text:
\section{Impact of the common SUSY masses}
\label{SUSYmasses}

The broad $\chi^2$ distribution shown in Fig. \ref{f3} results from the SM Higgs mass constraint of 125 GeV.
A smaller Higgs mass requires smaller radiative stop corrections leading to more freedom in the choice of the NMSSM parameters and hence to a broader $\chi^2$ distribution for the same common SUSY masses $m_0,m_{1/2}$.
The same effect is observed if smaller values of the SM Higgs mass are considered for small common SUSY masses. In this case a larger region of the NMSSM parameter space is compatible with the Higgs boson mass leading to a broader $\chi^2$ distribution. This is shown in Fig. \ref{f6} for 123-125 GeV. The Higgs mass combination was chosen to be: $m_{H1}=90$ GeV, $m_{H3}=1000$ GeV, $m_{A1}=200$ GeV, while $m_0=m_{1/2}=$ 0.7 TeV.

\begin{figure}
\begin{center}
\hspace{-1cm}
\includegraphics[width=0.5\textwidth]{f6.pdf}
\caption[]{ $\chi^2$ distribution for $m_{H1}=90$ GeV,$m_{H3}=1000$ GeV,$m_{A1}=200$ GeV and $m_0=m_{1/2}=$ 0.7 TeV. If hypothetically smaller values of the Higgs mass are considered, the $\chi^2$ distribution shifts and gets broader because the NMSSM parameters need not to be so finely tuned anymore to reach the 125 GeV.
}
\label{f6}
\end{center}
\end{figure}

\section{Correlation matrix example}
\label{matrix}

Example of a Minuit output of the correlation coefficients for the global minimum for the Higgs mass combination  $m_{H1}=90$ GeV, $m_{H3}=1000$ GeV, $m_{A1}=200$ GeV and $m_0=m_{1/2}=$ 1 TeV. The highest correlation of 0.755 is observed for the parameters $\kappa$ and $\mu_{eff}$, but this is still far from degeneracy, so the fit finds well defined minima for all parameters, as demonstrated in Fig. \ref{f3}. Note that these are the correlations between the parameter values of a single fit leading to single values of the parameters. If summed over all fits the fitted parameters vary in a correlated way, as shown  exemplary in Fig. \ref{f4}.\vspace*{5mm}

$ \bordermatrix{~ & \tan\beta & A_0 & A_\kappa & A_\lambda & \lambda & \kappa & \mu_{eff} \cr
                   \tan\beta & 1.000 & -0.350 & 0.197 & -0.182 & -0.396 & 0.528 & -0.685 \cr
                   A_0 & -0.350 & 1.000 & -0.157 & 0.680 & -0.312 & -0.186 & 0.135 \cr
                   A_\kappa & 0.197 & -0.157 & 1.000 & 0.345 & 0.218 & 0.306 & -0.225 \cr
                   A_\lambda & -0.182 & 0.680 & 0.345 & 1.000 & -0.218 & -0.374 & 0.273 \cr
                   \lambda & -0.396 & -0.312 & 0.218 & -0.218 & 1.000 & -0.406 & 0.385 \cr
                   \kappa & 0.528 & -0.186 & 0.306 & -0.374 & -0.406 & 1.000 & -0.755 \cr
                  \mu_{eff} & -0.685 & 0.135 & -0.225 & 0.273 & 0.385 & -0.755 & 1.000 \cr}$

\section{Running of the trilinear couplings}
\label{running}

The GUT scale values of the trilinear couplings $A_{\lambda}$ and $A_{\kappa}$ have a large allowed range, as shown in Fig. \ref{f4} in the text.  However, the values at the SUSY scale have only small variations, corresponding to the so-called fixed-point solutions from the RGEs, as shown  for two mass combinations on the  two left panels of Fig. \ref{f7}. From a comparison of the two left panels one observes that the fixed-point is different for different Higgs mass combinations, so the SUSY scale values still show  variation, if summed over all mass combinations,  as shown on the right panel of Fig. \ref{f7}.

\begin{figure}
\begin{center}
\includegraphics[width=0.3\textwidth]{f7a.pdf}
\includegraphics[width=0.3\textwidth]{f7b.pdf}
\includegraphics[width=0.3\textwidth]{f7c.pdf}
\caption[]{ The left two panels show the running of the trilinear couplings $A_{\lambda}$ (blue region) and $A_{\kappa}$ (green region) from the GUT to the SUSY scale for two different Higgs mass combinatons.  One observes a fixed-point solution, i.e. the low energy values are largely independent of the choice of the GUT scale value. By a comparison of the fixed-point solutions in the left and middle panel one observes that the fixed-point solutions are different, i.e. they depend on the chosen mass combination.
If summed over all mass combinations the spread in the SUSY scale values (the fixed-point solutions) is still not so small, as shown in the panel on the right.
}
\label{f7}
\end{center}
\end{figure}
\begin{figure}[]
\vspace{-0.7cm}
\begin{center}
\begin{minipage}{\textwidth}
\begin{tabular}{cccc}
& \small{\boldmath$m_0=m_{1/2}=1.0$ \textbf{TeV}} &\small{\boldmath$m_0=m_{1/2}=1.5$ \textbf{TeV}} & \small{\boldmath$m_0=m_{1/2}=2.0$ \textbf{TeV}} \\
&  \multirow{7}{*}{\includegraphics[width=0.3\textwidth]{f8a.pdf}}
& \multirow{7}{*}{\includegraphics[width=0.3\textwidth]{f8b.pdf}}
& \multirow{7}{*}{\includegraphics[width=0.3\textwidth]{f8c.pdf}} \\[10mm]
 & &  & \\
 \small{\boldmath$\mu_{\tau\tau}$} & & & \\
 & &  & \\
&  &  & \\
 & &  & \\
& &  & \\
&   \multirow{7}{*}{\includegraphics[width=0.3\textwidth]{f8d.pdf}}
& \multirow{7}{*}{\includegraphics[width=0.3\textwidth]{f8e.pdf}}
&  \multirow{7}{*}{\includegraphics[width=0.3\textwidth]{f8f.pdf}} \\[10mm]
 & &  & \\
 \small{\boldmath$\mu_{bb}$} & & & \\
 & &  & \\
 & &  & \\
& &  & \\
&  &  & \\
&   \multirow{7}{*}{\includegraphics[width=0.3\textwidth]{f8g.pdf}}
& \multirow{7}{*}{\includegraphics[width=0.3\textwidth]{f8h.pdf}}
&  \multirow{7}{*}{\includegraphics[width=0.3\textwidth]{f8i.pdf}} \\[10mm]
 & &  & \\
 \small{\boldmath$\mu_{W/Z}$} & & & \\
 & &  & \\
 & &  & \\
& &  & \\
&  &  & \\
& \multirow{7}{*}{\includegraphics[width=0.3\textwidth]{f8j.pdf}}
& \multirow{7}{*}{\includegraphics[width=0.3\textwidth]{f8k.pdf}}
&\multirow{7}{*}{\includegraphics[width=0.3\textwidth]{f8l.pdf}}\\[10mm]
 & &  & \\
 \small{\boldmath$\mu_{\gamma\gamma}$} & & & \\
 & &  & \\
 & &  & \\
& &  & \\
&  &  & \\
\end{tabular}
\end{minipage}
\caption[]{
Allowed range for all eight signal strengths from Eq. \ref{coupling5} for $m_0=m_{1/2}=1, 1.5, 2$ TeV, respectively (from left to right).
The axes labeled in green correspond to signal strengths without loops   and are always close to the SM-expectation of 1, while the axes labeled in red correspond to signal strengths with loops, which can deviate from 1, especially for low stop mass (left column) implying large SUSY contributions.
}
\label{f8}
\end{center}
\end{figure}
\section{Signal strengths versus SUSY masses}
\label{signalstrengths}
The results for the signal strengths from the Higgs mass sampling is shown in Fig. \ref{f8} by the  blue dots  for $m_0,m_{1/2}$ increasing from 1 to 2 TeV from left to right. The no-loop(loop) signal strengths are indicated by the green(red) colors on the axes. The fitted no-loop signal strengths are close to 1, but the signal strengths including loops differ from 1. One observes deviations of $\mu_{loop}$ up to 70\%, e.g. for $\mu_{\tau}^{ggf}$ for $m_0=m_{1/2}=1$ TeV in the left panel on the top. The tails of the distributed points represent points in the parameter space with low stop masses, which affect the loop signal strengths strongest. Larger common SUSY masses  $m_0,m_{1/2}$ for the panels in the two right columns lead to heavier stops (see Fig. \ref{f3}) and hence smaller  SUSY  contributions in the loops leading to smaller deviations of the signal strengths.

   \begin{figure}[]
\begin{center}
       \includegraphics[width=0.47\textwidth]{f9a.pdf}
       \includegraphics[width=0.47\textwidth]{f9b.pdf}\vspace*{-3mm}
       \hspace*{0.02\textwidth}(a)\hspace*{0.46\textwidth} (b)\\[-4mm]
       \includegraphics[width=0.47\textwidth]{f9c.pdf}
       \includegraphics[width=0.47\textwidth]{f9d.pdf}\vspace*{-3mm}
        \hspace*{0.02\textwidth}(c)\hspace*{0.46\textwidth} (d)\\[-1mm]
     \caption{
The  total $\chi^2$ function in the  $\lambda-\kappa$ plane,  as shown by the color coding in (a). The two green regions with the smallest  $\chi^2$ values   are called Region I (II) for the region on the right (left). here all constraints are fulfilled. Note that the absolute $\chi^2$ value depends on the choice of the error for the selected  Higgs mass combination, but the minimum of the $\chi^2$ distribution is always in the green regions. Different errors  only change the color coding.   For small values of $\lambda$ and large values of $\kappa$ the constraints are not fulfilled by  the Higgs mass, since the Higgs mass is too low in this region, as shown by the color coding in (b). In addition, the fitted signal strength $\mu_{no-loop}$ deviates from 1 as can be seen from (c), where the averaged difference from the SM value is shown. For intermediate values of $\lambda$ and $\kappa$ the main contribution to the total $\chi^2$ function is coming from the fermion signal strength.
The remaining signal strength $\mu_{loop}$, shown by the averaged difference from the SM value (d), deviates from 1 in almost the whole $\lambda-\kappa$ plane, except for Region I.
}
     \label{f9}
\end{center}
   \end{figure}
\section{Results from the $\lambda-\kappa$ scan}
\label{lambda-kappa-scan}

\begin{table}
\footnotesize
\centering
\caption{ \label{t1}
Differences of the fitting procedures for the standard fit in Sect. \ref{sampling} (left column) and the fit parameters for the $\lambda-\kappa$ scan (right column).
}
\begin{tabular}{l|c|c}
	\hline\noalign{\smallskip}
	Procedure & standard & $\lambda-\kappa$ scan \\
	\noalign{\smallskip}\hline\noalign{\smallskip}
	Input & $A_1,H_{1/2},H_3$ & $\lambda,\kappa$\\
	Constraints & $H_{1/2}=$125 GeV, $\mu_{no-loop}=$1 & $H_{1/2}=$125 GeV, $\mu_{no-loop}=$1\\
	Output &  $\tan\beta,A_0,A_\kappa,A_\lambda,\mu_{eff},\lambda,\kappa$ & $\tan\beta,A_0,A_\kappa,A_\lambda,\mu_{eff}$ \\
	$\chi^2$ contribution & $\chi^2_{H_S},\chi^2_{H_3},\chi^2_{A_1},\chi^2_{H_{SM}},\chi^2_{\mu_{SM}},\chi^2_{LEP},\chi^2_{LHC}$ & $\chi^2_{H_{SM}},\chi^2_{\mu_{SM}},\chi^2_{LEP},\chi^2_{LHC}$ \\
	\noalign{\smallskip}\hline
\end{tabular}
\end{table}

   \begin{figure}[]
\begin{center}
       \includegraphics[width=0.42\textwidth]{f10a.pdf}
       \includegraphics[width=0.42\textwidth]{f10b.pdf}\vspace*{-3mm}
       \hspace*{0.02\textwidth}(a)\hspace*{0.46\textwidth} (b)\\[-4mm]
       \includegraphics[width=0.42\textwidth]{f10c.pdf}
       \includegraphics[width=0.42\textwidth]{f10d.pdf}\vspace*{-3mm}
       \hspace*{0.02\textwidth}(c)\hspace*{0.46\textwidth} (d)\\[-1mm]
     \caption{
As Fig. \ref{f9}, but for $m_0=m_{1/2}=1.5$ TeV.
}
     \label{f10}
\end{center}
   \end{figure}
   \begin{figure}[]
\begin{center}
       \includegraphics[width=0.42\textwidth]{f11a.pdf}
       \includegraphics[width=0.42\textwidth]{f11b.pdf}\vspace*{-3mm}
       \hspace*{0.02\textwidth}(a)\hspace*{0.46\textwidth} (b)\\[-8mm]
       \includegraphics[width=0.42\textwidth]{f11c.pdf}
       \includegraphics[width=0.42\textwidth]{f11d.pdf}\vspace*{-3mm}
       \hspace*{0.02\textwidth}(c)\hspace*{0.46\textwidth} (d)\\[-1mm]
     \caption{
As Fig. \ref{f9}, but for $m_0=m_{1/2}=2$ TeV.
}
     \label{f11}
\end{center}
   \end{figure}

