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R-parity violation modifies the phenomenology of supersymmetric modelsconsiderably. We study a version of NMSSM, which contains right-handedneutrinos and in which spontaneous R-parity violation is possible. We study theensuing effects of spontaneous breaking to the Higgs decay modes, taking intoaccount the measured mass of the Higgs boson and experimental constraints,including rare decays. We find that a possible light scalar, dominantly asneutrino, helps to increase the Standard Model (SM) Higgs-like scalar mass tothe measured value. At the same time, a lighter stop than in the MSSM isallowed. The Higgs decay rates in the studied model can somewhat differ fromthe SM expectations, although the most prominent difference is a universalsuppression in the couplings due to the mixing of doublet scalars withsinglets. The charged, pseudoscalar, and other than the two lightest scalarHiggses are typically heavier than 1 TeV in the parameter region where R-parityis spontaneously broken.

Higgs sector in NMSSM with right-handed neutrinos and spontaneous R-parity violation