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 $\mathcal{O}(20-30\%)$ may be expected in the Higgs signal strength observables in some channels, e.g., in $pp\to h\to {\mu }^{+}{\mu }^{-}$, ${\tau }^{+}{\tau }^{-}$. Moreover, we find that new and detectable signals associated with BRPV Higgs decays to gauginos, $h\to {\nu }_{\tau }{\tilde{\chi }}_2^0$ and $h\to {\tau }^{\pm }{\chi }_2^{\mp }$, may also arise in this scenario. These decays yield a typical signature of $h\to {\tau }^{\pm }{\ell }^{\mp }+{\cancel{E}}_T$ ($\ell =e$, $\mu$, $\tau$) that can be much larger than in the SM, and may also be accompanied by an $\mathcal{O}(20-30\%)$ enhancement in the diphoton 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 $\mathcal{O}(100\%)$ are expected in e.g., $pp\to h\to {\mu }^{+}{\mu }^{-}$, ${\tau }^{+}{\tau }^{-}$, which are sensitive to the $\mathrm{BRPV}\times \mathrm{TRPV}$ coupling product.

• Received 2 October 2019

DOI:https://doi.org/10.1103/PhysRevD.100.115051

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Published by the American Physical Society