   %

   %
As discussed in Sect. \ref{results} there are two preferred regions in the $\lambda,\kappa$ plane varying in size with the stop mass, as shown in Fig. \ref{f5}. One wonders what happens outside the preferred regions. In order to find out
the standard fit procedure was slightly modified by requiring the NMSSM parameters $\lambda$ and $\kappa$ to be fixed in the fit. This was repeated for all  $\kappa,\lambda$  combinations in the $\lambda$-$\kappa$ plane and check which constraints increase the $\chi^2$ of the fit outside the preferred regions.
Fixing the $\kappa,\lambda$ values in the fit reduces the number of free parameters to only 5, namely $\tan\beta,A_0,A_\kappa,A_\lambda$ and $\mu_{eff}$. The constraints are reduced  too since the free Higgs boson masses $A_1,H_1$ and $H_3$ are allowed to vary to minimize the $\chi^2$ function for a given combination of $\lambda$ and $\kappa$. The differences with the standard fit procedure, as discussed in Sect. \ref{sampling}, have been summarized in Table \ref{t1}.

The two  regions with the smallest  $\chi^2$ values in the $\lambda$-$\kappa$ plane are  the green regions  in Fig. \ref{f9}(a).
The remaining regions - called intermediate regions - have a larger $\chi^2$-value for various reasons: for small values of $\lambda$ and large values of $\kappa$ the Higgs mass of the observed Higgs boson is too low, as can be seen from Fig. \ref{f9}(b), where the color coding corresponds to the Higgs boson mass. The low  Higgs mass  (around 123 GeV) originates from the fact, that the stop corrections are too low for the chosen values of $m_0=m_{1/2}=$ 1 TeV.   In addition, the fitted signal strength $\mu_{no-loop}$ deviates from 1 as can be seen from Fig. \ref{f9}(c), where the color coding corresponds to the averaged difference from the SM value, i.e. $\Delta\mu_{no-loop}=\frac{1}{4}\sum_{i=1}^4 (\mu^i - \mu_{theo})^2/\sigma^2_{\mu}$ with $\mu^i=\mu_{\tau\tau}^{VBF/VH},\mu_{bb}^{ttH},\mu_{bb}^{VBF/VH}$ and $\mu_{ZZ/WW}^{VBF/VH}$.
The averaged difference of the remaining signal strengths $\mu_{loop}$, i.e. $\Delta\mu_{loop}=\frac{1}{4}\sum_{i=1}^4 (\mu^i - \mu_{theo})^2/\sigma^2_{\mu}$ where $\mu_i$ includes $\mu_{\tau\tau}^{ggf},\mu_{ZZ/WW}^{ggf},\mu_{\gamma\gamma}^{VBF/VH}$ and $\mu_{\gamma\gamma}^{ggf}$ is shown in Fig. \ref{f9}(d).
Here, the deviations of the signal strengths $\mu_{loop}$ of the order of a few percent  correspond to the orange region.

If one increases the $m_0=m_{1/2}$ values from 1 TeV in Fig. \ref{f9} to 1.5 (2) TeV in Figs. \ref{f10} (\{ref{f11}) one observes that  the $\chi^2$ values in panels (a) decrease, mainly because of the increased values of the Higgs mass (panels (b)) and the decrease in the deviations of the signal strengths from the SM expectations  (panels (c) and (d)). Note that the absolute values of the test statistic $\chi^2$ are somewhat arbitrary because of the choice of the errors for the assumed Higgs mass values of the 3 chosen Higgs masses on the grid in Fig. \ref{f2}, i.e. $m_{H_1}$, $m_{A_1}$ and $m_{H_3}$. But the regions with minimum  $\chi^2$ values stay the same, as well as the deviations of the signal strengths from the SM expectations.

\section{Introduction}
\label{Introduction}

The next-to-minimal supersymmetric standard model (NMSSM) distinguishes itself from the minimal supersymmetric standard model (MSSM) by a Higgs singlet in addition to the two Higgs doublets of the MSSM. This has  three advantages:

i) The singlet solves the $\mu$ problem bagging the question why the dimension-full Higgs mixing parameter $\mu$ in the Lagrangian, which could take any value up to the GUT scale,  is required by radiative electroweak symmetry breaking to be at the electroweak scale. In the NMSSM  the $\mu$ parameter is related to the vev of the singlet, so it is naturally of the order of the electroweak scale,  see e.g. Refs. \cite{Miller:2003ay,Ellwanger:2009dp};

ii) The Higgs boson mass at tree level has contributions from the mixing with the singlet, so it is not restricted to be below the Z-mass at tree level, as is the case in the MSSM. Therefore, the NMSSM does not need the large loop corrections from stop quarks to bridge the gap between the Z-mass and the observed Higgs boson with a mass of 125 GeV.\cite{Aad:2012tfa,Chatrchyan:2012xdj} Bridging this gap requires multi-TeV stop masses in the MSSM, see e.g. \cite{Beskidt:2012sk,Buchmueller:2013rsa,Fowlie:2012im,Bechtle:2013mda} and references therein. However, in the NMSSM stop quark masses  can be of the order of the TeV scale, see e.g.  Ref. \cite{Beskidt:2013gia}, so the quadratic divergencies to the Higgs mass are effectively canceled by a not-too-large mass difference between top- and stop quark masses, thus avoiding the fine-tuning problem \cite{Haber:1984rc,deBoer:1994dg,Martin:1997ns};

iii) The dark matter candidate in the NMSSM is usually singlino-like with a mass at the electroweak scale, which  fulfills all experimental constraints, especially it has direct scattering cross sections with nuclei not yet excluded by experiments, see e.g. Ref. \cite{Beskidt:2017xsd} and references therein.

The introduction of an additional Higgs singlet  in the NMSSM yields more parameters for the interactions between the singlet and the Higgs doublets and the singlet self interaction. One usually performs random scans of the parameters to investigate experimental signatures in the parameter region allowed by the experimental constraints of the observed 125 GeV Higgs boson and its SM-like couplings and/or constraints from the dark matter sector.\cite{Dermisek:2008uu,King:2012is,Cao:2012fz,Ellwanger:2012ke,Gunion:2012zd,Cao:2013gba,Badziak:2013bda,Barbieri:2013nka,King:2014xwa,Bernon:2014nxa,Guchait:2015owa,Potter:2015wsa,Bandyopadhyay:2015tva,Bomark:2015hia,Cao:2016uwt,
Muhlleitner:2017dkd,Das:2016eob,Mariotti:2017vtv,Baum:2017gbj} In  random scans of highly correlated parameters it is difficult to reach all parameter combinations (''complete coverage''), since  the correlations require simultaneously specific  values of several  parameters.  Such combinations can be found efficiently in random scans only, if a correlation matrix is used to tell in which direction one has to step for parameter n1, if parameters n2 to nx take specific values. Incomplete coverage  can lead to wrong predictions, e.g. of the allowed cross sections for spin-dependent and spin-independent direct dark matter searches \cite{Beskidt:2017xsd}.  To cope with the large NMSSM parameter space of the Higgs sector, and especially the large correlations between these parameters, we describe in this paper in detail a novel sampling technique to obtain the allowed range of the NMSSM parameters for the constraints from the observed Higgs boson mass and its couplings. This method was previously used for the analysis of the heavy Higgs boson \cite{Beskidt:2016egy}, a light singlet-like Higgs boson \cite{Beskidt:2017dil} and dark matter constraints \cite{Beskidt:2017xsd}, but never described in detail.

After a short summary of the Higgs sector in the NMSSM in Sect. \ref{higgs}, we present the novel sampling technique to sample the NMSSM parameter space efficiently in Sect. \ref{sampling}.  In Sect. \ref{results} some applications of the novel sampling technique are presented, like determining the optimal values of the couplings and possible deviations of the signal strenths of the observed 125 GeV Higgs boson from the expected SM-like signal strengths. SM-like signals are only expected  for cross sections without loops, since in the loops of gluon fusion and the Higgs boson decays into photons, SUSY contributions from e.g.  stop loops may contribute. So only the signal strengths from diagrams without loops are required to be SM-like, while the possible deviations from diagrams including loops are studied as function of the stop mass. We restrict the analysis to the well-motivated subspace of the SUSY parameters using the unification of masses and couplings at the GUT scale and allowing for radiative electroweak symmetry breaking. Present limits on the SUSY masses indicate they are rather heavy and for heavy SUSY masses the Higgs and the SUSY sector largely decouple, except for the stop sector, which influences the 125 GeV Higgs mass and the  signal strengths   for loop-induced processes.  The restriction of the SUSY particle masses by GUT scale parameters  does not really restrict the validity of the analysis, since it does not matter if one parametrizes the stop mass with the common mass parameters at the GUT scale or chooses the stop mass directly. However, the GUT scale definition of the parameters has the  advantage that the fixed point solutions of the trilinear couplings are taken into account, thus avoiding values not allowed  by  solutions of the renormalization group equations (RGE), as will be discussed later.

\section{The Higgs sector in the semi-constrained NMSSM}
\label{higgs}

 Within the NMSSM the Higgs fields consist of the usual two Higgs doublets ($H_u, H_d$) with an additional complex Higgs singlet $S$.  The latter singlet distinguishes the NMSSM from the MSSM.
The neutral components of the two Higgs doublets and singlet mix to form three physical CP-even scalar  bosons and two physical CP-odd pseudo-scalar  bosons.

The mass eigenstates of the neutral Higgs bosons are determined by the diagonalization of the mass matrix, see e.g. \cite{Miller:2003ay}, so the scalar Higgs bosons $H_i$ are mixtures of the CP-even weak eigenstates $H_d, H_u$ and the singlet $S$:
\begin{eqnarray}\label{eq1}
H_i=S_{i1}  H_d  + S_{i2}  H_u  + S_{i3}  S,
\end{eqnarray}
where the index $i$ increases with increasing mass of the Higgs boson $H_i$ and  $S_{ij}$ with $i,j=1,2,3$ are the elements of the 3x3  Higgs mixing matrix.

