  We study the impact of R-parity violating Supersymmetry (RPV SUSY) on the 125
GeV Higgs production and decay modes at the LHC. We assume a heavy SUSY
spectrum with multi-TeV squarks and SU(2) scalar singlets as well as the
decoupling limit in the SUSY Higgs sector. In this case the lightest CP-even
Higgs is SM-like when R-parity is conserved. In contrast, we show that when
R-parity violating interactions are added to the SUSY framework, significant
deviations may occur in some production and decay channels of the 125 GeV
Higgs-like state. Indeed, we assume a single-flavor (mostly third generation)
Bilinear RPV (BRPV) interactions, which generate Higgs-sneutrino mixing,
lepton-chargino mixing and neutrino-neutralino mixing, and find that notable
deviations of ${\cal O}(20-30\%)$ may be expected in the Higgs signal strength
observables in some channels, e.g., in $p p \to h \to \mu^+ \mu^-, \tau^+
\tau^-$. Moreover, we find that new and detectable signals associated with BRPV
Higgs decays to gauginos, $h\rightarrow\nu_{\tau}\tilde{\chi}_{2}^{0}$ and
$h\rightarrow\tau^{\pm}\chi_{2}^{\mp}$, may also arise in this scenario. These
decays yield a typical signature of $h \to \tau^\pm \ell^\mp + {{\not\!\!
E_T}}$ ($\ell =e,\mu,\tau$) that can be much larger than in the SM, and may
also be accompanied by an ${\cal O}(20-30\%)$ enhancement in the di-photon
signal $pp \to h \to \gamma \gamma$. We also examine potential interesting
signals of Trilinear R-parity violation (TRPV) interactions in the production
and decays of the Higgs-sneutrino BRPV mixed state (assuming it is the 125 GeV
scalar) and show that, in this case also, large deviations up to ${\cal
O}(100\%)$ are expected in e.g., $p p \to h \to \mu^+ \mu^-, \tau^+ \tau^-$,
which are sensitive to the BRPV$\times$TRPV coupling product.

High Energy Physics - Phenomenology