}\\
\includegraphics[width=0.24\textwidth]{Chi_s-channel_4.pdf}&
\raisebox{0.9cm}{
	\begin{tabular}{l}
		$\buildrel d\over\sim C\cdot(Y_f,\lambda_N\ensuremath{\epsilon_{sd}}\xspace)$\\
		$\buildrel s\over\sim \kappa\cdot(\lambda_N,Y_f\ensuremath{\epsilon_{sd}}\xspace)$
	\end{tabular}
	}&
\includegraphics[width=0.24\textwidth]{Chi_s-channel_1.pdf}&
\raisebox{0.9cm}{
	\begin{tabular}{l}
		$\buildrel d\over\sim C\ensuremath{\epsilon_{sd}}\xspace\kappa$\\
		$\buildrel s\over\sim \kappa^2$
	\end{tabular}
	}\\
\includegraphics[width=0.24\textwidth]{Chi_t-channel_1.pdf}&
\raisebox{0.9cm}{
	\begin{tabular}{l}
		$\buildrel d\over\sim (C,Y_f)^2$\\
		$\buildrel s\over\sim \lambda_N^2$
	\end{tabular}
	}&
\includegraphics[width=0.24\textwidth]{Chi_t-channel_2.pdf}&
\raisebox{0.9cm}{
	\begin{tabular}{l}
		$\buildrel d\over\sim (\lambda,C\ensuremath{\epsilon_{sd}}\xspace)^2$\\
		$\buildrel s\over\sim (\kappa,\lambda\ensuremath{\epsilon_{sd}}\xspace)^2$
	\end{tabular}
	}
\end{tabular}
\caption{\label{fig:feynChi}Tree level pair annihilation channels for the neutralino into
$f\bar f$/$h_Sh_S$. Leading coefficients for the doublet (d) and singlet (s) component of
the neutralino are given. The addition of a light singlet scalar to the spectrum opens
additional channels.}
\end{center}
\end{figure}
Fig.~\ref{fig:feynChi} shows the pair annihilation channels in the case of a neutralino
LSP. We have separated the leading coefficients for the case of a pure singlino as
``singlet" and group the couplings to all the other gauge eigenstates under ``doublet". We
see that for the doublet component of the neutralino the dominant contributions are $\sim
C^2$ with most of the new $h_S$ final states suppressed by \ensuremath{\epsilon_{sd}}\xspace.

For the singlet component of the neutralino the story is different. The unsuppressed
$\sim\lambda_N$, $\lambda_N^2$ channels for the $f\bar f$ final states are available only
if the right-handed neutrino is lighter than the LSP. Even then, $m_{\nu_R}$ depends on
$\lambda_N$ directly so having $m_{\nu_R}$ small may also significantly suppress these
channels if, e.g., $\langle S \rangle$ is large. The channels for $h_S$ final states on
the other hand contain unsuppressed $\kappa^2$ dependence. However, $\kappa$ also controls
the neutralino mixing in a way that for small values of $\kappa$ the LSP becomes highly
singlino dominated. In that case, the only available annihilation channels are those now
suppressed by the smallness of $\kappa$, which leads to a larger relic density.

These effects are shown in Fig.~\ref{fig:RDvskappa}. In the left plot we can see that
for small values of $\kappa\lesssim 0.05$ none of the neutralinos have an appreciable
doublet component and also that the relic density for singlino dominated LSPs is controlled by
$\kappa$. In the right plot we see how with a growing singlino component the presence
of the new $h_S$ final state channels significantly decrease the relic density compared to
the CP-conserving scenario beginning at $\ensuremath{\epsilon_{\chi s}}\xspace\gtrsim 0.001$. We also see that once only
the singlino channels are available the relic density can again become very large due to
suppression by $\kappa$.
\begin{figure}[ht]
\begin{center}
\vspace{0.5cm}
\begin{tabular}{cccc}
\begin{sideways}\hspace{1.5cm}$\Omega_c h^2$\end{sideways}&
\includegraphics[width=0.4\textwidth]{RDvsKapPlot.pdf}&
\begin{sideways}\hspace{1.5cm}$\Omega_c h^2$\end{sideways}&
\includegraphics[width=0.4\textwidth]{RDvsScomp.pdf}\\
& \raisebox{0.1cm}[-0.1cm]{$\kappa$}
&& \raisebox{0.1cm}[-0.1cm]{\ensuremath{\epsilon_{\chi s}}\xspace}
\end{tabular}
\vspace{-0.3cm}
\caption{\label{fig:RDvskappa}Left: The relic density against the trilinear coupling $\kappa$
for neutralino LSPs. Right: The relic
density against the singlino component of the neutralino LSP. Points with (blue circles)
and without (orange triangles) significant singlino
component. Green boxes depict points from the CP-conserving data set. The grey band
indicates the the current WMAP limits on the relic density.}
\end{center} \end{figure}