As mentioned before, the analysis is restricted to the well-motivated subspace of the SUSY parameters using the unification of masses and couplings at the GUT scale. In contrast to the constrained MSSM the Higgs mixing parameter $\mu$ is not fixed by radiative electroweak symmetry breaking, but is related to the vev of the Higgs singlet and is considered to be a free parameter $\mu_{eff}$.    In total, this semi-constrained NMSSM has nine free parameters:

\begin{equation}
 {\ifmmode m_0        \else $m_0$\fi},~ {\ifmmode m_{1/2}    \else $m_{1/2}$\fi},~A_0,~ \tan\beta,  ~ \lambda, ~\kappa,  ~A_\lambda, ~A_\kappa, ~\mu_{eff}.
\label{parameter}
\end{equation}

The latter six parameters in Eq. \ref{parameter} enter the Higgs mixing matrix,  thus forming the 6D parameter space of the NMSSM Higgs sector.
Here $\tan\beta$ corresponds to the ratio of the vacuum expectation values (vev's) of the Higgs doublets, i.e. $\tan\beta=v_u/v_d$. The coupling $\lambda$ represents the coupling between the Higgs singlet and doublets, while $\kappa$ corresponds to the self-coupling of the singlet. $A_{\lambda}$ and $A_{\kappa}$ are the corresponding trilinear soft breaking terms. $\mu_{eff}$  is related to the vev of the singlet $s$ via the coupling $\lambda$, i.e. $\mu_{eff}=\lambda\cdot s$. Therefore, $\mu_{eff}$ is naturally of the order of the
electroweak scale, thus avoiding the $\mu$-problem, see e.g. Ref. \cite{Ellwanger:2009dp}.

In addition, we have the GUT scale parameters of the constrained minimal supersymmetric standard model (CMSSM) $m_0$, $m_{1/2}$ and $A_0$, where $m_0$ and $m_{1/2}$ are the common mass scales of the spin 0 and 1/2 SUSY particles at the GUT scale. $A_0$ is the trilinear coupling of the CMSSM  at the GUT scale. The trilinear coupling $A_0$ is highly correlated with $A_{\lambda}$ and $A_{\kappa}$ in the semi-constrained NMSSM, so fixing this parameter would restrict the range of $A_{\lambda}$ and $A_{\kappa}$ severely. Therefore, $A_0$ is allowed to vary, which leads  to 7 free parameters in total and thus a 7D NMSSM parameter space. From the free parameters in Eq. \ref{parameter} the complete SUSY spectrum and all Higgs boson masses can be calculated using the publicly available code NMSSMTools.\cite{Das:2011dg}
The values of $m_0$ and $m_{1/2}$ can be fixed to values, which are consistent with the current LHC limits \cite{Aad:2015iea}. In the following we use $m_0=m_{1/2}=$1 TeV. The impact of higher common SUSY masses will be discussed in Sect. \ref{results}.

One of the lightest NMSSM Higgs bosons should be SM-like. The cross section errors have a significant theoretical error from the  dependence on the renormalization - and factorization scales, see e.g. Ref. \cite{Djouadi:2005gi} and references therein,
which can be reduced by using cross section ratios of the NMSSM and SM cross sections, the so-called reduced cross sections. If multiplied by the branching ratios one obtains the signal strength $\mu_j^i$  defined as:
\begin{align}
\mu_j^i=\frac{\sigma_i \times BR_j}{(\sigma_i \times BR_j)_{SM}}=c_i^2 \cdot \frac{BR_j}{(BR_j)_{SM}},\label{coupling4}
\end{align}
where the  reduced coupling $c_i$ squared equals the reduced cross section for production mode $i$, which is  multiplied by the corresponding ratio of branching ratios for the decay $j$. The reduced couplings $c_i$ depend only on the Higgs mixing matrix elements and $\tan\beta$ for processes without loops. The reduced couplings  {\it including} loops can have additional contributions from SUSY particles in the loops, preferentially from particles with large couplings to the Higgs boson, like the stop particles.  These modify  the reduced couplings of Higgs bosons to gluons $c_{gluon}$ and gammas $c_\gamma$, which are parametrized as effective couplings  within NMSSMTools.

 The diagrams for the used reduced couplings have been summarized  in Fig. \ref{f1}, which shows  from left to right: the effective reduced gluon coupling $c_{gluon}$ for gluon fusion (ggf), $c_{W/Z}$ for vector boson fusion (VBF) and Higgs Strahlung (VH) and $c_u$ for top fusion (tth). We consider in our analysis two different fermionic final states (b-quarks and $\tau$-leptons) and two different bosonic final states ($W/Z$ and $\gamma$)  for  two different production modes (gluon fusion (ggf) and vector boson fusion (VBF)) leading to a total of 8 reduced cross sections (all calculated in NMSSMTools), which can be divided into  signal strengths without (with) effective couplings $\mu_{no-loop}(\mu_{loop})$:

\begin{align}
\mu_{no-loop}&:&\mu_{\tau\tau}^{VBF/VH}&, &\mu_{ZZ/WW}^{VBF/VH}&, &\mu_{bb}^{VBF/VH}&, &\mu_{bb}^{tth},\notag\\
\mu_{loop}&:&\mu_{\tau\tau}^{ggf}&, &\mu_{ZZ/WW}^{ggf}&, &\mu_{\gamma\gamma}^{VBF/VH}&, &\mu_{\gamma\gamma}^{ggf}.\label{coupling5}
\end{align}

The  signal strengths $\mu_{loop}$ include loop diagrams at lowest order, see e.g. the left diagram in Fig. \ref{f1}, so  SUSY particles in the loop can lead  to deviations from the SM prediction. Therefore, it is reasonable to constrain only the signal strengths without loop contributions $\mu_{no-loop}$ to its SM-like expectation, i.e.  $\mu_{no-loop}$=1, while $\mu_{loop}$ is allowed to deviate from 1.  So we impose the following four constraints:  $\mu_{\tau\tau}^{VBF/VH}=1, \mu_{bb}^{VBF/VH}=1, \mu_{ZZ/WW}^{VBF/VH}=1$ and $\mu_{bb}^{tth}=1$.  The signal strengths  $\mu_{loop}$ can be calculated from the fitted NMSSM parameters using the constraint  $\mu_{no-loop}$=1. The fit will be discussed in the next section.

\begin{figure}
\begin{center}
\begin{minipage}{\textwidth}
\begin{tabular}{cccc}
\multirow{7}{*}{\includegraphics[width=0.23\textwidth]{f1a.png}} & \multirow{7}{*}{\includegraphics[width=0.23\textwidth]{f1b.png}} &  \multirow{7}{*}{\includegraphics[width=0.23\textwidth]{f1c.png}} &  \multirow{7}{*}{\includegraphics[width=0.23\textwidth]{f1d.png}} \\
&  &  & \\
&  &  & \\
&  &  & \\
&  &  & \\
 & &  & \\
 & &  & \\
 & &  & \\
 \small{$\sim c_{gluon}^2$} &  \small{$\sim c_{W/Z}^2$}&  \small{$\sim c_{W/Z}^2$}&  \small{$\sim c_{u}^2$}\\
\end{tabular}
\end{minipage}
\caption[]{ Summary for the Higgs production channels at the LHC and the corresponding reduced couplings.  From left to right: the effective reduced gluon coupling $c_{gluon}$ for gluon fusion (ggf), $c_{W/Z}$ for vector boson fusion (VBF) and Higgs Strahlung (VH) and $c_u$ for top fusion (tth).
}
\label{f1}
\end{center}
\end{figure}

\section{Sampling technique}
\label{sampling}

The NMSSM parameters in Eq. \ref{parameter} completely determine the masses of the 6 Higgs bosons: 3 scalar Higgs masses $m_{H_i}$, 2 pseudo-scalar Higgs masses $m_{A_i}$ and the charged Higgs boson mass $m_{H^\pm}$. The masses of $A_2$, $H_3$ and $H^\pm$ are approximately equal in the decoupling limit, i.e.  the mass region with heavy Higgs masses  much larger than the Z-boson mass.\cite{Haber:1995be,Djouadi:2005gj}
Then only one of the heavy Higgs masses is independent which leads in total to a 4D Higgs mass space. Furthermore, one of the masses has to be 125 GeV, so only 3 Higgs masses are free in the decoupling limit, which can be chosen to be: $m_{A_1}$, $m_{H_1}$ and $m_{H_3}$. The Higgs masses can be calculated from the NMSSM parameters in Eq. \ref{parameter}, but vice versa  each combination of the 3 masses $m_{A_1}$, $m_{H_1}$ and $m_{H_3}$ uniquely determines the 7 NMSSM parameters assuming the decoupling limit. The parameters  can be obtained for each combination of Higgs masses in the 3D  space of Higgs masses from a fit to the masses with the NMSSM parameters as free parameters. Such a fit one would perform, if all Higgs boson masses would have been measured and we show later that the fit leads to unique solutions. In the fit we assume either $m_{H_1}$ or $m_{H_2}$ to be 125 GeV, leading to two independent fits for each Higgs mass combination.
 The procedure is illustrated in Fig. \ref{f2}. The fit can be performed for each cell of the 3D Higgs mass space on the left, thus providing for each Higgs mass combination the 7 NMSSM parameters on the right panel of Fig. \ref{f2}.  For each set of these parameters the  Higgs mixing matrix is fully specified and hence the Higgs sector including masses, couplings, branching ratios and cross sections can be calculated from these 7 parameters.

Note that with the low dimensionality of the 3D grid spanning the Higgs mass space one can perform the fit  for each cell in the 3D Higgs mass space, thus providing a complete coverage of the Higgs sector and the corresponding NMSSM parameters without having to resort to a random scan.

\begin{figure}
\begin{center}
\includegraphics[width=0.6\textwidth]{f2.png}\\[2mm]
\caption[]{
Sketch of the sampling technique to determine the allowed NMSSM parameter space:
Perform a Minuit fit on each cell of the 3D Higgs mass space  (left box) to determine the corresponding 7 free NMSSM parameters (right box). The relation between the NMSSM parameters and the Higgs masses is encoded in NMSSMTools. The second-lightest Higgs boson is chosen to be the 125 GeV Higgs, but we repeat the fit in case $m_{H1}$=125 GeV. Then the $m_{H1}$  becomes an $m_{H2}$ axis in the grid on the left.
}
\label{f2}
\end{center}
\end{figure}

