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arXiv · 1712.07475

Precise prediction for the Higgs-Boson Masses in the $μν$SSM

T. Biekötter·S. Heinemeyer·C. Muñoz
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Abstract

The $μν$SSM is a simple supersymmetric extension of the Standard Model (SM) capable of predicting neutrino physics in agreement with experiment. In this paper we perform the complete one-loop renormalization of the neutral scalar sector of the $μν$SSM with one generation of right-handed neutrinos in a mixed on-shell/$\overline{\mathrm{DR}}$ scheme. The renormalization procedure is discussed in detail, emphasizing conceptual differences to the minimal (MSSM) and next-to-minimal (NMSSM) supersymmetric standard model regarding the field renormalization and the treatment of non-flavor-diagonal soft mass parameters, which have their origin in the breaking of $R$-parity in the $μν$SSM. We calculate the full one-loop corrections to the neutral scalar masses of the $μν$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. We compare our results to predictions in the NMSSM to obtain a measure for the significance of genuine $μν$SSM-like contributions. We only find minor corrections due to the smallness of the neutrino Yukawa couplings, indicating that the Higgs boson mass calculations in the $μν$SSM are at the same level of accuracy as in the NMSSM. Finally we show that the $μν$SSM can accomodate a Higgs boson that could explain an excess of $γγ$ events at $\sim 96\, \mathrm{GeV}$ as reported by CMS, as well as the $2\,σ$ excess of $b \bar{b}$ events observed at LEP at a similar mass scale.

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T. Biekötter, S. Heinemeyer, C. Muñoz. 2018-06-20. Precise prediction for the Higgs-Boson Masses in the $μν$SSM. https://doi.org/10.1140/epjc%2Fs10052-018-5978-7

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