\begin{figure}[ht] \begin{center}
\begin{tabular}{clcl}
\includegraphics[width=0.25\textwidth]{Snu_s-channel_3.pdf}&
\raisebox{0.9cm}{
	\begin{tabular}{l}
		$\buildrel \scriptscriptstyle{L}\over\sim C^2$\\
		$\buildrel \scriptscriptstyle{R}\over\sim 0$
	\end{tabular}
	}&
\includegraphics[width=0.25\textwidth]{Snu_s-channel_2.pdf}&
\raisebox{0.9cm}{
	\begin{tabular}{l}
		$\buildrel \scriptscriptstyle{L}\over\sim C^2\ensuremath{\epsilon_{sd}}\xspace^2$\\
		$\buildrel \scriptscriptstyle{R}\over\sim 0$
	\end{tabular}
	}\\
\includegraphics[width=0.25\textwidth]{Snu_s-channel_4.pdf}&
\raisebox{0.9cm}{
	\begin{tabular}{l}
		$\buildrel \scriptscriptstyle{L}\over\sim C^2Y_f^2$\\
		$\buildrel \scriptscriptstyle{R}\over\sim \lambda_N\kappa$
	\end{tabular}
	}&
\includegraphics[width=0.25\textwidth]{Snu_s-channel_1.pdf}&
\raisebox{0.9cm}{
	\begin{tabular}{l}
		$\buildrel \scriptscriptstyle{L}\over\sim C^4\ensuremath{\epsilon_{sd}}\xspace^2$\\
		$\buildrel \scriptscriptstyle{R}\over\sim \lambda_N\kappa$
	\end{tabular}
	}\\
\includegraphics[width=0.25\textwidth]{Snu_t-channel_2.pdf}&
\raisebox{0.9cm}{
	\begin{tabular}{l}
		$\buildrel \scriptscriptstyle{L}\over\sim C^4$\\
		$\buildrel \scriptscriptstyle{R}\over\sim \lambda_N^2$
	\end{tabular}
	}&
\includegraphics[width=0.25\textwidth]{Snu_t-channel_1.pdf}&
\raisebox{0.9cm}{
	\begin{tabular}{l}
		$\buildrel \scriptscriptstyle{L}\over\sim C^4\epsilon_{sd}^2$\\
		$\buildrel \scriptscriptstyle{R}\over\sim \lambda_N^2$
	\end{tabular}
	}\\
&&\includegraphics[height=2cm]{Snu_4-point.pdf}&
\raisebox{0.9cm}{
	\begin{tabular}{l}
		$\buildrel \scriptscriptstyle{L}\over\sim C^2\epsilon_{sd}^2$\\
		$\buildrel \scriptscriptstyle{R}\over\sim \lambda_N^2$
	\end{tabular}
	}
\end{tabular}
\caption{\label{fig:feynSnu}Tree level pair annihilation channels for the sneutrino into
$f\bar f$/$h_Sh_S$. Leading coefficients for the left-handed (L) and right-handed (R) case
are given. In the left-handed case the addition of a light singlet to the spectrum opens
up new channels but they are all suppressed by additional factors of $C^2$ or
$\epsilon_{sd}^2$ when compared to the originally dominant weak decay channel. In the
right-handed case the new $h_S$ final state channels are of the same order as the other decay
channels.}
\end{center}
\end{figure}
Fig.~\ref{fig:feynSnu} shows the pair annihilation channels for the sneutrino LSP. In the
case of a left-handed sneutrino the channels decaying into $h_Sh_S$ are suppressed by
additional factors of $C^2$ and/or \ensuremath{\epsilon_{sd}}\xspace. It is known that the left-handed sneutrino is a
poor LSP candidate if one wants to saturate the dark matter relic density limit
\cite{Falk:1994es}. This is caused by the fact that the dominant $\sim C^2$ weak decay
channel is always present for the left-handed sneutrino.

In the case of a right-handed sneutrino Fig.~\ref{fig:feynSnu} shows that the $h_Sh_S$
channels are all of the same order as the $f\bar f$ channels and collectively depend to
 leading order on $\lambda_N$ or $\lambda_N^2$. Thus, it is expected that the relic
density will be lower when compared to the CP-conserving case. The left plot in Fig.
\ref{fig:RDvsLamN} shows how the relic density for right-handed sneutrinos depends
strongly on $\lambda_N$, while the relic density for left-handed sneutrinos stays almost a
constant. The right plot in Fig. \ref{fig:RDvsLamN} shows the drop of the relic density
for the CP-violating case for right-handed sneutrino LSPs when compared to the
CP-conserving data. Although much of the set overlaps there is a clear systematic drop in
the mean relic density for the CP-violating set.

\begin{figure}[ht]
\begin{center}
\vspace{0.5cm}
\begin{tabular}{cccc}
\begin{sideways}\hspace{1.5cm}$\Omega_c h^2$\end{sideways}&
\includegraphics[width=0.4\textwidth]{RDvsLamNPlot.pdf}&
\begin{sideways}\hspace{1.2cm}$\log (\Omega_c h^2)$\end{sideways}&
\includegraphics[width=0.4\textwidth]{RsnuCPCvsCPXplot.pdf}\\
& \raisebox{0.1cm}[-0.1cm]{$\lambda_N$}
&& \raisebox{0.1cm}[-0.1cm]{$\lambda_N$}
\end{tabular}
\vspace{-0.3cm}
\caption{\label{fig:RDvsLamN}Left: The relic density against the trilinear coupling $\lambda_N$
for right-handed (blue circles) and left-handed (orange triangles) sneutrino LSPs. The
grey band indicates the current WMAP limits on the relic density. Right: A box-and-whisker diagram of the relic density against the trilinear coupling $\lambda_N$ comparing the distribution
of right-handed sneutrino LSPs in the CP-conserving (light
green) and CP-violating (blue) cases. Boxes are the 25 - 75 percentile range and whiskers
denote the complete range of the data.}
\end{center}
\end{figure}

\begin{figure}[ht]
\begin{center}
\vspace{0.5cm}
\begin{tabular}{cccc}
\begin{sideways}\hspace{1.5cm}$\Omega_c h^2$\end{sideways}&
\includegraphics[width=0.4\textwidth]{RDvsChi0mass.pdf}&
\begin{sideways}\hspace{1.5cm}$\Omega_c h^2$\end{sideways}&
\includegraphics[width=0.4\textwidth]{RDvsSnumass.pdf}\\
& \raisebox{0.1cm}[-0.1cm]{$m_{\Neu 1}$}
&& \raisebox{0.1cm}[-0.1cm]{$m_{\tilde\nu}$}
\end{tabular}
\vspace{-0.3cm}
\caption{\label{fig:omadata1}The relic density against the LSP mass. Left: for neutralino LSPs
in the CP-conserving (light green triangle), CP-violating doublet dominated (orange
triangle) and CP-violating significant singlino admixture, i.e. $\ensuremath{\epsilon_{\chi s}}\xspace>0.1$, (yellow dot) cases.
Right: for sneutrino LSPs in the CP-violating left-handed (orange dot) and CP-violating
right-handed (yellow triangle) case. The CP-conserving left-handed (light green dot) set
overlaps completely with the CP-violating counterpart. In both plots all points satisfy
PDG constraints on the mass spectrum and vacuum stability, large brown triangles or
circles indicate points that pass all of the other experimental constraints we impose. The
grey band indicates the current WMAP limits on the relic density.}
\end{center}
\end{figure}
In Fig.~\ref{fig:omadata1} all of the aforementioned effects are shown in unison. In the
plot on the left the fixed gaugino mass $M_1=300$ GeV causes the neutralino relic density
to spike at $m_{\scriptscriptstyle LSP}=M_1$ due to the small bino annihilation process cross section.
We also see that for other values of $m_{\scriptscriptstyle LSP}$ the neutralino has to be singlino
dominated (yellow dot) if we want to saturate the relic density limit and how in the case
of CP violation the relic density is significantly reduced compared to the CP conserving case.
 In the right plot we see that
left-handed sneutrino LSPs are poor candidates for saturating the relic density limit
regardless of CP violation, whereas for right-handed sneutrinos this is not a problem. The
scattered very low relic density points for the left-handed sneutrinos are due to the
presence of efficient slepton co-annihilations. Both plots also show how few points pass
all of the experimental constraints we impose. We find that the most restrictive
constraint is the electron EDM, e.g., in Fig.~\ref{fig:omadata1} removing all other CP, B
physics, and rare decay constraints only yields a single additional ``allowed" point.