As statistic for the fit determining the NMSSM parameters from the Higgs masses we choose the $\chi^2$ function, which  can be minimized  by Minuit.\cite{James:1975dr}  The following contributions are included in the $\chi^2$ function:
\beq\label{eq5}
\chi^2_{tot}=\chi^2_{H_S}+\chi^2_{H_3}+\chi^2_{A_1}+\chi^2_{H_{125}}+\chi^2_{\mu_{125}}+\chi^2_{LEP}+\chi^2_{LHC},
\end{equation}
which are defined as:
\begin{itemize}
\item $\chi^2_{H_S}=(m_{H_S} - m_{grid,H_S})^2/\sigma^2_{H_S}$:
The term $\chi^2_{H_S}$ requires the NMSSM parameters to be adjusted such that the mass of the singlet-like light Higgs boson mass $m_{H_S}$ agrees with the chosen point in the 3D mass space $m_{grid,H_S}$.
The value of $\sigma_{H_S}$ is set to $1\permil$ of $m_{grid,H_S}$.  A small error on the chosen Higgs mass   avoids a smearing in the 3D Higgs mass space and a corresponding smearing by the projection onto the 7D parameter space.
\item $\chi^2_{H_3}=(m_{H_3} - m_{grid,H_3})^2/\sigma^2_{H_3}$: as $\chi^2_{H_S}$, but for the heavy scalar Higgs boson $H_3$.
\item $\chi^2_{A_1}=(m_{A_1} - m_{grid,A_1})^2/\sigma^2_{A_1}$: as $\chi^2_{H_S}$, but for the light pseudo-scalar Higgs boson $A_1$.
\item $\chi^2_{H_{125}}=(m_{H_125} - m_{obs})^2/\sigma^2_{125}$: This term is analogous to the term for $m_{H_S}$, except that the  Higgs  mass $m_{H_125 }$ is required to agree with the observed Higgs boson mass, so $m_{obs}$ is set to $125.2$ GeV. The corresponding uncertainty $\sigma_{125}$ was set to $1\permil$ of $m_{obs}$. Note that the much larger error on the mass of the observed 125 GeV boson is not taken into account, since we want to determine the NMSSM parameters for a precise scan of the Higgs mass parameter space. Once the NMSSM parameters have been determined one can look for the region, where the predicted Higgs mass is within the experimental errors of the observed Higgs mass.
\item $\chi^2_{\mu_{125}}=\sum_i (\mu^i_{H_{125}} - \mu_{theo})^2/\sigma^2_{\mu}$: This term requires the Higgs boson $H_{125}$ to have SM-like couplings for
 the four signal strengths, labeled as $\mu_{no-loop}$ in Eq. \ref{coupling5},  so $\mu_{theo}=1$ and $\sigma_{\mu}$ was chosen to be 0.005.
The remaining 4 reduced cross sections $\mu_{loop}$, which include either gluons and/or gammas, can be calculated from the fitted NMSSM parameters and can deviate from one because of the  SUSY contributions, which depend on the choice of $m_0,m_{1/2}$.
\item $\chi^2_{LEP}$ includes the LEP constraints on the couplings of a light Higgs boson below 115 GeV and the limit on the chargino mass. These constraints include upper limits on the decay of light Higgs bosons into b-quark pairs, which are particular important for the singlet Higgs, if it is the lightest one. The LEP constraints are in principle implemented in NMSSMTools, but small corrections were applied, as discussed in Ref. \cite{Beskidt:2014kon}.
\item $\chi^2_{LHC}$ includes constraints from the LHC, as implemented in NMSSMTools, concerning light scalar and pseudo-scalar Higgs bosons. \cite{Khachatryan:2015nba,Aad:2015oqa,Khachatryan:2015wka}
\end{itemize}
We assume that the constraints on SUSY mass limits from LEP and LHC as well as the Higgs masses are uncorrelated. Note that we either assume the lightest Higgs $H_1$ to be the singlet-like Higgs boson $H_S$ and the second lightest Higgs boson $H_2$ to be the 125 GeV SM Higgs boson $H_{SM}$ or vice versa. In the first case, the singlet-like Higgs boson has a mass below 125 GeV while for the second case the mass is above 125 GeV.
There are also solutions where $m_{H_1}=125$ GeV, $m_{H_2}>125$ GeV and $m_{H_3}$ is singlet-like, but we focus on the scenarios where the heavy Higgs bosons are MSSM-like, which leads naturally to $m_{A_2} \approx m_{H_3}$ and is a reasonable assumption.
We restrict the range of the Higgs masses in the 3D mass space as follows:
\begin{align}
5~\mathrm{GeV} &<  m_{H_S} < 500~\mathrm{GeV},\notag\\
125~\mathrm{GeV} & < m_{H_3} < 2~\mathrm{TeV},\label{range}\\
5~\mathrm{GeV} & < m_{A_1} < 500~\mathrm{GeV}.\notag
\end{align}
Although heavier Higgs boson are not forbidden, they are not relevant for LHC physics, so we did not investigate them here.

\section{Exemplary results}
\label{results}
\begin{figure}[ht]
\vspace{-0.7cm}
\begin{center}
\begin{minipage}{\textwidth}
\begin{tabular}{cccc}
& {\boldmath$\chi^2$} &{\boldmath$\mu$}& { \boldmath$m_{\tilde{t}}$} \\
&   \multirow{7}{*}{\includegraphics[height=0.2\textwidth]{f3a.pdf}}
& \multirow{7}{*}{\includegraphics[height=0.2\textwidth]{f3b.pdf}}
&  \multirow{7}{*}{\includegraphics[height=0.2\textwidth]{f3c.pdf}} \\[10mm]
 & &  & \\
 \small{\boldmath$m_0=m_{1/2}$} & & & \\
\small{\boldmath$=0.7$ \textbf{TeV}} & &  & \\
 & &  & \\
& &  & \\
 & &  & \\
&   \multirow{7}{*}{\includegraphics[height=0.2\textwidth]{f3d.pdf}}
& \multirow{7}{*}{\includegraphics[height=0.2\textwidth]{f3e.pdf}}
&  \multirow{7}{*}{\includegraphics[height=0.2\textwidth]{f3f.pdf}} \\[10mm]
 & &  & \\
 \small{\boldmath$m_0=m_{1/2}$} & & & \\
\small{\boldmath$=1.0$ \textbf{TeV}} & &  & \\
&  &  & \\
 & &  & \\
& &  & \\
&   \multirow{7}{*}{\includegraphics[height=0.2\textwidth]{f3g.pdf}}
& \multirow{7}{*}{\includegraphics[height=0.2\textwidth]{f3h.pdf}}
&  \multirow{7}{*}{\includegraphics[height=0.2\textwidth]{f3i.pdf}} \\[10mm]
 & &  & \\
 \small{\boldmath$m_0=m_{1/2}$} & & & \\
\small{\boldmath$=1.3$ \textbf{TeV}} & &  & \\
 & &  & \\
& &  & \\
&  &  & \\
\end{tabular}
\end{minipage}
\end{center}
\caption[]{
The left side shows the $\chi^2$ distribution as function of $\tan\beta$ for $m_0=m_{1/2}=$ 0.7/1.0/1.3 TeV from top to bottom, respectively. The fits are for an exemplary  Higgs mass combination  of $m_{H1}=90$ GeV, $m_{H3}=1000$ GeV, $m_{A1}=200$ GeV. The main contributions to the $\chi^2$ are coming from the signal strengths, which are shown in the middle panels for $m_0=m_{1/2}=$ 0.7/1.0/1.3 TeV, respectively. The signal strengths including gammas and/or gluons deviate from the SM prediction, since the corresponding reduced couplings, and hence the signal strengths, are sensitive to SUSY contributions. These contributions vary with the mass of the SUSY particles, which vary strongly from top to bottom, as can be seen from the right panels for $m_0=m_{1/2}=$ 0.7/1.0/1.3 TeV.
}
\label{f3}
\end{figure}
The fit  for all Higgs mass combinations in the left box of Fig. \ref{f2} leads to the allowed region of the NMSSM parameters in the right box.
The left side of Fig. \ref{f3}  shows the $\chi^2$ distribution as function of $\tan\beta$ for $m_0=m_{1/2}=$ 0.7/1.0/1.3 TeV from top to bottom, respectively for a given cell  in the left panel of Fig. \ref{f2} (in this case    $m_{H1}=90$ GeV, $m_{H3}=1000$ GeV, $m_{A1}=200$ GeV). The main contribution to the $\chi^2$ is coming from the signal strengths, which are close to the SM expectation of 1 for a large range of $\tan\beta$ for processes without loops, as shown on the middle panels of Fig. \ref{f3}. However, the signal strengths {\it including} loop contributions deviate from 1 because of the  SUSY contributions. The deviations are strongest for light stop masses (top row):  the gluon fusion reduced signal strenths decrease by $\sim 7$\% if the stop mass decreases from 800 to 400 GeV for $\tan\beta$ increasing from 3-6. The signal strength including the decay into gammas increases at the same time by $\sim 2$\%.  The stop masses as function of $\tan\beta$) are shown on the panels on the right for the different choices of  $m_0,m_{1/2}=$.
Larger SUSY masses decrease the contribution from the stop loops, thus reducing the signal strength dependence on $\tan\beta$, as can be seen from the panels in the middle of Fig. \ref{f3}.

    The shift in the minimum of the $\chi^2$ function to higher $\tan\beta$  in the middle and bottom row is  caused by the increase in the stop mass, since  the reduced stop  corrections to the 125 GeV Higgs boson mass can be compensated largely by an increase in $\tan\beta$, although  other parameters  change somewhat as well for the minimum $\chi^2$ value.

Not only a shift but also a broader $\chi^2$ distribution is shown for $m_0,m_{1/2}$ varying from 0.7 to 1.3 TeV. This originates mainly from the 125 GeV mass constraint of the observed boson and can be understood as follows:
 For  the lowest stop mass  ($m_0,m_{1/2}$=0.7 TeV) one has the smallest loop corrections to the 125 GeV Higgs mass and one needs a large mass correction from NMSSM mixing between the singlet and other Higgs bosons, which requires a precise tuning of the NMSSM parameters  to reach the value of 125 GeV. For heavier stop mass the loop corrections to the 125 GeV Higgs boson are larger and the contribution from mixing  with the singlet can be smaller, which leads  to more freedom in the NMSSM parameters and thus a broader $\chi^2$ distribution. We have checked this by imposing a smaller value below 125 GeV for the observed  Higgs boson mass, in which case the freedom in the NMSSM parameters is larger for a given stop mass, thus leading to a broader $\chi^2$ distribution. This is demonstrated in   Appendix \ref{SUSYmasses}, where we used hypothetical values of 123, 124 and 125 GeV for the observed Higgs boson.

\begin{figure}
\begin{center}
\includegraphics[width=0.32\textwidth]{f4a.pdf}
\includegraphics[width=0.32\textwidth]{f4b.pdf}
\caption[]{
Allowed ranges for a few NMSSM parameters in the planes  $\tan\beta-\mu_{eff}$ (left) and  $A_\kappa-A_\lambda$ (right).
}
\label{f4}
\end{center}
\end{figure}

The NMSSM parameters are correlated, but they are not degenerate, as can be observed from the correlations between the parameters  in the Minuit output. The maximum correlation occurs between the parameters $\mu_{eff}$ and $\kappa$, but the correlation is still below 0.76 and other correlations are  smaller, as shown for a given mass combination  in  Appendix   \ref{matrix}. After fitting all cells in the 3D Higgs mass space (left side of Fig. \ref{f2}) one obtains the allowed regions of the parameters, which are shown for a few parameters in the two dimensional plots  in Fig. \ref{f4}.
The parameters $\tan\beta$ and $\mu_{eff}$ show a strong negative correlation, while the trilinear couplings show a strong positive correlation for the GUT scale input parameters.
The values of the trilinear couplings at the SUSY scale are much more restricted than their values at the GUT scale,  because of the fixed point solutions of the RGE for $A_\lambda$ and $A_\kappa$, which means that the SUSY scales are largely independent of the GUT scale values. However, the SUSY scale values depend on the chosen Higgs masses, so the ranges of the SUSY scale values of $A_\lambda$ and $A_\kappa$ are still appreciable, as demonstrated in  Appendix  \ref{running}.

The  allowed range of $\lambda-\kappa$  depends on the choice of $m_0=m_{1/2}=1$, as demonstrated in FIg. \ref{f5}. One can identify two  preferred regions, which can be understood if one considers the approximate expression \cite{Ellwanger:2009dp} for a 125 GeV Higgs:
\beq\label{eq4}
M_{H}^2\approx M_Z^2\cos^2 2\beta+ \Delta_{\tilde{t}} + \lambda^2 v^2 \sin^2 2\beta - \frac{\lambda^2}{\kappa^2}(\lambda-\kappa \sin 2 \beta)^2.
\end{equation}
The first tree level term can become at most $M_Z^2$ for large $\tan\beta$. The diffe\-rence between $M_Z$ and 125 GeV has to originate mainly from the lo\-garithmic stop mass corrections $\Delta_{\tilde{t}}$. The two remaining terms originate from the mixing between the 125 GeV Higgs boson and  the singlet of the NMSSM, which becomes large for large values of the couplings $\lambda$ and $\kappa$ and small $\tan\beta$. Note that these two terms contribute at tree level, so there is no logarithmic dependence, as is the case for the stop loop contribution. The allowed  region with large values of the couplings $\lambda$ and $\kappa$ is called \textit{Region I} in the following.  However, there exists a second solution to Eq. \ref{eq4} with small values of $\lambda,\kappa$ and larger values of $\tan\beta$, which can be obtained by a trade-off between the first two terms and the last two terms, which we call \textit{Region II}. Region II with its small couplings $\lambda$ and $\kappa$ is in some sense closer to the MSSM, although the singlet-like Higgs and its corresponding singlino-like LSP yield additional physics, like the possibility of double Higgs production and an LSP hardly coupling to matter.
If the values of $m_0$ and $m_{1/2}$ are enhanced the SUSY contribution to the tree level Higgs mass becomes larger, so  the contribution from the mixing with the singlet can be smaller. Then there is more freedom for the values of the NMSSM parameters and the regions I and II start to merge, as can be observed from the right panel in  Fig. \ref{f5}.  For larger values of $m_0,m_{1/2}$ the deviations of the signal values from the SM expectation start to decrease as well, as shown in Appendix \ref{signalstrengths}.
\begin{figure}
\begin{center}
\includegraphics[width=0.32\textwidth]{f5a.pdf}
\includegraphics[width=0.32\textwidth]{f5b.pdf}
\includegraphics[width=0.32\textwidth]{f5c.pdf}
\caption[]{
Allowed range for $\lambda-\kappa$ for $m_0=m_{1/2}=1,1.5$ and 2 TeV, respectively (left to right).
}
\label{f5}
\end{center}
\end{figure}

Intermediate values for $\lambda$ and $\kappa$ in Fig. \ref{f5} are disfavored by the fit because of  higher $\chi^2$ values, mainly from the signal strengths. This is discussed in more detail in  Appendix  \ref{lambda-kappa-scan}.

