Analysis of the parameter space and spectrum of the $\mu \nu$SSM

Abstract

The $\mu \nu$SSM is a supersymmetric standard model that solves the $\mu$ problem of the MSSM using the R-parity breaking couplings between the right-handed neutrino superfields and the Higgses in the superpotential, ${\lambda }_i{\hat{\nu }}_i^c{\hat{H}}_d{\hat{H}}_u$. The $\mu$ term is generated spontaneously through sneutrino vacuum expectation values, $\mu ={\lambda }_i<{\tilde{\nu }}_i^c>$, once the electroweak symmetry is broken. In addition, the couplings ${\kappa }_{ijk}{\hat{\nu }}_i^c{\hat{\nu }}_j^c{\hat{\nu }}_k^c$ forbid a global U(1) symmetry avoiding the existence of a Goldstone boson, and also contribute to spontaneously generate Majorana masses for neutrinos at the electroweak scale. Following this proposal, we have analysed in detail the parameter space of the $\mu \nu$SSM. In particular, we have studied viable regions avoiding false minima and tachyons, as well as fulfilling the Landau pole constraint. We have also computed the associated spectrum, paying special attention to the mass of the lightest Higgs. The presence of right and left-handed sneutrino vacuum expectation values leads to a peculiar structure for the mass matrices. The most important consequence is that neutralinos are mixed with neutrinos, and neutral Higgses with sneutrinos.

Final version accepted in JHEP. 38 pages, 12 figures

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Cited by in corpus (15)

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• Search for 100 MeV to 10 GeV gamma-ray lines in the Fermi-LAT data and implications for gravitino dark matter in the $\mu \nu$SSM
• Novel signatures for vector-like quarks
• R-Parity Violation at the LHC
• Probing the $\mu \nu$SSM with light scalars, pseudoscalars and neutralinos from the decay of a SM-like Higgs boson at the LHC
• Lepton flavor violation in the $\mu \nu$SSM with slepton flavor mixing
• Hunting physics beyond the standard model with unusual $W^{\pm }$ and $Z$ decays
• A possible connection between neutrino mass generation and the lightness of a NMSSM pseudoscalar
• Fake Dark Matter at Colliders
• $\bar{B}\to X_s\gamma$ in the $\mu \nu$SSM
• Neutrino masses and mixing in $\mu \nu$SSM
• The one loop contributions to c(t) electric dipole moment in the CP violating BLMSSM
• An N2HDM Solution for the possible 96 GeV Excess
• Low Scale Leptogenesis from Non-Leptonic CP-Phases