In general we find that for constrained phases the effect on the relic density from
variations in the spectrum of the model is much smaller than the effect introduced by the
appearance of a light singlet scalar providing new annihilation channels for the LSP.
Depending on the LSP and its composition these channels are governed by the Lagrangian
parameters $\kappa$ and $\lambda_N$.

\section{Direct dark matter searches}
\label{sec:direct-detection}

There are currently several ongoing searches of weakly interacting massive particles
(WIMPs) in direct detection experiments. The goal of the experiments is to measure the
WIMP--nucleus interaction in the detector material. WIMPs scatter when they interact with
 nuclei, and the recoil energy can then be measured. As yet, the XENON100 experiment
puts the tightest limits on the WIMP-nucleon scattering cross section
\cite{Aprile:2011dd}. To compare the calculated proton/neutron cross sections with the
experimental limits, we use a normalized cross section for a point-like nucleus
\cite{Belanger:2010cd}:
\begin{equation}
  \label{eq:SIxs}
  \sigma_\text{SI} = \frac{(Z \sqrt{\sigma_{p}} +
    (A-Z)\sqrt{\sigma_{n}})^2}{A^2},
\end{equation}
$Z$ and $A$ being the atomic and mass number of the target element\footnote{For Xenon:
$A=131,\ Z=54$.} and $\sigma_{n,p}$ the spin-independent cross-sections for neutron and
proton target, respectively. Because there are large uncertainties in the local density of
dark matter and in the nuclear matrix elements that enter the computation of
$\sigma_\text{SI}$ \cite{Ellis:2005mb,Belanger:2008sj}, the direct detection limits are
only indicative.

Fig.~\ref{fig:directdet} shows the LSP mass versus the spin independent cross section for
a set of CP-violating points, as well as the XENON100 limit.
\begin{figure}[htb]
\centering
\includegraphics[width=0.6\textwidth]{dirdet-psf.pdf}
\caption{Spin-independent WIMP--nucleon cross section for CPV
  points. Points with triangular shape (black) have the right-handed
  sneutrino as an LSP, while the dots (orange) have neutralino LSP. The
  (green) cross above a point corresponds to a relic density above
  the WMAP upper limit, hence an excluded point. The
  solid line represents the XENON100 experimental limit.\label{fig:directdet}}
\end{figure}
We see that the XENON100 limit actually serves as a constraint, since a relatively large
portion of the parameter points are ruled out by the direct detection search. A roughly equal
number of points are still allowed by the XENON100 limit. The WMAP upper limit constraint
removes most of the sneutrino LSP points allowed by the XENON100 limit. However, some
points still evade both dark matter constraints. A large number of neutralino LSP points
are still allowed in the low neutralino mass region. In ref.~\cite{Perelstein:2012qg} it
was found that in the CP-conserving NMSSM the direct detection limits for the neutralino
LSP still allow a large number of points with low fine tuning, especially for a large
$\lambda$ parameter.

\section{Signatures at the colliders}
\label{sec:sign-at-coll}

In this section we focus on the possible signals from the supersymmetric particle spectrum
realized by the model respecting all relevant low energy constraints and generating
an acceptable amount of relic density. Notwithstanding the fact that we have already
restricted the parameter space of the model significantly by various constraints, recent
observation of a $\sim 125-126$ GeV Higgs like boson at LHC by both the CMS
\cite{CMS:2012gu} and ATLAS \cite{Atlas:2012gk} Collaborations further helps in narrowing
down the allowed sparticle spectrum.

As discussed in Sec.~\ref{sec:cp-violation} in the model used here with SCPV a light scalar
state $h_1\equiv h_S$ exists and thus the branching ratio of the decay of the $\sim 125$
GeV Higgs, $h_2$, into a pair $h_S$ is of particular interest. A limit on $\mathrm{BR}
(h_2\to h_Sh_S)$ could be useful in further constraining this type model. We find that
{\em a priori} requiring $m_{h_S}>m_{h_2}/2$ is problematic since a larger mass for the
singlet type Higgs implies larger CP violation and thus the limits on the EDMs exclude
these points. Instead we extract the $hhh$ coupling as
\begin{eqnarray}
C_{ijk}^{hhh} &=& i \sum_{r,s,t}^{6,6,6}
\mathcal{O}_{ir} \mathcal{O}_{js} \mathcal{O}_{kt}
\frac{\delta}{\delta \phi_r}\frac{\delta}{\delta \phi_s}\frac{\delta}{\delta \phi_t}
\mathcal{L}_{int}\genfrac{}{}{0pt}{}{}{|_{\rm vev}},\\
\phi&\in&\{\mathrm{Re}H_1^0,\mathrm{Re}H_2^0,\mathrm{Re}S,\mathrm{Im}H_1^0,\mathrm{Im}H_2^0,\mathrm{Im}S\}
\end{eqnarray}
with $\mathcal{O}$ the Higgs mixing matrix and require $|C^{hhh}_{211}|<1$GeV.
From the points that clear this limit we have selected a few which also clear the EDM,
B-physics, and rare decay constraints and are favored by relic density and analyze
their signal at LHC. We have listed the benchmark points (BP) in Table \ref{tab:benchpts}.
Note that LHC has already put some strong limits on the squark and gluino masses
\cite{CMS:2012jx,Collaboration:2012rz}, albeit these constraints are model dependent and
also depend on the way the heavy particles decay. However, for our analysis, we have made
a consistent choice of parameters where the strongly interacting sector of the sparticle
spectrum remains above a TeV and is, therefore, unconstrained from LHC data. This implies
that our analysis will focus on the weakly interacting sector of the spectrum
\textit{viz.}, sleptons, gauginos/higgsinos and the Higgs.