\section{Summary}
In this paper a new technique to sample the NMSSM parameter space is introduced, which allows an efficient sampling with complete coverage. This is obtained by sampling the 3D Higgs mass space instead of  the large 7D NMSSM parameter space.
The reduction in the dimensionality is possible by assuming that the heavy Higgs masses $m_{H_3}$, $m_{A_2}$ and $m_{H^\pm}$ are approximately equal, which is true in the decoupling limit. Furthermore, one of the lighter Higgs bosons has to correspond to the observed 125 GeV Higgs boson. So instead of the 6 Higgs boson masses one has only 3 independent Higgs masses. This 3D mass space can be subdivided  in cells in the $m_{H_3}$, $m_{H_1}$, $m_{A_1}$ mass space, as shown in Fig. \ref{f2} on the left hand side. For each cell the corresponding NMSSM parameters can be determined by a Minuit fit to the Higgs masses with the NMSSM parameters as free parameters, a procedure which one would follow if all Higgs masses would have been measured. Here we assumed that the second lightest boson corresponds to the observed boson, i.e. $m_{H_2}=125$ GeV.  In case  $m_{H_1}=125$ GeV the 3D mass space would be spanned by $m_{H_3}$, $m_{H_2}$ and $m_{A_1}$, an option which was investigated as well.  The reduced 3D dimensionality of the Higgs mass space  allows to perform the fit for each cell, so one does not need a random random sampling of the parameter space.
As discussed in the introduction, a random scan of highly correlated parameters (see  Fig. \ref{f4} for part of the correlations) will need a correlation matrix to efficiently scan the parameter space and guarantee complete coverage.
For example, one can observe from Fig. \ref{f4} immediately, that if $\mu_{eff}$ is scanned up to 1 TeV and $\tan\beta$ up to 60 that  many points for random values of $\mu_{eff}$ and $\tan\beta$ are disfavored by  higher $\chi^2$ values.  In the $\lambda,\kappa$ plane only two regions are preferred: Region I(II) at large(small) values of $\lambda,\kappa$, as shown in Fig. \ref{f5}. Why the $\chi^2$ values increase in the intermediate regions has been discussed in Appendix \ref{lambda-kappa-scan}.
The size of the regions depends on the values of the SUSY parameters, as is obvious from a comparison of the panels in Fig. \ref{f5}. This can be understood as follows:
the 125 GeV Higgs mass has at tree level contributions from the mixing with the singlet Higgs boson (largely determined by the Higgs couplings $\kappa,\lambda$) and the stop loops (largely determined by the stop mass). For light stops the corrections from stop loops are small and the values of $\lambda,\kappa$ have to be precisely tuned to reach the 125 GeV mass.
For larger values of the stop masses one has more freedom in these NMSSM parameters and the allowed regions grow and start to overlap.

In summary, the novel scanning technique allows to study the NMSSM parameter space in a non-random way, which guarantees complete coverage and reveals many interesting features, like the high correlations of the NMSSM parameters and possible deviations of the signal strengths from the SM expectation for processes with SUSY particles contributing in the loops.

\clearpage
\providecommand{\href}[2]{#2}\begingroup\raggedright

redpajama_set_name: RedPajamaArXiv


text:
Mixed emotions as David steps down from Loughgall AFBI after almost 40 years
David Johnston retired recently from AFBI as Grass Breeding Programme Leader after 39 years service. Pictured (L-R) Sinclair Mayne (AFBI CEO), Jim McAdam (Head of Grassland and Plant Sciences Branch), David Johnston and Gillian Young (Grass Breeder, AFBI Loughgall).
There were mixed emotions as David Johnston – grass breeding programme leader at Loughgall – retired from the post after 39 years of service.
The Agri-Food and Biosciences Unit at Loughgall saw staff and present from across its bases – as well as commercial partners – come together to celebrate David's career and wish him well in his retirement.
David has always had a strong interest in grass – his family connections in the grass seed business go back over 100 years.
In 1975 he took a summer job in the grass breeding section at Loughgall and while working there he was encouraged to study for a degree in agriculture at Queen's University.
Over his career he managed the expansion of the AFBI grass breeding service and has been responsible for breeding over 900 grass varieties, with 40 of these making it through to Recommended List status.
AFBI Chief Executive, Dr Sinclair Mayne, speaking at David's retirement, said that despite the relatively small investment in grass breeding in AFBI compared to that of the major rival breeding programmes on these islands, under David's leadership the Loughgall grass breeding programme has "exceeded that of all competitors".
Said Dr Mayne: "AFBI varieties are now bred and tested nationally and internationally with the programme being commercialised through a strong AFBI-Barenbrug partnership, which David was instrumental in maintaining.
"With over 70% of seed mixtures in Northern Ireland containing AFBI varieties, and extensive use across the UK and Republic of Ireland, it is clear that David's work has been highly successful and many livestock producers have benefitted.
"Furthermore, AFBI has had 10 new varieties of perennial ryegrass recommended by NIAB over the past 4 years – higher than any other breeder on these islands."
David also has had many significant awards for his achievements – in 2012 he won the Farming Life Farming Champion Award, he was elected President of the Ulster Grassland Society in 2015 and has been Chairman of the British Society of Plant Breeders on two occasions.
David now hands on this great legacy to Dr Gillian Young, his successor, to continue this work.
But David is more than just a grass breeder. His life revolves around his family, he is actively involved in his local church and worthwhile charities and is a well-respected apple grower in his own right.
The staff and management of AFBI now wish David well for a long and active retirement.
Picture inset: David Johnston retired recently from AFBI as Grass Breeding Programme Leader after 39 years service. Pictured (L-R) Sinclair Mayne (AFBI CEO), Jim McAdam (Head of Grassland and Plant Sciences Branch), David Johnston and Gillian Young (Grass Breeder, AFBI Loughgall).
RelatedAFBILoughgall
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Taxi driver caught driving daughter's car whilst over limit gets 16 month ban

redpajama_set_name: RedPajamaCommonCrawl


text:
using System;
using System.Windows.Forms;
using WMPLib;
namespace DoorBell
{
    class SoundControl
    {
        public event EventHandler<StringValueArg> ringSoundPathChanged;
        public string ringSoundPath
        {
            get;
            set;
        }
        public event EventHandler<StringValueArg> errorSoundPathChanged;
        public string errorSoundPath
        {
            get;
            set;
        }
        private WindowsMediaPlayer player = new WindowsMediaPlayer();

        public enum Sounds
        {
            ring,
            error
        }

        public void PlaySound(Sounds sound)
        {
            if (sound == Sounds.ring)
            {
                player.URL = ringSoundPath;
            }
            else
            {
                player.URL = errorSoundPath;
            }
            player.controls.play();
        }
        public void ChooseRingSound(object sender, EventArgs args)
        {
            ChooseSound(Sounds.ring);
        }
        public void ChooseErrorSound(object sender, EventArgs args)
        {
            ChooseSound(Sounds.error);
        }
        private void ChooseSound(Sounds sound)
        {
            using (var form = new OpenFileDialog())
            {
                form.Multiselect = false;
                form.Filter = "All Files (*.*)|*.*";
                if (form.ShowDialog() == DialogResult.OK)
                {
                    if (sound == Sounds.ring)
                    {
                        ringSoundPath = form.FileName;
                        ringSoundPathChanged.Invoke(this, new StringValueArg(ringSoundPath));
                    }
                    else
                    {
                        errorSoundPath = form.FileName;
                        errorSoundPathChanged.Invoke(this, new StringValueArg(errorSoundPath));
                    }
                }
            }
        }
    }
}

redpajama_set_name: RedPajamaGithub


text:
"""
The 4DOM reader module has routines for deserializing XML and HTML to DOM
WWW: http://4suite.org/4DOM         e-mail: support@4suite.org

Copyright (c) 2000 Fourthought Inc, USA.   All Rights Reserved.
See  http://4suite.org/COPYRIGHT  for license and copyright information
"""

import string, urllib2, urlparse, cStringIO, os
from xml.dom.ext import ReleaseNode

try:
    import codecs
    from types import UnicodeType
    encoder = codecs.lookup("utf-8")[0] # encode,decode,reader,writer
    def StrStream(st):
        if type(st) is UnicodeType:
            st = encoder(st)[0]
        return cStringIO.StringIO(st)
except ImportError:
    StrStream = lambda x: cStringIO.StringIO(x)

class BaseUriResolver:
    def resolve(self, uri, base=''):
        #scheme, netloc, path, params, query, fragment
        scheme = urlparse.urlparse(uri)[0]
        if scheme in ['', 'http', 'ftp', 'file', 'gopher']:
            uri = urlparse.urljoin(base, uri)
        if os.access(uri, os.F_OK):
            #Hack because urllib breaks on Windows paths
            stream = open(uri)
        else:
            stream = urllib2.urlopen(uri)
        return stream

BASIC_RESOLVER = BaseUriResolver()

class Reader:
    def clone(self):
        """Used to create a new copy of this instance"""
        if hasattr(self,'__getinitargs__'):
            return apply(self.__class__,self.__getinitargs__())
        else:
            return self.__class__()

    def fromStream(self, stream, ownerDoc=None):
        """Create a DOM from a stream"""
        raise "NOT OVERIDDEN"

    def fromString(self, str, ownerDoc=None):
        """Create a DOM from a string"""
        stream = StrStream(str)
        try:
            return self.fromStream(stream, ownerDoc)
        finally:
            stream.close()

    def fromUri(self, uri, ownerDoc=None):
        stream = BASIC_RESOLVER.resolve(uri)
        try:
            return self.fromStream(stream, ownerDoc)
        finally:
            stream.close()

    def releaseNode(self, node):
        "Free a DOM tree"
        node and ReleaseNode(node)


This summer, twenty years on, the Nike Air Max 97s came back exclusively at Foot Locker, along with a range of athleisure apparel. Our brief was to drive heat around the launch on social, and put them at the top of our audience's back to school list.
We took inspiration from the shoe's origins. The classic Nike Air Max 97 were way ahead of their time - the fluid lines and silvery tones inspired by Japanese bullet trains. Twenty years later that futuristic vision still stands with the Nike Air Max 97 Ultra.
We identified stars of the future, key Nike influencers and athletes across Europe, to help us drive heat around the launch in the run up to the back to school period.
We combined their social and cultural influence, alongside an epic futuristic campaign based in urban environments across Europe, to remind consumers that the Nike Air Max 97s are back.
#Future Forward is a series of six films that reveal a star of the future, rocking the Nike Air Max 97s, in a city of tomorrow.
The UK campaign film features Manchester United star Marcus Rashford and grime artist, and Drake collaborator, Santan Dave. In Italy, hip hop musician and DJ Sfera Ebbasta, and Juventus star Federico Bernadeschi star. And in France, the campaign features rapper Niska and man of the moment, Monaco soon-to-be Paris Saint-Germain star Kylian Mbappe.
Each shoe drop takes cues from an envisioned near-future metropolis environment. Therefore in our series of six films, produced and directed by MPC Creative, the Future Forward athletes and influencers appear in visionary cityscapes and spaces. A world that feels familiar, but for its augmented reality-inspired visual overlay. Shot on location in Turin, Manchester and London.
The strategy worked. Social influence saw Facebook reach over 6.2 million people with over 3.6 million views.
There were over 1 million completed views on Snapchat, and nearly 2.5 million people saw the videos on Instagram stories via the influencers' profiles.
But most importantly, we drove 450,000 people to shop for the sneaker via the Nike AM97 product page on footlocker.eu.


