Analysis of the parameter space and spectrum of the μνSSM

Abstract

Abstract:The µνSSM is a supersymmetric standard model that solves the µ problem of the MSSM using the R-parity breaking couplings between the right-handed neutrino superfields and the Higgses in the superpotential, λ iν c iĤ dĤu . The µ term is generated spontaneously through sneutrino vacuum expectation values, µ = λ i ν c i , once the electroweak symmetry is broken. In addition, the couplings κ ijkν c iν c jν c k 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 µνSSM. 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.

Probing theμ-from-νsupersymmetric standard model with displaced multileptons from the decay of a Higgs boson at the LHC

“…Thus all known particle physics phenomenology can be reproduced in the SSM with only one scale. Once the EW symmetry is spontaneously broken, the neutral scalars develop, in general, the following vacuum expectation values (VEVs): rise to a TeV-scale seesaw with Y $ 10 À6 (like Y e ) and, together with R p violation (6 R p ), are instrumental in reproducing the measured neutrino mass squared differences and mixing angles [2,[6][7][8] at the tree level. This feature is unlike the bilinear 6 R p model [9] where only one mass is generated at the tree level and loop corrections are necessary to generate at least a second mass and a neutrino mixing matrix compatible with experiments.…”

“…Analyses of the SSM, with attention to the neutrino and LHC phenomenology, have also been addressed in [2,7,8,[11][12][13][14]. Other analyses concerning cosmology such as gravitino dark matter and electroweak baryogenesis can be found in [15,16], respectively.…”

“…The SSM [1,2] contains, in the superpotential W, in addition to the Yukawa couplings for quarks and charged leptons of the minimal supersymmetric standard model (MSSM) [3], Yukawas for neutrinos and two additional types of terms involving the Higgs doublet superfields, H u andĤ d , and the three right-handed neutrino superfieldŝ …”

“…[2], we eliminate eight soft masses in favor of the corresponding VEVs. We choose c i ¼ 780 GeV, tan…”

Models of Supersymmetry for Dark Matter

“…Finally, in Section 4 we will argue that models with R p / are viable, solving also the μ problem. In particular, the 'μ from ν' Supersymmetric Standard Model (μνSSM [4,5], see Refs. [6,7] for reviews), solves the μ-problem through the presence of right-handed neutrino superfields, while simultaneously explains the origin of neutrino masses, i.e.…”