Our choice for parameter points leads to a right-handed sneutrino LSP or a neutralino LSP.
For \texttt{BP6} and  \texttt{BP7} the LSP comes out to be a right-handed sneutrino
with a mass of $\sim 6$ GeV and $\sim 184$ GeV, respectively. All the other benchmark
points have a neutralino as an LSP. We focus on each benchmark point individually and
highlight the most likely signals for the different parameter choices at LHC in our model.

\begin{table}[ht]
\begin{center}
\begin{minipage}[b]{1\linewidth}\centering
\small
\begin{tabular}{|c|c|c|c|c|c|c|c|c|}
\hline
        & \texttt{BP1} &\texttt{BP2} &\texttt{BP3} &\texttt{BP4} &\texttt{BP5} &\texttt{BP6} &\texttt{BP7} \\ \hline
$\ensuremath{\tan\beta}\xspace$       &45.7    & 12.4   & 33.9   & 26.9  & 30.1  & 43.5   & 44.9   \\
$\lambda$   & 0.114  & 0.355  & 0.363  & 0.347 & 0.430 & 0.259  & 0.341  \\
$\kappa$    & 0.038  & 0.63   & 0.231  & 0.294 & 0.357 & 0.174  & 0.292  \\
$v_S$ (GeV) & 4277.2 & 1160.2 & 964.8  & 914.8 & 487.5 & 1881.9 & 816.7  \\ \hline
$\lambda_N$ & 0.721  &0.008   & 0.032  & 0.498 & 0.269 & 0.035  & 0.750  \\
$A_{\lambda_N}$ (GeV)
            & 337.0  & 25.2   & -668.9 & 319.7 & 365.3 & -135.5 & -975.5 \\
$M_N$ (GeV) & 447.7  & 449.8  & 494.7  & 401.1 & 341.5 & 207.6  & 135.7  \\
$M_{L,E}$ (GeV)
            & 307.1  & 419.5  & 432.0  & 431.9 & 472.7 & 320.3  & 377.0  \\ \hline
$\delta_S$  & 3.228  & 0.156  & 3.142  & 3.203 & 3.213 & 3.199  & 3.173  \\
$\delta_2$  & 0.111  & 0.034  & 0.010  & 0.249 & 3.037 & 0.142  & 0.173  \\
$\xi$ (GeV) & 118.1  & -991.3 & 522.9  & 318.9 & 253.0 & 109.8  & 300.6  \\
\hline
LSP-type    & $\chi_0$ & $\chi_0$ & $\chi_0$ & $\chi_0$ & $\chi_0$ & $\tilde\nu_R$ & $\tilde\nu_R$ \\
$m_{\scriptscriptstyle LSP}$ (GeV)
            & 296.3  & 290.9  & 286.3  & 276.7 & 194.6 & 5.7   & 183.7\\
$\Omega_ch^2$
            & 0.062  & 0.098  & $8.3\cdot 10^{-3}$
& $8.3\cdot 10^{-4}$ & $6.5\cdot 10^{-4}$ & $3.3\cdot 10^{-6}$ & $2.9\cdot 10^{-4}$ \\
\hline
\end{tabular}
\end{minipage}
\caption{\label{tab:benchpts} Benchmark points for studying the signals of the
supersymmetric particles at LHC. Note that  $\mu=\lambda  v_S $ and other parameters are
the same as shown in Table \ref{tab:parCommon}. }
\end{center}
\end{table}

\pagebreak
\begin{itemize}

\item \textbf{BP1}

This point gives a neutralino LSP with mass $\sim 296$ GeV while the lightest sneutrino is
nearly degenerate at $\sim 300$ GeV. The chargino $\chi_1^+$ is much heavier (470 GeV)
than the second neutralino $\chi^0_2$ (322 GeV). Although this point is allowed by all
experimental data it does not give any significant cross sections at LHC in any channel.
The chargino pair production which is the largest is about 8 fb at LHC with $\sqrt{s}=14$
TeV. The dominant decay for the chargino is to charged leptons and lighter sneutrinos
which then decay invisibly. So the final state which could be observed at LHC is
$\ell^+_i\ell^-_j\slashed{E}_T$ which would require substantial luminosity to separate it
from the large SM background coming from the $W^+W^-$ production. The point also gives a
very light scalar of $\sim 2.7$ GeV which is dominantly singlet with very suppressed
couplings to all SM particles, such that it is not constrained by any experimental data.

\item \textbf{BP2}

For this point we have a relatively small $\tan\beta$ and $\lambda_N$ as compared to all
other points. The LSP is the lightest neutralino which has a mass of $\sim 291$ GeV. The
small value of $\lambda_N$ leads to a very light right-handed neutrino of mass $\sim 19$
GeV. This state has a very small mixing with the left-handed neutrino and thus is not
constrained by the measured $Z$ width or other low energy data. The strongest signal for
this point at LHC is through the production of first chargino and second neutralino
($\chi^+_1 \chi^0_2$) whose mass is about 400 GeV with a cross section of $\sim 5$ fb for
the current run at LHC with $\sqrt{s}=8$ TeV while the next significant production cross
section is for the pair production of charginos ($\chi^+_1 \chi^-_1$) with a cross section
of  $\sim 4$ fb. All other production modes are suppressed. The cross sections are
increased by a factor of $\sim 3-4$ at LHC with  $\sqrt{s}=14$ TeV while other modes also
become accessible with high luminosity. However, we note that the mass difference of these
states with the LSP is only about 100 GeV. Both the $\chi_1^+$ and $\chi^0_2$ decay to the
LSP and a weak gauge boson with 100\% branching probability. Thus the pair production of
charginos will lead to a final state of $W^+W^-\slashed{E}_T$ where both $W$'s will have
small transverse momenta. The $\chi^+_1 \chi^0_2$ production leads to final states with
$W^+Z \slashed{E}_T$ with no suppression in branching ratios. This leads to interesting
signal of a Z peak, an associated charged lepton and large missing energy. The SM
background will be mostly from $WZ$ and triple gauge boson production where the large
$WZ$ production can be suppressed by demanding large $\slashed{E}_T$.

\item \textbf{BP3}

This point gives a neutralino LSP with a mass of  $\sim 286$ GeV with next lightest
supersymmetric particles being $\chi^0_2$ (338 GeV) and $\chi_1^+$ (341 GeV). This point
also gives us a light right-handed neutrino with mass $61$ GeV and an ultralight scalar
with mass 300 MeV. The largest production cross section in this case is again $\chi^+_1
\chi^-_1$ and $\chi_1^+\chi^0_2$ but the $\chi_1^+$  decays via off-shell weak
gauge boson ($W^+$) and off-shell sleptons/sneutrinos leading to final state particles
with small transverse momenta. The $\chi^0_2$ decays to an ultralight singlet scalar and
the LSP with 100\% probability. The signal production cross sections are about $\sim 7.5$
fb and $\sim 3$ fb, respectively, at LHC with $\sqrt{s}=8$ TeV, and a factor $\sim 3-4$
larger at LHC with $\sqrt{s}=14$ TeV. As the final decay products do not carry large
transverse momenta, isolating the signal from the background will be very challenging.

\item \textbf{BP4}

This point has a very similar spectrum to \texttt{BP3} except for a much heavier
right-handed neutrino with a mass of $\sim 910$ GeV as $\lambda_N$ is much larger. The
lightest scalar is the dominantly singlet component of the Higgs with mass $\sim 17$ GeV.
The neutralino LSP has a mass of $\sim 277$ GeV. The next to lightest supersymmetric
particle (NLSP) is the $\chi_1^+$ (311 GeV) while  $\chi^0_2$ (316 GeV) also is close and
nearly degenerate. The mass difference again forces the decay similar to that for
\texttt{BP3} with final states with small transverse momenta. The largest cross section in
this case is for the pair production of charginos ($\chi^+_1 \chi^-_1$) which is about 13
fb at LHC with $\sqrt{s}=8$ TeV which increases to $\sim 40$ fb for $\sqrt{s}=14$ TeV.