Hug Smartwatch is the world's first Gesture controlled smartwatch.
Hug is an Indian company which is based out of Hyderabad.
It was started by Raj Neravati who comes from a technology background and has worked in the US for several years.
The innovative smartwatch has certainly hit the Wearable market with a storm and has been a bestseller in the smartwatch segment in India. The company has won few awards from international communities since the time they've launched the company in 2016.
HUG Smartwatch is the world's first and only gesture control Smartwatch that provides a new way of interaction with the digital world.
The watch is one of the lightest smartwatches on the planet and weighs only 46 grams.
It is power packed with functions like Gesture control, Personal Safety (SOS), Fitness Tracking, Nutrition, Calls, Notifications, Remote Capture, Find my Phone and more that makes it a great smartwatch.
Certainly, this is one of a kind smartwatch in India focused on innovation and ease of use for the fitness freaks.
The HUG smartwatch provides 2 unique features that other smartwatches in the market do not have.
With the help of hand gestures – such as Push, Pull, Up, and Down – you can do various things with this smartwatch.
You can play/stop/pause music, increase/decrease the volume of music, play a game using your VR device, do a powerpoint presentation and also fly a drone.
Below is a video that will show you how the gestures work with the HUG smartwatch.
With the push of an SOS button, your loved ones will be notified in case of an emergency like Accident, fall etc.
With your prior permission, Hug smartwatch reflexively reacts to threat situations and sends a distress signal to your closed ones, not to mention nearby emergency services.
You can also set up a hand gesture as the sign of trouble, for situations where your discretion is key.
This gesture-based safety can be turned on/off using the touchscreen on the smartwatch.
Step Count Tracking, distance covered, heart rate monitor, calories burned, Laps etc.
It tracks your food intake and water intake along with different activities performed throughout the day.
Call notifications – You can pair the HUG smartwatch with your smartphone to view your call logs and make/receive calls directly from this smartwatch.
It syncs with various applications such as WhatsApp, MS Outlook, and Facebook. Once synced, you can view messages on your Hug smartwatch.
Location Tracking – You can use the "find my phone" feature to locate your smartphone in case you lose it.
Music Control – You can play music either by touching the screen or by hand gestures.
Alarm – You can set vibration alarm in your smartwatch so that nobody around you gets disturbed.
Taking Pictures / Selfies – You can click photos on your mobile phone by using remote capture feature on the smartwatch.
The battery of HUG smartwatch is one area where it can improve.
While it offers 2-day battery life, other similar devices in the wearable market have an average battery back up of 7-10 days.
HUG needs to improve its battery.
You can easily charge the battery which is at the back side of the watch and it has a magnetic charger.
The company claims that the device is splash proof and not water resistant.
Therefore I would not dare to wear this smartwatch in the shower or swimming pool.
The Hug Smartwatch comes with a Rubber Strap of a decent quality.
You have an option to buy either the black or white color watch. The demand for the black colored watch is more than white and therefore the white colored watch is much cheaper than the black one.
After reading the entire article I am sure you would be able to see many benefits of the HUG smartwatch.
At the price range of approximately 10K INR, the watch gives you a real value for your money.
The only improvement area of the HUG smartwatch I feel is the battery as it only provides two-day battery back-up and therefore you need to charge it every alternate day.
I think HUG innovation is a smart company and they will soon make an improvement in its battery.


LONDON — Shia LaBeouf is at it again.
He spent last year watching all his own movies at a three day marathon and inviting people to touch his soul, so it's only natural he'd want to spend a day in 2016 in an elevator.
LaBeouf began a 24-hour shift in a lift at Oxford Union at 9 a.m. local time Friday, joined by two friends Nastja Rönkkö and Luke Turner. He's calling it an "arts performance" and he expects students who join him in the lift to give a "performance of monologues."
He'll leave the elevator on Friday evening briefly, to give a talk to students, before returning to the space.
The whole thing is being streamed on YouTube.
"Visitors will be able to join LaBeouf, Rönkkö & Turner inside the elevator during this time," Oxford Union says, "and are invited to address the artists, the debating chamber, and the Internet, so that their collective voices may form an extended, expansive and egalitarian Oxford Union address."
When Mashable dipped in, voices were discussing Thanksgiving turkeys and karate before the doors slid open to reveal a bunch of people talking to the actor, who was wearing a red sweater and discussing the plan.
"I know it seems cheesy on paper," LaBeouf said of the idea at one point. "But it's only as difficult as the people who come in."


At present, most existing artificial sand production lines adopt the wet production processess regardless of the type of sand washing machine. The biggest drawback is that the loss of fine sand (particles below 0.16mm) is serious, and some even loss more than 20%, which not only loss production, but also seriously affects the gradation of sand, resulting in unreasonable grading and coarser modulus, which greatly reduces the product quality of mechanical sand-making. Therefore, in order to solve this problem, LZZG design the fine sand recycling machine, and absorbs world-class technology from experienced plant and develops and improves on the basis of the sand washing machine.
The fine sand recycling machine is our flagship product. We have hired domestic professionals to carry out in-depth research on fine sand extractor technology. Combined with the feedback of users, we have made many improvements and technological innovations for the fine sand recovery unit,which has became the best effect of fine sand recovery equipment in China.Our company brings together a large number of management and scientific research elites who are determined to progress and represent the industry's leading level.
This machine has multi-functions, such as high quality output, low water content, considerate economic benefits, environmentle friendly and so on.The fine sand recycling machine enjoys a favorable reputation in the minging field, and many customers are very interested in it, and express the desire to work with us.
Our company has strong technical force and various types of professional and technical talents. It can design and produce fine sand recovery systems that meet the actual conditions of users according to the fine sand loss in different regions of China. We attach great importance to international technology exchanges and cooperation and has introduced international developed countries. Advanced technology, based on the localization of advanced foreign technologies, we have been exploring rationally and innovating continuously to develop fine sand extraction equipment with high technological content.
Well, according to the above introduction, we believe that you have a little knowledge about our company, if you are eagerly to know about our product, contact us, we are within 24 hours!


Chrysler has not called Auburn Hills home for ever. A spring day in Highland Park at the plant.
Spring 1942. "Detroit, Michigan. Girls coming out of the Highland Park Chrysler plant." Photo by Arthur Siegel for the Office of War Information.
This entry was posted in Detroit, Shorpy Saturday and tagged auto, cars, chrysler, detroit, detroit publishing company, highland park, Michigan, shorpy, spring. Bookmark the permalink.


Why is it so important to Manage Fuel Costs?
Fuel generally accounts for around 30% of a fleet's operating costs, but without careful management can lead to significant overspend – by deploying a number of simple, yet highly effective strategies you can greatly reduce your fleet's fuel costs. Read on for some of our fuel saving tips.
TOP TIP: Fuel at supermarket service stations are typically 3-4 pence per litre cheaper than the national average!
"driving style, car maintenance and driving conditions all have an impact on performance. Very few of us manage to hit the official figure and it's why the Energy Saving Trust recommends a 15% adjustment from the official mpg as a realistic target for real world mpg".
If you are based in Birmingham and have a meeting in Manchester on Monday, and a meeting in Liverpool on Tuesday, there are some fundamental questions to be asked from an operational point of view – couldn't one of those appointments been moved due to the geographic locations of Manchester and Liverpool?
Integration into fleet fuel management software, for more sophisticated analysis in a similar manner to fuel cards. For example, you can highlight mileage claims that don't match routes actually taken, thus helping to tackle potential fraud and even manage your driver licence checks.


As we can see from the above, some of the most successful people in our society either failed at school or spent as little time there as possible. Whilst many of us, myself included, cared deeply about what my teachers thought of me and how well I did academically, perhaps what marks out the celebrities above is that they perhaps cared a little less what others thought of them and more about what they wanted personally and where they were going in life.
Is it better to mould ourselves to what the school system tells us we are meant to be and to internalise how others see us or is it better to develop a healthy sense of self-esteem in spite, not because of, what people say about us?
My view is that there is correlation between success in life and healthy self-esteem and that the quicker we learn to build our own sense of self worth, independent of others' views, the more success we create for ourselves.
I'm sure that the celebrities above were far less concerned by their school reports than most of us would have been. Perhaps our teachers need to be mindful that not all their pupils will be so self-assured and that their words have power - and for this reason, they should choose them wisely.


Kwesi Des Vignes, Public Relations Officer, and Wendell Berkley, Vice Chairman, of the Tobago Council of the People's National Movement (PNM) want People's Progressive Patriots (PDP) leader, Watson Duke, and Tobago Forwards leader, Christlyn Moore, to say whether they were supporting the People's Partnership for the 2020 general election.
"Watson and Chrislyn, declare your hand now. Let us know where you stand 'cause I would have heard already Mr Duke call Kamla 'my prime minister in Trinidad' so if that is his prime minister, let the Tobago people know that he is supporting the People's Partnership.
Duke, in response, describing Des Vignes and Berkley as 'misfits,' "belonging to some backwater of the PNM," and who have never contested a seat nor represented anybody, said the PDP was a democratic party operating within its own rules.
He said in the interests of satisfying the concerns of would be members, "we have been having talks with various stakeholders within Tobago, various political organisations within Tobago so as to narrow the gaps that separate us.
"We believe that if we are able to unite with Tobago we can best represent the interest of all Tobagonians. This is something that Tobago has been crying for, demanding, for us to come together to beat…the PNM. Theirlicks is sure," he said.
"We would prefer for them to announce the dates for the THA election or the dates when those two seats, East and West, could actually return to Tobago because they have taken it good citizens, Shamfa Cudjoe and Ayanna Webster Roy and made them into drummer girls, to beat drums…while Tobago is without proper boat, without proper air travel, and certainly the education system is on a down-low.
"It is time to return good governance to Tobago," he added.
Des Vignes also announced at the press conference that Prime Minister Dr Keith Rowley will be in Tobago next week for a PNM Tobago Council community conversation and will be part of the party's 63rd anniversary and Kelvin Charles-adminstration's second anniversary celebrations. Tobago Council Chairman Standford Callender, also speaking at the press conference, said the party stands in readiness to take full control of negative events taking place in the country and preparing for the Local Government elections in Trinidad.
The Tobago Council, he said, was is engaged in some strategic approaches to ensure victory.
Reply to "Duke: Mind your business"


The Emergency Department at King's College Hospital Dubai Hills is open 24-hours.
Our staff are highly trained and there is a pediatric doctor available 24 hours.
The Emergency Department is easily accessible from Al Khail Road on Exit 65 at Al Marabea Street.


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Q: Ember, extending multiple classes Is it possible in Ember to extend multiple classes?
For example:
 App.View1 = Ember.View.extend({ .. });

 App.View2 = Ember.View.extend({ .. });

 App.View3 = //here you want to extend View1 and View2 but without making View2 extending View1 or viceversa...

