Precise prediction for the Higgs-Boson Masses in the $\mu \nu$SSM

Abstract

The $\mu \nu$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 $\mu \nu$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 $\mu \nu$SSM. 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. We compare our results to predictions in the NMSSM to obtain a measure for the significance of genuine $\mu \nu$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 $\mu \nu$SSM are at the same level of accuracy as in the NMSSM. Finally we show that the $\mu \nu$SSM can accomodate a Higgs boson that could explain an excess of $\gamma \gamma$ events at $\sim 96\mathrm{GeV}$ as reported by CMS, as well as the $2\sigma$ excess of $b\bar{b}$ events observed at LEP at a similar mass scale.

Version published in EPJC. Numerical analysis improved, numerical results for NMSSM comparison changed accordingly, overall conclusions unchanged. 56 pages, 12 figures

References in corpus (16)

• Automatic Calculation of supersymmetric Renormalization Group Equations and Self Energies
• On the radiative corrections to the neutral Higgs boson masses in the NMSSM
• Three-loop corrections to the lightest Higgs scalar boson mass in supersymmetry
• Two-Loop Higgs mass calculations in supersymmetric models beyond the MSSM with SARAH and SPheno
• MSSM Higgs Couplings to Bottom Quarks: Two-Loop Corrections
• Analysis of the parameter space and spectrum of the $\mu \nu$SSM
• LHC phenomenology of the $\mu \nu$SSM
• Momentum-dependent two-loop QCD corrections to the neutral Higgs-boson masses in the MSSM
• Neutrino Physics and Spontaneous CP Violation in the $\mu \nu$SSM
• On the two-loop corrections to the Higgs masses in the NMSSM
• The Light and Heavy Higgs Interpretation of the MSSM
• Two-loop QCD corrections to the MSSM Higgs masses beyond the effective-potential approximation
• Higgs mass prediction in the MSSM at three-loop level in a pure $\overline{\text{DR}}$ context
• Large $h\to bs$ in generic two-Higgs-doublet models
• Probing the $\mu \nu$SSM with light scalars, pseudoscalars and neutralinos from the decay of a SM-like Higgs boson at the LHC
• Search for a lighter Higgs in Two Higgs Doublet Models

Cited by in corpus (40)

• Higgs-mass predictions in the MSSM and beyond
• Pseudo-Goldstone dark matter confronts cosmic ray and collider anomalies
• The 96 GeV Diphoton Excess in the Seesaw Extensions of the Natural NMSSM
• Possible indications for new Higgs bosons in the reach of the LHC: N2HDM and NMSSM interpretations
• The CMS di-photon excess at 95 GeV in view of the LHC Run 2 results
• Unveiling Hidden Physics at the LHC
• The 95.4 GeV di-photon excess at ATLAS and CMS
• Light Higgs bosons in the general NMSSM
• Phenomenology of the inflation-inspired NMSSM at the electroweak scale
• Precise prediction for the Higgs-Boson Masses in the $\mu \nu$SSM with three right-handed neutrino superfields
• The "96 GeV excess" at the LHC
• Scrutinizing the 95-100 GeV di-tau excess in the top associated process
• Multiphoton signals of a (96 GeV?) stealth boson
• A 95 GeV Higgs Boson in the Georgi-Machacek Model
• The new $(g-2{)}_{\mu }$ result and the $\mu \nu$SSM
• MeV-GeV $\gamma$-ray telescopes probing axino LSP/gravitino NLSP as dark matter in the $\mu \nu$SSM
• Searching for Supersymmetry: The $\mu \nu$SSM
• Explanation of the 95 GeV $\gamma \gamma$ and $b\bar{b}$ excesses in the Minimal Left-Right Symmetric Model
• Dark Matter Phenomenology in 2HDMS in light of the 95 GeV excess
• HL-LHC and ILC sensitivities in the hunt for heavy Higgs bosons
• A Light Scalar in the Minimal Dilaton Model in Light of LHC Constraints
• Discussing 125 GeV and 95 GeV excess in Light Radion Model
• Phenomenology of a Supersymmetric Model Inspired by Inflation
• Impact of Higgs physics on the parameter space of the $\mu \nu$SSM
• Sampling the $\mu \nu$SSM for displaced decays of the tau left sneutrino LSP at the LHC
• 95 GeV excess in a $CP$-violating $\mu$-from-$\nu$ SSM
• munuSSM: A python package for the $\mu$-from-$\nu$ Supersymmetric Standard Model
• Interpreting 95 GeV di-photon/$b\bar{b}$ excesses as a lightest Higgs boson of the MRSSM
• Vacuum (meta-)stability in the $\mu \nu$SSM
• Expectation management
• The hidden side of scalar-triplet models with spontaneous CP violation
• Reconciling Higgs physics and pseudo-Nambu-Goldstone dark matter in the S2HDM using a genetic algorithm
• Curing tachyonic tree-level syndrome in NMSSM light-singlet scenarios
• Interpretation of LHC excesses at 95 GeV and 152 GeV in an extended Georgi-Machacek model
• Fighting off field dependence in MSSM Higgs-mass corrections of order ${\alpha }_t{\alpha }_s$ and ${\alpha }_t^2$
• Right-handed neutrinos, domain walls and tadpoles in the superstring inspired $\mu \nu$SSM
• Searching for stop LSP at the LHC
• Search for Dark Matter in 2HDMS at LHC and future Lepton Colliders
• Mounting evidence for a 95 GeV Higgs boson
• Searching for Gluino LSP at the LHC