\item \textbf{BP5}

This point corresponds to a much lighter supersymmetric spectrum with a neutralino LSP of
mass $\sim 195$ GeV. The NLSP is  $\chi^0_2$ (199 GeV) with $\chi_1^+$ (204.5 GeV) the
next lightest. It also has a 262 GeV right-handed neutrino. The light spectrum leads to
much larger production cross sections, and the dominant production channels in this case
are $\chi^+_1 \chi^-_1, \chi^+_1 \chi^0_1$ and $\chi_1^+\chi^0_2$ with production
cross sections of around 74 fb, 86 fb and 82 fb, respectively, at LHC with $\sqrt{s}=8$
TeV. However, the mass difference of $\chi^+_1$ and $\chi^0_2$ with $\chi^0_1$ is less
than 10 GeV, and thus the transverse energy of the decay products is small. It would be
quite difficult to trigger on such soft leptons and jets that result from the 3-body
decays of  $\chi^+_1$ and $\chi^0_2$. A detailed analysis would be required to isolate
signals which would be relevant to highlight for LHC searches.

\item \textbf{BP6}

Unlike the other points, we get a right sneutrino LSP for this parameter choice with a
mass of $\sim 6$ GeV. Pair production of the LSP has the largest cross section but will
pass through the detector undetected. The other significant cross sections ($\chi^+_1
\chi^-_1, \chi_1^+\chi^0_2$) are relevant only at LHC with $\sqrt{s}=14$ TeV with
production cross sections of  less than 8 fb. The decay of the  $\chi_1^+$ and $\chi^0_2$
is however different from that of \texttt{BP2} with suppressed probabilities in similar
channels and therefore the signal gets suppressed further. Much like \texttt{BP1} we get a
light scalar with a mass of  $\sim 2.5$ GeV. We also get a light right-handed neutrino of
mass 130 GeV which can lead to interesting signals if there is significant mixing with the
left-handed neutrinos.

\item \textbf{BP7}

Our final benchmark point gives us a right sneutrino LSP of mass
$\sim 184$ GeV. This point also gives a light scalar Higgs of mass $\sim 8.4$ GeV in the
mass spectrum. The $\chi^0_1$ (254 GeV) is the NLSP while the right-handed neutrino mass
is above 1 TeV. The largest production cross section in this case is for $\chi^+_1
\chi^-_1$ where the chargino mass is $\sim 273$ GeV, which at LHC with $\sqrt{s}=8$ TeV is
about 22 fb and jumps up to $\sim 65$ fb for $\sqrt{s}=14$ TeV. The chargino decays to a
$\tau$ and LSP with 60\% branching probability while it decays 20\% of the time to
electron/muon and LSP.  This leads to final states of two charged leptons with large
missing energy. Other relevant channels are from production of  $\chi^0_1\chi^0_2,
\chi^+_1\chi^0_1$ and  $\chi^+_1\chi^0_2$ where the  $\chi^0_1$ decays invisibly while the
 $\chi^0_2$ decays to the light scalar Higgs and  $\chi^0_1$ with 100\% probability.

\end{itemize}

Although we discuss some possible signals at LHC for our model with different choices of
the parameter space a more detailed analysis of both signal and background is needed which
we leave for future work. The CP-violating effects due to non-zero phases can affect
several observables reconstructed from the cascade decays of the charginos, neutralinos or
the scalars in the model and have been highlighted in various studies
\cite{MoortgatPick:2010wp,Kittel:2011sq,Bornhauser:2011ab,Berger:2012gh} and we aim to
apply these studies in our future analysis of the model at LHC in our next publication
\cite{future_studies}.

\section{Summary and discussion}
\label{summary}

We have studied the viability of the right-handed sneutrino and neutralino dark matter in
the NMSSM, and the effect of CP violation on the dark matter relic density and the direct
detection potential. The studied model contains, in addition to the MSSM fields, two
singlet superfields and interaction terms. This extends the Higgs sector, adds the
right-handed neutrino field to the model, and allows the right-handed sneutrino to
become a thermally produced dark matter candidate. We took into account the \ensuremath{\mathrm{BR}(B \to X_s \gamma)}\xspace, \ensuremath{\mathrm{BR}(B^+ \to\tau^+\nu_\tau)}\xspace, and \ensuremath{\mathrm{BR}(B_s \to \mu^+ \mu^-)}\xspace
bounds, the discovery of the Higgs and sparticle searches, and constrained the model
parameters by calculating the dark matter relic density, including co-annihilations. We
calculated also the direct detection rates for the nucleon--DM spin-independent cross
section, and compared that to the XENON100 limit. We have found that for constrained
CP-violating phases the effect on the relic density from variations in the spectrum of the
model is much smaller than the effect introduced by the appearance of a light singlet
scalar providing new annihilation channels for the LSP. In particular for neutralinos and
right-handed sneutrinos these new channels lower the relic density. In some cases, the
left-handed sneutrinos co-annihilate very efficiently with other sleptons resulting in
very low relic density. The spin-independent cross section can be used to constrain the
models with a light sneutrino LSP, as for these models the direct detection limit tends to
be complementary to the relic density constraint. The neutralino dark matter, however,
remains rather unconstrained by the direct detection limits. We have also used our
analysis to identify a set of benchmark points which satisfy all constraints and favor DM
data. We have used these benchmark points to highlight the most important signals for the
model that can be observed at the current and future run of the LHC.

\section{Acknowledgments}
KH, LL, and TR acknowledge support from the Academy of Finland (Project No. 137960).  The
work of JL is supported by the Foundation for Fundamental Research of Matter (FOM),
program 104 ``Theoretical Particle Physics in the Era of the LHC".  LL thanks Magnus
Ehrnrooth Foundation for financial support. SKR is supported in part by the United States
Department of Energy, Grant Number DE-FG02-04ER41306.

\bibliographystyle{JHEP}

redpajama_set_name: RedPajamaArXiv


text:
namespace Gallio.Icarus.ProjectProperties
{
    /// <summary>
    /// Marker interface for IoC.
    /// </summary>
    public interface IView
    {
    }
}

redpajama_set_name: RedPajamaGithub


Discover free woodworking plans and projects for detached garage floor free. Start your next project for detached garage floor free with one of our many woodworking plans. Woodworking project plans available for immediate PDF download.
Updated Kent Home With Attached & Detached Garages!