A: No, you can not extend or inherit from multiple classes. Ember only allows for single class inheritance. You are, instead, encouraged to use Mixins to "compose" your classes. In reality, using Mixins would probably make your application more modular to design and extend. And they are super easy to use in Ember.
You can find references here: http://emberjs.com/api/classes/Ember.Mixin.html
Jeffrey Biles also did a short & sweet screencast on this topic.
There's also a "pro" screencast he did on Mixins should you be interested.

redpajama_set_name: RedPajamaStackExchange


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Clemson Loses ACC Tourney Opener To Virginia
Sports Department
This video is no longer available.
GREENSBORO, N.C. (CU SID) — With two outs, the bases empty, and trailing 2-1 in the eighth inning, #17 Virginia used a single, two hit-by-pitches, and two walks to score two runs in the frame and defeat Clemson 3-2 in the ACC Tournament in front of 3,331 fans at NewBridge Bank Park on Thursday. The Cavaliers, who moved to 1-0 in the ACC Tourney, improved to 37-16-1 on the season. The Tigers, who fell to 0-1 in the ACC Tournament, dropped to 32-25 in 2012. Jon McGibbon's solo homer in the sixth inning tied the score 1-1, then Clemson took advantage of two Virginia miscues in the top of the eighth inning to score another run. But Virginia put together a two-out rally, as five straight Cavaliers reached base with two outs to allow them to score two runs. Kyle Crockett (5-2), the second of three Virginia pitchers, earned the win. He allowed one hit, one unearned run, and no walks with two strikeouts. Justin Thompson pitched 0.2 hitless and scoreless innings to record his 12th save of the season. Starter Branden Kline tossed 7.0 strong innings, as he surrendered only four hits, one run, and five walks with five strikeouts. The four Virginia pitchers combined to allow just two of Clemson's 15 baserunners to score and held the Tigers to 0-for-10 with runners in scoring position. Tiger reliever Mike Kent (1-2) suffered the loss, as he gave up two runs on one hit in 0.2 innings pitched. Daniel Gossett, like Kline, was effective in a starting role. He yielded just four hits, one run, and six walks with six strikeouts in 6.2 innings pitched. The Cavaliers broke through with the game's first run in the third inning. Branden Cogswell was hit-by-pitch with one out. Two batters later with two outs, Derek Fisher walked. Jared King followed with a line-drive single to left field on an 0-2 pitch to score Cogswell. Father's Day Gifts – Shop Now!
Clemson put its first two batters of the fourth inning on base when Jay Baum reached on an error and McGibbon singled. But Spencer Kieboom flied out and Jason Stolz lined into a double play to end the inning. In the fifth inning, Steve Wilkerson led off with a walk and moved to second two batters later on Richie Shaffer's walk. With one out, both runners moved up a base on a wild pitch, but the next two Tigers were retired. Clemson put nine batters on base in the first five innings, but failed to score. McGibbon finally put the Tigers on the scoreboard in the sixth inning when he belted a solo homer to right field, his fourth long ball of the season. In the top of the eighth inning, leadoff batter Brad Felder reached on a passed ball after striking out. Two batters later with one out, Felder stole second. McGibbon followed with a grounder to shortstop Chris Taylor, who booted the ball, allowing Felder to score the go-ahead run. In the bottom of the eighth inning, the first two Cavaliers were retired. However, Brandon Downes lined a two-out single to right field, then Nate Irving was hit-by-pitch. After pinch-hitter Kenny Towns walked on six pitches to load the bases, Taylor was hit-by-pitch to plate pinch-runner Mitchell Shifflett and tie the score. Cogswell then walked on five pitches to score the go-ahead run in Irving. Shaffer walked for the fourth time in the game with one out in the ninth inning, but Phil Pohl grounded into a 6-4-3 double play to end the game. King went 1-for-2 with an RBI and two walks to lead Virginia, who had only five hits, all singles. However, Virginia batters combined for eight walks and three hit-by-pitches. Stephen Bruno added a single to extend his hitting streak to 10 games. All three RBIs for the Cavaliers came with two outs. McGibbon had a game-high two hits, including Clemson's only RBI on his solo homer. The Tigers stranded 11 runners on base. Clemson will take on top-ranked and #1-seeded Florida State on Friday at 3:00 PM in the ACC Tournament. The Tigers' only path to the ACC Tournament Championship game is if Clemson wins its final two games and Virginia loses its final two games in Greensboro.
Categories: Clemson, Sports
GALLERY: Snow and ice make their way to the Midlands
Columbia Fire crews put out apartment fire on Windover Road


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Menopur (HPhMG) er et præparat fremstillet af humant menopausalt gonadotropin. HPhMG indeholder hormoner, der er nødvendige for den menneskelige forplantning. Menopur er udviklet, produceret og markedsført af Ferring Pharmaceuticals. Menopur udvindes af urin, højtoprenset ved hjælp af state of the art-teknologi, fra kvinder der har passeret overgangsalderens. Deres urin er meget rig på kønshormoner, især FSH i flere forskellige former, LH og mindre mængder af graviditetshormonet hCG. hCG har samme effekt i æggestokken som det naturligt forekommende LH-hormon, men har en længere virkningstid i kroppen. Man siger, at hCG har LH-effekt. Behandling med HP-hMG giver således både FSH- og LH-effekt i æggestokkene.

Praksis udvalg af American Society for Reproductive Medicine rapporterer:

To uafhængige oversigter over relevante undersøgelser har vist, at IVF-behandling med gonadotropiner indeholdende hMG fører til en signifikant højere fødselsrate i forhold til behandling med rekombinant FSH. Yderligere har en samlet analyse af to store randomiserede kontrollerede forsøg med Menopur vist statistisk signifikant højere sandsynlighed for (antal) kliniske graviditet sammenlignet med rekombinant FSH i IVF cykler.

Referencer

Eksterne links
Læs mere om Menopur på medicin.dk

Lægemidler tilhørende kønsorganer og urinveje

redpajama_set_name: RedPajamaWikipedia


Strong City, Kansas – Come see the night sky at the Tallgrass Prairie National Preserve on Saturday, August 11, 2018 from 7:30 p.m. – 10 p.m. Reservations are not necessary. Bring a lawn chair and flashlight and use insect repellent.
6:30-7:30 p.m. – Program on the introduction to the night sky with two 30-minute repeating presentations using a software program called Stellarium. Program given in the visitor center conference room using a 60-inch screen. Look through telescope using special filters in order to see the sun, while waiting for the shuttle buses.
7:35-8:30 p.m. – Shuttle people to the overlook area. Bring a lawn chair or blanket to spread out on the ground and a flashlight.
8:30-10:00 p.m. - Introduction to the night sky by Emporia State University Planetarium experts. View the night sky through telescopes provided by the university.
10:00 p.m. – Program ends and buses shuttle visitors back to visitor center.
In the event of clouds or rain, the program will be cancelled. Call 620-273-8494 (hit 0) or check our website for cancellation.
The preserve has over 40 miles of hiking trails for you to explore. All trails are open 24/7 for you to enjoy wildlife viewing and the night sky. All preserve buildings, including the visitor center and historic Spring Hill Ranch house and barn are open from 8:30 a.m. to 4:30 p.m. If solitude and history are what you are looking for, Tallgrass Prairie National Preserve has it all. Come "Find Your Park" at the preserve.
Tallgrass Prairie National Preserve invites you to discover the meaning of national parks and how your park inspires you – both in personal connections and memorable experiences. Tallgrass Prairie National Preserve is located two miles north of Strong City on Kansas State Highway 177 (the Flint Hills National Scenic Byway) and is a unique public/private partnership between the National Park Service and The Nature Conservancy. For additional information on Tallgrass Prairie National Preserve, please visit www.nps.gov/tapr, email e-mail us, call the preserve at (620) 273-8494, or visit the preserve's Facebook page at http://www.facebook.com/NPS.TallgrassPrairie. To learn more about The Nature Conservancy in Kansas, visit the Conservancy's website at www.nature.org/Kansas or Facebook page at https://www.facebook.com/TNCKansas .


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Of architectural glory and much more Roman Civilisation
Touriosity Travelmag|September 2020
Ancient Rome grew from a small village on the bank of Italy's Tiber River into an empire that at its peak comprised most of continental Europe, Britain, much of western Asia, northern Africa and the Mediterranean islands. Among the many legacies of Roman dominance are the widespread use of the Romance languages (Italian, French, Spanish, Portuguese and Romanian) all derived from Latin, the modern Western alphabet, the calendar and the emergence of Christianity as a major world religion.
As to how Rome was founded, there is no concrete historical evidence. It is rather shrouded in mystery. However, there are two popular legends. According to the first legend, Rome was founded in 753 BC by Romulus and Remus, the twin sons of Mars, the Roman god of war. The twins were left to drown in a basket on the Tiber River by king Amulius of Alba Longa, from where they were rescued by a female wolf (some accounts also mention her to be a shepherd's wife instead). The she wolf (shepherd's wife) raised the twin boys into mighty warriors and they eventually grew up to defeat the king, and founded their own city on the riverbank in 753 BC. The city was built on seven hills - the Aventine Hill, Capitoline Hill, Viminal Hill, Caelian Hill, Quirinal Hill, Esquiline Hill and Palatine Hill. Following an argument about who would rule the city, Romulus killed his brother Remus, and took the throne as the first king of Rome, and the city was named after him. All the kings after Romulus were elected by the Senate, yet they were referred to as 'rex', meaning 'king' in Latin.
As per the second legend recorded by Greek historian Dionysius of Halicarnassus, Prince Aeneas led a group of Trojans on a sea voyage in quest of a new Troy, since the original was destroyed at the end of the infamous Trojan War. After quite a long time in the stormy sea, they landed on the banks of the Tiber River but the men wanted to take to the sea again. The women however did not want to leave. One of them, called Roma, hatched the plan to burn the ships to prevent the men from leaving. Although angry at first, the men finally realized that this place was ideal for them to settle down. Hence they named it after Roma because of whom they came to settle here.
MORE STORIES FROM TOURIOSITY TRAVELMAGView All
PRISON TOURS as part of Dark Tourism
One of the first signs of the beginning of understanding is the wish to die. This life appears unbearable, another unattainable. One is no longer ashamed of wanting to die; one asks to be moved from the old cell, which one hates, to a new one, which one will only in time come to hate. In this there is also a residue of belief that during the move the master will chance to come along the corridor, look at the prisoner and say: "This man is not to be locked up again, he is to come with me." – Franz Kafka in Blue Octavo Notebooks.
Touriosity Travelmag
CHOEUNG EK Site of a former orchard and mass grave of victims of the Khmer Rouge (killed between 1975 and 1979) near Phnom Penh, Cambodia
7 Indian Prisons One Can Visit As A Tourist
If you are looking for a fun-filled vacation, this is not an article to please you. This is for those who like to experiment with new and unique experiences. Spending time behind bars in a dark prison cell, wearing a jail uniform made of khaki and having the basic jail food there, may be a nightmare for most, but adventure enthusiasts are increasingly being drawn to prison tourism of this kind globally. India too has caught up to the race and today there are a few prisons in India which are tourist attractions for various reasons. While some are famous historically, others have interesting museums and yet others provide pay and stay facilities. One does not really need to commit a crime to experience these prisons nor a bail for release.
Bengal's Biggest Carnival
The Durga Puja is like the Carnival of Bengal. People wait and plan for an entire year for these few days of the festival. But this year's Durga Puja has been different. With almost no pandal hopping, restricted crowding, limited fanfare, this annual festival was celebrated sans the quintessential pomp and gaiety. Nevertheless, the theme of one particular Durga Puja in Kolkata managed to capture the attention of people worldwide with its heartwarming message and decor. Abhirup Ghosh has beautifully captured the unique decor and a close-up shot of the much talked about idol of Goddess Durga as a migrant mother from Barisha Club, Behala and shared his experience of talking with the organisers and designers of the pandal and the artist of the idol. TOURISIOTY hails the creativity and humanitarian approach of this Puja Committee in addressing one of the burning problems of the current times. We are happy to share this exclusive coverage.
Latpanchari A desire to Get lost
Forming part of the Mahananda Wildlife Sanctuary, Latpanchar is a veritable paradise for bird watchers. Located at an altitude of 5000 ft above the sea level on the foothills of the Eastern Himalayas, Latpanchar is a newfound hidden gem of Bengal. This travelogue by Alok Ganguly brings to our readers his experience and is accompanied by beautiful captures. The article also provides detailed information for those who would like to set foot in this place.
How to celebrate Durga pooja as Bengalis do
In this cover story, Abhirup Ghosh has beautifully captured the true spirit of Durga Puja in the state of Bengal both through his pen and the camera. He has perfectly elucidated the key elements of the annual festivities of the Bengali Community and elaborated on the individual rituals during these festival days. From idol-making to idol-immersion, there's every detail in the article.
The cradle of civilisations- Mesopotamia
Mesopotamia, a region in southwest Asia, is often claimed to have hosted the beginning of the human civilisation on earth. The geography and climatic conditions here were conducive to development of the civilisation. Many important inventions were made during this time, including written language, maps, mathematics, the concept of time and things like the brick, plough, wheels, chariots and boats, pottery and textile mills. Accordingly the region is often called the 'Cradle of Civilisations' as a lot of what the human race on the earth has today was born here.
The beginning of the sub-continent INDUS VALLEY CIVILISATION
The ancient Indus Valley Civilization, also often called the Harappan Civilisation, grew up in the fertile flood plains of the Indus River spanning across Pakistan, Afghanistan and India. While Mesopotamian civilisation is generally believed to be the oldest one, new studies reveal that the Indus Valley civilisation pre-dates it, and that it is 7,500 – 8,000 years old to be precise.
Lesser Known PYRAMIDS from the Mayan Civilisation
The Mayan civilisation was a Mesoamerican civilisation that grew up in the tropical lowlands of today's Guatemala and ultimately reached the countries of Belize and parts of Mexico, Honduras and El Salvador. It spread across the timeline of 2000 BC to 900 AD, reaching the peak of its power in the sixth century AD when the Maya population is said to have reached a strength of 20,00,000.
A new boss is in town to take over the forgotten gangster sim genre
MODERN-DAY OLYMPIA ANABOLIC STACK VS. THE '90S
Purists wish to trace modern-day bodybuilding to the sport's roots of the 1960s, but it could easily be argued that modern bodybuilding branched away from classic bodybuilding in the 1990s, deviating to extremes in size and form that bring to mind caricatures or comic book drawings.
Paleoracism
With the nation and much of the western world contending with the fallout of the chronic problem of racism, this is as good a time as any to take a look at the issue within the world of vertebrate paleontology.
Prehistoric Times
Fall 2020 # 135
From Italy to New York
2 flights and 5 angels got me home
RESISTING ROME
How a Celtic tribe fought to defend their Iberian homeland against the emperor's legions
A rebate meant to lift Italy's economy widens a class divide
The pandemic worsened global inequality. Now some measures meant to help are widening the gulf
A Plague is an Apocalypse But It Can Bring a New World
The meaning of this one is in our hands.
Make a Fashion Statement
A designer to the "queens," this do-good brand blends heritage and high fashion.
Upscale Magazine
A lasting gift
As my mare grows old, I've come to appreciate things about her that the passage of time can never really take away.
What's happenning in Italy is a prognosis for the world?
Letter from Rome


