Abstract

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

Highlights

  • The scalar particle at ∼ 125 GeV discovered by the ATLAS [1] and CMS [2] experiments has so far shown to be consistent with the Standard Model (SM) Higgs-boson prediction

  • We showed that the contributions from the (s)top- and the (s)bottom-sector are dominant in the μfrom-ν Supersymmetric Standard Model (μνSSM), proving that the combination of the one-loop result together with the two-loop contributions from FeynHiggs provides a calculation of the SM

  • The μνSSM is a simple SUSY extension of the SM that is capable of describing neutrino physics in agreement with experimental data

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Summary

Introduction

The scalar particle at ∼ 125 GeV discovered by the ATLAS [1] and CMS [2] experiments has so far shown to be consistent with the Standard Model (SM) Higgs-boson prediction. A hybrid Higgs-boson mass calculation combining effective field theory and fixed-order calculations for a generic class of SUSY models is publicly available in the code FlexibleSUSY [98], using the expression for the renormalization group equations and fixed-order self-energies as they are calculated by SARAH. In a previous publication we presented the first calculation of radiative corrections to the neutral scalars in a mixed OS-DR scheme for the μνSSM with only one generation of right-handed neutrinos [99]. We are able to present benchmark scenarios of the μνSSM accurately accommodating a SM-like Higgs boson at ∼ 125 GeV, as well as correct neutrino mass differences and mixing angles.

The model: μνSSM with three generations of right handed neutrinos
C P -odd neutral mass matrices
Hd vd vi L
HuR mνiRR HdR
Z cos2
Squark sector
Charged scalar sector
Charged fermion sector
Neutral fermion sector
Renormalization of the Higgs potential at one-loop
Parameter replacements
Hu and the diagonal elements of the soft slepton mass matrices
Renormalization conditions
OS conditions
DR conditions
Ai are the eigenvalues diagonal
Loop corrected scalar masses
Evaluation at the one-loop level
Inclusion of higher orders
Numerical analysis
Scan over λ
Scan over vR
Conclusion and outlook
B Explicit expressions for counterterms
Field renormalization counterterms
C Standard model values
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