The Howard Steamboat Museum in Jeffersonville, Indiana, is dedicated to preserving the history of Howard Shipyards and three generations of the Howard family that owned and operated the largest inland shipbuilding site in America for over 100 years (1834-1942). The museum also fosters appreciation of the development of steamboats and inland river commerce during the same period.
The museum's photograph collection, which is housed in the University of Louisville Photographic Archives, consists primarily of images captured by Captain James E. Howard (1875-1956) between 1888 and 1934. His glass plate negatives showcase more than 300 completed vessels and document the construction of at least 200 boats built, or rebuilt, at Howard Shipyard. Captain Jim's negatives also include pictures of family members, the family mansion, extreme weather incidents in the Jeffersonville area, and boats built at other shipyards. After his death, additional prints, negatives and postcards, most by unknown photographers, were added to the collection.
In 1962, a group of volunteers helped Loretta M. Howard organize her late husband's negatives stored on the third floor of the family mansion. When a furnace fire severely damaged the mansion in 1971, destroying both staircases, the same group managed to retrieve over 1400 of Captain Jim's heavy glass plate negatives and salvage many of the other prints and negatives as well. The negatives were cleaned, re-sleeved, and stored at Lin Caufield Studio in Louisville, Kentucky until 1986 when they were transferred to UofL Photographic Archives as a permanent loan.
This digital collection currently features 790 images of 195 boats built, or being built, at Howard Shipyard in Jeffersonville, Indiana. There are a few images which have Captain Howard listed as the collector, and not photographer, because it appears he photographed pictures taken by other photographers. The digital collection will be expanded to include the entire physical collection.
The University of Louisville welcomes fair use of this website and its contents. If you wish to publish, broadcast, or publicly display these materials, it is your responsibility to determine and satisfy copyright or other use restrictions by contacting the Howard Steamboat Museum. To order reproductions for personal use, see Order Reproductions, or contact Archives and Special Collections, University of Louisville.
Jim Reising, one of the volunteers who helped save the Howard Steamboat Museum negatives and photographs in the 1960s and 1970s, scanned the entire collection between 2008 and 2011. The negatives were scanned on an Epson Expression 1680 as 600 ppi TIFF images in 8-bit grayscale sized at 10 inches on the long side. Some images were cropped to exclude damaged areas of the negatives. Susan Finley cataloged, converted, and uploaded the images as lossy JPEG2000 files of Maximum quality, using CONTENTdm Digital Collection Management Software version 5.3.1.
Notes from, and interviews with, Captain Alan L. Bates, naval architect, columnist for the Waterways Journal, author of books on riverboat lore and technology, founding member of the Howard Steamboat Museum Board of Directors, and one of the volunteers that helped save and preserve the collection.
Way, Frederick. Way's Packet Directory, 1848-1994: Passenger Steamboats of the Mississippi River System Since the Advent of Photography in Mid-continent America, Athens, Ohio: Ohio University, 1994.
Way, Frederick. Way's Steam Towboat Directory. Athens, Ohio: Ohio University, c. 1990.
Fishbaugh, Charles Preston, From Paddle Wheels to Propellers: the Howard Ship Yards of Jeffersonville in the Story of Steam navigation on the Western Rivers. Indianapolis, Indiana: Indiana Historical Society, 1970.


text:
Kristen Stewart Overview
Born: April 09, 1990
Born in Colorado but raised in Los Angeles, Kristen Stewart, whose father is TV producer John Stewart, played her first role as Patricia Clarkson's tomboy daughter in the indie film The Safety of Objects (2001). Her next role was a co-starring one as Jodie Foster's diabetic daughter (also a tomboy) in Panic Room (2002). Originally, another young actress had been cast when Nicole Kidman was scheduled to play the lead. But when Kidman was injured and had to drop out, Foster took over the part and... See All
Happiest Season
Interviews & Videos (44)
Kristen Stewart & Jesse Eisenberg - American Ultra
Kristen Stewart (Twilight)
Kristen Stewart (The Twilight Saga: Breaking Dawn - Part 2)

redpajama_set_name: RedPajamaCommonCrawl


text:
g.fast
PointTopic: Fiber & cable make up 3/4 of global fixed broadband subscriptions
Fiber and cable networks are dominating the global broadband market, with the technologies now servicing 77% of fixed subscriptions, new figures from Point Topic have revealed.
According to the Global Broadband Statistics, which take into account subscriptions up to the end of 2017, more than 50% of people in more than 40 countries, including Singapore (97%), China (89%), United States (87%), and the UK (55%), are connected via full-fiber, fiber-fed copper or cable.
Point Topic Research Director Dr Jolanta Stanke told the Broadband Forum:
"We are finding that customers across most global regions increasingly prefer faster broadband services delivered over fiber and cable platforms, as opposed to ADSL. This trend will continue as more bandwidth-hungry young consumers become paying decision makers, even though superfast 4G LTE and 5G mobile broadband services will compete for their wallets."
Fiber-fed subscriptions – including Fiber-to-the-Home (FTTH), Fiber-to-the-Building (FTTB), Fiber-to-the-Cabinet (FTTC), Very High Bitrate Digital Subscriber Line (VDSL), VDSL2 and G.fast – accounted for 57% of broadband subscriptions, with more than 530 million connections. Stanke agreed VDSL and Gfast were together largely responsible for the growth that fiber has seen, with more than 30 operators across all continents deploying or trialing G.fast.
"G.fast gives operators a more cost-effective variant of fiber that will be used by operators who want to upgrade their existing networks quicker and more easily," she added. "This could enable them to serve more customers in less densely populated areas, where direct fiber investment is less economically feasible."
In total, cable, including hybrid fiber-coaxial, accounted for 20% of all fixed broadband connections. According to the report, the latest standard of this technology is currently deployed across several markets, being especially popular in North America, and can deliver gigabit download speeds.
Broadband Forum CEO Robin Mersh said the figures reflect the fact that new technologies that let operators deploy fiber deep into the network without having to enter buildings themselves are quickly moving from trials to mass deployment.
"If operators want to deliver competitive broadband services, maximizing their investments through the use of technologies like G.fast is vital," said Mersh. "Expanding the footprint of their existing fiber networks in this way is cost-effective and delivers the gigabit speeds consumers crave. The growing trend towards fiber, whether its fiber-fed copper or full fiber, and cable deployments highlighted by Point Topic's report confirms that the Forum's work on interoperability and management of 'fiber-extending' technologies is vitally important."
The voracious demand for connectivity is evident in the increased demand for fiber, cable and coax despite the parallel growth of LTE and MAYBE (?) "5G."
Though "5G" is in currently proprietary to each wireless network operator, huge investments in fiber, coax and copper are being made because strategic planners expect 5G to be mainstream in the next several years (we think NOT until late 2021 at the earliest when IMT 2020 recommendations are finalized and implemented in base stations and endpoint devices.
Last month, Broadbandtrends' Global Service Provider G.fast Deployment Strategies surveyed 33 incumbent and competitive broadband operators from across the globe. The market research firm found that four in five service providers have G.fast plans for this year and that 27% are in active deployments. AT&T is a huge supporter of G.fast while Verizon is not.
About the Broadband Forum
Broadband Forum, a non-profit industry organization, is focused on engineering smarter and faster broadband networks. The Forum's flagship TR-069 CPE WAN Management Protocol has now exceeded 800 million installations worldwide.
Posted in Broadband Status, Fiber vs Copper Broadband, g.fast	Tagged Broadband Forum, Point Topic