Popularity - 12 views, 0.3 views per day, 36 days on eBay. Good amount of views. 0 sold, 12 available.
12 views, 0.3 views per day, 36 days on eBay. Good amount of views. 0 sold, 12 available.
Seller - 155,487+ items sold. 0.7% negative feedback. Great seller with very good positive feedback and over 50 ratings.
155,487+ items sold. 0.7% negative feedback. Great seller with very good positive feedback and over 50 ratings.


Dutailier is a leading North American manufacturer specialized in wood gliders, contemporary upholstered gliders and high-quality children's furniture.
Founded in 1977, the family-owned company continues to be recognized as one of Canada's leaders in the furniture industry. Our various patents are a testament to the ingenuity and know-how of our team, which has been working together for almost 40 years.
Today, more than 4 million wooden gliders have been produced in our two Canadian plants, a success that would not be possible without the contribution of nearly 200 employees.
Thanks to our extensive distribution network, Dutailier furniture can be found in 800 sales outlets throughout North America. In addition to these fruitful partnerships, we have a range of products sold exclusively online to meet the needs of every consumer.
The first time your baby laughs, cries, or gently falls asleep in your arms; all these precious memories take place in your glider. Because each glider is more than just a piece of furniture, we are dedicated to creating durable, comfortable and sophisticated gliders that will serve you and your family during life's memorable moments.
Over time we have truly mastered the art of gliding, and are proud to count ourselves among the artisans of movement. Our innovative design transcends the drawing board and is apparent in all our gliders. We are creators of comfort and attentive to the needs of our clients.
Our furniture, which can be adapted to suit modern realities, demonstrates how attuned we are to our clients' needs. Dutailier is paving the way to innovation and is constantly reinventing furniture as we know it.
Eager to offer durable products of superior quality, Dutailier is the only manufacturer that continues to produce wooden gliders in its own Canadian factories.
We are committed to manufacturing products that protect the environment and the health and safety of your loved ones; this is why all our products are designed to meet the most stringent market requirements.
Our passion for quality furniture is a legacy that began 4 decades ago. This passion is passed on through the generations, in our family and yours. We're proud to help create pleasant, functional and harmonious living spaces that exceed your highest expectations.
We continually strive to offer the best wood gliders on the market. Our working methods combine intelligence, know-how and performance—a formula that allows us to stand out in our industry. Our numerous patented technologies and mechanisms reflect our unrivalled expertise.
Dutailier has been a leader in the furniture industry since the beginning—we're a company you can count on. We guarantee quality: our furniture is designed and manufactured in Canada by a team of skilled artisans and we choose all our raw materials with care.


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Carriera
È stata selezionata dalle Atlanta Dream al secondo giro del Draft WNBA 2019 (23ª scelta assoluta).

Con la  ha disputato i Giochi olimpici di Tokyo 2020 e i Campionati europei del 2021.

Collegamenti esterni

 Scheda su baloncestoenvivo.feb.es
 Scheda su goducks.com


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Q: Spring Session + Redis + JSF I'm currently working on a project where I need to externalize the HTTP Session and other objects (Such as JSF state, Controllers, etc). My Project is in full JEE using JSF on the web tier (plus PrimeFaces and some other libs). Running on Payara Server, using Docker at AWS.
My Controllers are fully Stateful and I need to keep this way. I research about how I can easily externalize the user session without changing much code and I found out about Spring Session. The problem is that I have zero experience with Spring and how to introduce it into my project and all I failed all my attempts so far.
I don't user Maven, and at this point is very unlikely that I can use it, since the project is too big to move, so I have to import all the libs manually. I just want to import the libs (Spring + Spring Session), configure Redis access and change as little code as possible. Can it be that easy?
My question is: what's the best approach to use Spring Session in my situation? Does anyone know a better / easier way to externalize JSF session to Redis?
Thank you.

A: What I would do: I would not try to reinvent the wheel, very probably in your budget there is not enough spare time and money to figure out such a solution.
Why?
You have a big ant based project, spring is maven based, it has a so huge dependency tree that you will not really be able to manage it without maven (I would not like to try to even build a hello world without maven in spring-boot/mvc). Even if you could put somehow them together, I bet that there will be  a lot of classpath problems from jar version differences. You have to pay attention to your used Java version, you have to select the spring version so that your JDK will be supported by Spring.
And there is the technology difference: you will be able probably to call Spring beans from EJB or vice-versa using CDI (at least this has worked in this way on Wildfly), but if you think this over, you would not like to do that. If you have ever worked with Spring, you would know that this, is, khm, not easy.
And last but not least: you would like to replace/implement Payara Session replication using Spring... in order to do that, you have to know very well the Payara internals, the Spring internals and a lot of other stuff to do that.
All-in-all, if I were you, I would implement either the standard session replication, or, what would be even better, stateless backend. You can have more clusters, and in this way you will not replicate your sessions between all nodes.
You should really consider to move towards either maven or gradle, for a long term, it will have almost only benefits. Netbeans supports it well.
The only drawback if you have a lot of custom ant tasks, but there is maven-antrun-plugin, and, if nothing would help on you, it is not that hard to write your own maven plugin.


The MOST popular snorkel dive spot in Egypt.
Near the southern tip of the Sinai Peninsula, the snorkeling off Sharm El Sheikh in the Red Sea is very popular for coral and abundant marine life. You can expect to see triggerfish, lionfish, pufferfish, moray eels, sea turtles and maybe some stingrays.
The snorkeling at Sharm El Sheikh ranges from is from the Straits of Tiran in the north to Ras Mohamed in the south. Some of the more populars snorkeling sites around Sharm El Sheikh are Ras Mohammed, Ras Om El Sid, the Straits of Tiran and wrecks like the Thistlegorm and Dunraven. To reach the snorkeling in the Red Sea by air, the international travelers will need to fly into Cairo. From Cairo, the Egyptian national airline, Egyptair, operates all domestic flights in Egypt and serves 11 major airports: Abu Simbel, Alexandria, Assiut, Aswan, Cairo, Hurghada, Luxor, Marsa Alam, Marsa Matruh, Sharm el-Sheikh, and Taba.
Overall, Sharm El Sheikh is the 1st most popular snorkel dive spot of all 4 snorkeling dives in Egypt.
For snorkeling at Sharm El Sheikh in Egypt, our printable snorkeling dive guides offers dive descriptions, maps, lodging suggestions, driving directions, levels of difficulty and points-of-contact.


As soon as I arrive, Margaret takes me over to a display cabinet in the office. The early generations of Robinsons were very matter of fact and took their business extremely seriously - to the extent that events that weren't connected to the equipping of greenhouses or the growing of onions, leeks or strawberries barely registered. I know I ought to resist the urge but there's something about oversized vegetables that brings out the saucy postcard in me. Instead I ask them the secret of growing a huge onion. And you must put them outside when they're at the right stage of maturity or you'll never get big onions.
This is a good name for a guy, but overused big time. for a girl reads like it would be pronounced Ry-ANN, which would be a horrible name in my opinion.At least this is one of those safe names that you can't really go wrong with. It's funny how just changing the emphasis changes the feeling of the name completely.A Ryan is just another Ryan, most likely not the first anyone's ever met.It's boring, bland, not exactly classic, and best kept as a surname.Including me and we have been rocking the meaning of little king for years.This name can be for both genders, I know a guy named Ryan, and a girl named Ryan. I never would've thought of that, but I guess these days there really is no gender line, and it's a surname, so I guess that should've been a hint that it's also trendy for girls.I spell her name Rianne and pronounce it Ryan, NOT Ree-ann! I love the name Ryan for a boy, but I would never name a girl Ryan.I thought the "i" would be softer and more feminine than a "y" and I thought the "anne" was more feminine than "an". Yes, there are some names out there that are appropriate for a boy and a girl, but this name isn't one of them. I have been doing research for a while on male names and guess what? I don't really like to name myself a popular name but this name is unique(even though many people have it) and has a wonderful meaning, "little king".
I guess it'll age well (but will probably be very dated) but on a girl it'll be a complete and utter joke.
You have to give a girl a strong name, just like you would a boy. There are so many beautiful girl names out there I don't know why people insist on giving their daughters boy names.
A weak name doesn't instill any character in a girl and the damsel-in-distress mentality only works in movies. It means "little king" so it is most certainly a masculine name. I think people should name their children whatever they want. People don't name their children based on the meaning of the name.
Well I think I would probably name my daughter Ryanne for her uncle! The point is, for the love of God, don't call your daughter Ryan. Well I do know a lot of Ryans, both from shows and real life. My cousin's name is Ryan Evans which is funny because he shares the same name as Ryan from "High School Musical". "Rianne" or "Riane" would get a bit confusing after a while. One is an all-star high school basketball player in our town, one is a newborn and the other girl named Ryan is my daughter's friend. I was going to use this name in a story but it just wasn't working anymore. It was my mother's maiden name and I named my now 25yr old daughter Ryan.
If the pronunciation is feminine I don't see why you shouldn't call a girl using a boy's name! She married this summer a wonderful man named Bryan, and his best man was Ryan, the poor lovely priest!


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