Precise prediction for the Higgs-Boson masses in the $${\varvec{\mu }}{\varvec{\nu }}$$ μν SSM with three right-handed neutrino superfields

Abstract

Abstract The $$\mu \nu \mathrm {SSM}$$ μνSSM is a simple supersymmetric extension of the Standard Model (SM) capable of describing neutrino physics in agreement with experiments. We perform the complete one-loop renormalization of the neutral scalar sector of the $$\mu \nu \mathrm {SSM}$$ μνSSM with three generation of right-handed neutrinos in a mixed on-shell/$$\smash {\overline{\mathrm {DR}}}$$ DR¯ scheme. We calculate the full one-loop corrections to the neutral scalar masses of the $$\mu \nu \mathrm {SSM}$$ μνSSM . The one-loop contributions are supplemented by available MSSM higher-order corrections. We obtain numerical results for a SM-like Higgs-boson mass consistent with experimental bounds, while simultaneously agreeing with neutrino oscillation data. We illustrate the distinct phenomenology of the $$\mu \nu \mathrm {SSM}$$ μνSSM in scenarios in which one or more right-handed sneutrinos are lighter than the SM-like Higgs boson, which might be substantially mixed with them. These scenarios are experimentally accessible, on the one hand, through direct searches of the right-handed sneutrinos decaying into SM particles, and on the other hand, via the measurements of the SM-like Higgs-boson mass and its couplings. In this way the parameter space of the $$\mu \nu \mathrm {SSM}$$ μνSSM can be probed without the need to propose model dependent searches at colliders. Finally, we demonstrate how the $$\mu \nu \mathrm {SSM}$$ μνSSM can simultaneously accommodate two excesses measured at LEP and LHC at $$\sim 96\,\, \mathrm {GeV}$$ ∼96GeV at the $$1\sigma $$ 1σ level, while at the same time reproducing neutrino masses and mixings in agreement with neutrino oscillation measurements.