text:
Electronic Office Access
Visits form
Organs of government
Navigation Council
Economical Results
Port Legislation
Protection Data
Port and Commercial Services Specifications
Port Operations Procedures
Content of Historic Archive
Maritime Communications
Announcements and auctions
The Port
Wharehouses
Draft and tidal
Service area / Allocation of uses
Facilities for specific traffics
Cruises and passenger traffic
Liquid bulk
Solid Bulk
Ro-Ro Traffic
Intermodal terminal Jerez de la Frontera
Safety at work (C.A.E.)
Reception and handling plan for ship-generated waste and cargo residues
Free Trade Zone
Services for professionals
Customs and Border Inspection Post
Docking services
APBC supplies
Fees and Tariffs
Parking Card Application
Application for registration in the census and register of uses
Vessel Movements Daily Bulletin
Tides calendar
Meeting Point Port and City
Home Ι News Ι Port traffic grows by 14.36 percent in the Bay of Cadiz in the first four months
Estimated calls of cruises
Port traffic grows by 14.36 percent in the Bay of Cadiz in the first four months
The general total traffic of the Port of Cadiz Bay has accumulated a growth of 14.36 percent in the first four months of 2020 in relation to the same period of the previous year, with 1,451,779 tons.
According to the way the merchandise is presented, liquid bulks amount to 545,763 tons, with an increase of 46.78 percent, followed by solid bulks, which reach 496,852 tons and an increase of 10.14 percent. Of this last group, 382,044 tons are cereals and flours.
General merchandise, on the other hand, fell by 7.64 percent in the first four months of the year, with 381,693 accumulated tons, although, in the month of April, the decrease was reduced to 1 percent.
In this sense, we must highlight the monthly increase recorded by container traffic, which reached 82 percent in number (2,542), 69 percent in teus (3,928) and 174 percent in tons (48,808).
This growth is related to the restructuring of the CMA CGM lines, in service since the last third of April.
In the accumulated period of the four-month period, container traffic fell by 28 per cent in teus and 27 per cent in number, although the tons transported grew by 20 per cent to 95,751.
On the other hand, road traffic recorded a decline of 9 percent, with 258,194 tons moved, while fresh fish recorded a drop of 11 percent in tonnage, with 3,876 tons of goods auctioned, which reached a sales value of 12.87 million euros, 5.85 percent less than in April 2019.
Finally, the cruise ship traffic goes from 67 accumulated stops in the first four months of 2019 to 22 in 2020, which means a decrease of 67.16 percent, which in April reached 100 percent. With regard to the number of passengers, the drop reaches 57 percent, from 94,734 to 40,641, as a result of the ban on docking this type of vessel by the health alert of the COVID-19.
Cadiz Bay Port Authority
Plaza de España, 17 - 11006 CADIZ - SPAIN
Phone: (+34) 956 240 400 - Fax: (+34) 956 240 476
2022 © Cadiz Bay Port Authority


Brigid and Richard (Sarah Steele and Arian Moayed) share a moment, while Deirdre (Jayne Houdyshell) looks on. On the sofa, "Momo" (Lauren Klein), in the last throes of dementia, sleeps off her medication.
I had bad dreams after returning from Stephen Karam's "The Humans," which has just opened at the Laura Pels Theatre. A concise drama about one family's difficult Thanksgiving dinner—kudos to Roundabout for the opportunistic timing!—I could feel my nerves fraying minutes into the performance.
Cockroaches. Thumping, from zombie-like upstairs neighbors. Groaning trash compactors. These jolts, mere bumps in the night to some, punctuate the dialogue in Karam's despairing story—a plot that even in its sedate moments explores dementia, ulcerative colitis, a crippling affair, body image and poverty.
The two men in Karam's drama—a father who has traveled to New York to celebrate the holiday with his daughter in her Chinatown pre-war dump-plex, and the daughter's older beau, a grad student ticking off the days until he can collect his trust fund—are also plagued by nightmares as "The Humans" unfolds.
Richard (Arian Moayed, a Tony nominee for "Bengal Tiger…"), the boyfriend, tries to intellectualize his way out of fear, explaining it as a matter of perspective. He's obsessed with a comic book, in which half-demon creatures with teeth on their backs tell each other horror stories … about scary humans (ergo, Karam's title).
Meanwhile, father Erik (Reed Birney, the marvelous character actor, recently seen in "House of Cards," etc.), emboldened by liquor, reveals specifics of his sweat-filled nights: They involve a woman, whose eyes and mouth are covered by skin. "The Humans" is not at all cryptic as to why this stand-up fellow, for decades a maintenance worker at a Scranton Catholic school, is such a disheveled mess.
Erik has traveled to the city with his wife (Jayne Houdyshell, in care package-making, full-throttle suburban-mom mode) and older daughter (Cassie Beck), to celebrate the holiday with daughter No. 2 (Sarah Steele, of "The Good Wife"), who is newly co-habitating with Richard.
Erik's ailing mother, "Momo" (Lauren Klein), has also made the trip.
It's four years since "Momo" has recognized her granddaughters, but an unexpected moment before dinner snaps her briefly back to coherence. It brings joy to her son, daughter-in-law and grandchildren, but it's one of only a few things that will go well this evening. Facades are quickly dropped, and miseries laid bare for all to see.
Beck, as an ailing lawyer, was particularly effective in a scene that has her making an unwise phone call to an ex-girlfriend. And amid the escalating stresses of the night, Klein has a guttural outburst that, if you've ever spent time around someone with dementia, will ring horribly and effectively true.
I loved these performances, and the ways the characters were trying to stumble through lives haunted by an array of tribulations. Ditto for the piercing script by Pulitzer Prize-finalist Karam ("Sons of the Prophet"), in spite of a 9/11 storyline that seemed unnecessary.
Gracefully directed by Joe Mantello, "The Humans" takes place in one real-time scene on a two-level, four-room set. To the audience, it looks like a dollhouse, except the joists and plaster walls are exposed, as if they've been cut through with a circular saw.
That rawness extends to the characters on stage, as well. I watched the final scenes peeking through my fingers, as if at a Freddy Krueger movie, and not a meticulously crafted drama about fear and the complicated ways we drop our guard when encircled by family.
"The Humans," through Dec. 27 at the Laura Pels Theatre, 111 W. 46th St. Tickets: $79. Call 212-719-1300.


