Precise prediction for the Higgs-Boson Masses in the $\mu \nu$SSM with three right-handed neutrino superfields

Abstract

The $\mu \nu$SSM 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 $\mu \nu$SSM with three generation of right-handed neutrinos in a mixed on-shell/$\overline{\mathrm{DR}}$ scheme. We calculate the full one-loop corrections to the neutral scalar masses of the $\mu \nu$SSM. 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 $\mu \nu$SSM 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 $\mu \nu$SSM can be probed without the need to propose model dependent searches at colliders. Finally, we demonstrate how the $\mu \nu$SSM can simultaneously accommodate two excesses measured at LEP and LHC at $\sim 96$ GeV at the $1\sigma$ level, while at the same time reproducing neutrino masses and mixings in agreement with neutrino oscillation measurements.

arXiv commentReferences added, version published in EPJC, 57 pages, 10 figures. The analysis with only one right-handed neutrino superfield was carried out in arXiv:1712.07475

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