text:
Five Great Shopping Boutiques Near Boston's Theater District
Feel like a little shopping near the Theater District? Step outside The Kensington and pick a direction: You're situated perfectly between the famed boutiques of Newbury Street, Boylston Street and Beacon Hill. Here are some of our faves.
Bling. From statement stilettos to cowboy boots, Moxie stocks products from the designers you love: Tory Burch, Frye, Kate Spade and dozens more. You'll think you're only window shopping until you spot that Rebecca Minkoff bag or Kimmeron pendant. The store's lush offerings are made that much better by fun, peppy staff who seem genuinely happy to help you. 51 Charles Street. 617-557-9991.
Girly. Cibeline Sariano's elegant stylings flatter your curves, but work for the workplace, too. The best part? Her most popular styles are reversible, so you get two for the price of one. All of her designs are cut and produced in Massachusetts and New York. The store carries a lovely complement of jewelry and handbags, too. 120 Charles Street. 617-742-0244.
Manly. If you're a hunter-gatherer type — or you like pretending to be — Ball and Buck is your go-to place for "hunting-inspired Americana." Cool jeans, supple leather and accessories like high-end lighters and switchblades abound. The place even has an attached barbershop where you can get an old-school shave and a haircut. 144 Newbury Street. 617-262-1776.
Glam. If you're readying for a red-carpet affair, visit Serenella for an eye-popping expedition into the world of European fashion. Sought-after but hard-to-find styles just off the runway, from the designers who make you drool. 134 Newbury Street. 617-262-5568.
Classy consignment. Second Times Around's buyer/owner has an eye for fantastic pieces — along with a wealth of well-to-do consigners who adore the place and bring in their best goods to sell. High-end designers are everywhere you look, and the space is arranged beautifully for a shopping experience that feels much more upscale than resale. 176 Newbury Street. 617-247-3504.
Of course, while downtown Boston has boutiques aplenty for the jet-setters among us, shoppers in search of one-stop-shopping — or a deal — find lots to love at Macy's in nearby Downtown Crossing.


text:
package v1

import (
	metav1 "k8s.io/apimachinery/pkg/apis/meta/v1"
	runtime "k8s.io/apimachinery/pkg/runtime"
)

// +genclient
// +genclient:nonNamespaced
// +k8s:deepcopy-gen:interfaces=k8s.io/apimachinery/pkg/runtime.Object

// ClusterOperator is the Custom Resource object which holds the current state
// of an operator. This object is used by operators to convey their state to
// the rest of the cluster.
type ClusterOperator struct {
	metav1.TypeMeta   `json:",inline"`
	metav1.ObjectMeta `json:"metadata"`

	// spec hold the intent of how this operator should behave.
	Spec ClusterOperatorSpec `json:"spec"`

	// status holds the information about the state of an operator.  It is consistent with status information across
	// the kube ecosystem.
	Status ClusterOperatorStatus `json:"status"`
}

// ClusterOperatorSpec is empty for now, but you could imagine holding information like "pause".
type ClusterOperatorSpec struct {
}

// ClusterOperatorStatus provides information about the status of the operator.
// +k8s:deepcopy-gen=true
type ClusterOperatorStatus struct {
	// conditions describes the state of the operator's reconciliation functionality.
	// +patchMergeKey=type
	// +patchStrategy=merge
	Conditions []ClusterOperatorStatusCondition `json:"conditions"  patchStrategy:"merge" patchMergeKey:"type"`

	// version indicates which version of the operator updated the current
	// status object.
	Version string `json:"version"`

	// extension contains any additional status information specific to the
	// operator which owns this status object.
	Extension runtime.RawExtension `json:"extension,omitempty"`
}

type ConditionStatus string

// These are valid condition statuses. "ConditionTrue" means a resource is in the condition.
// "ConditionFalse" means a resource is not in the condition. "ConditionUnknown" means kubernetes
// can't decide if a resource is in the condition or not. In the future, we could add other
// intermediate conditions, e.g. ConditionDegraded.
const (
	ConditionTrue    ConditionStatus = "True"
	ConditionFalse   ConditionStatus = "False"
	ConditionUnknown ConditionStatus = "Unknown"
)

// ClusterOperatorStatusCondition represents the state of the operator's
// reconciliation functionality.
// +k8s:deepcopy-gen=true
type ClusterOperatorStatusCondition struct {
	// type specifies the state of the operator's reconciliation functionality.
	Type ClusterStatusConditionType `json:"type"`

	// status of the condition, one of True, False, Unknown.
	Status ConditionStatus `json:"status"`

	// lastTransitionTime is the time of the last update to the current status object.
	LastTransitionTime metav1.Time `json:"lastTransitionTime"`

	// reason is the reason for the condition's last transition.  Reasons are CamelCase
	Reason string `json:"reason,omitempty"`

	// message provides additional information about the current condition.
	// This is only to be consumed by humans.
	Message string `json:"message,omitempty"`
}

// ClusterStatusConditionType is the state of the operator's reconciliation functionality.
type ClusterStatusConditionType string

const (
	// OperatorAvailable indicates that the binary maintained by the operator (eg: openshift-apiserver for the
	// openshift-apiserver-operator), is functional and available in the cluster.
	OperatorAvailable ClusterStatusConditionType = "Available"

	// OperatorProgressing indicates that the operator is actively making changes to the binary maintained by the
	// operator (eg: openshift-apiserver for the openshift-apiserver-operator).
	OperatorProgressing ClusterStatusConditionType = "Progressing"

	// OperatorFailing indicates that the operator has encountered an error that is preventing it from working properly.
	// The binary maintained by the operator (eg: openshift-apiserver for the openshift-apiserver-operator) may still be
	// available, but the user intent cannot be fulfilled.
	OperatorFailing ClusterStatusConditionType = "Failing"
)

// ClusterOperatorList is a list of OperatorStatus resources.
// +k8s:deepcopy-gen:interfaces=k8s.io/apimachinery/pkg/runtime.Object
type ClusterOperatorList struct {
	metav1.TypeMeta `json:",inline"`
	metav1.ListMeta `json:"metadata"`

	Items []ClusterOperator `json:"items"`
}