Renormalization-group-induced neutrino mass in supersymmetry withoutRparity

Citations Over TimeTop 1% of 1997 papers

Abstract

We study supersymmetric models without $R$ parity and with universal soft supersymmetry-breaking terms. We show that as a result of the renormalization group flow of the parameters, a misalignment between the directions in field space of the down-type Higgs vacuum expectation value ${v}_{d}$ and of the $\ensuremath{\mu}$ term is always generated. This misalignment induces a mixing between the neutrinos and the neutralinos, resulting in one massive neutrino. By means of a simple approximate analytical expression, we study the dependence on the different parameters that contribute to the misalignment and to ${m}_{\ensuremath{\nu}}.$ In large part of the parameter space this effect dominates over the standard one-loop contributions to ${m}_{\ensuremath{\nu}};$ we estimate 1 MeV $\ensuremath{\lesssim}{m}_{\ensuremath{\nu}}\ensuremath{\lesssim}$ 1 GeV. Laboratory, cosmological, and astrophysical constraints imply ${m}_{\ensuremath{\nu}}\ensuremath{\lesssim}100$ eV. To be phenomenologically viable, these models must be supplemented with some additional mechanism to ensure approximate alignment and to suppress ${m}_{\ensuremath{\nu}}.$

Related Papers

• → Solution to the StrongCPProblem: Supersymmetry with Parity(1996)101 cited
• → A review of searches for R-parity-violating SUSY(2003)2 cited
• → Constraining parameter space in type-II two-Higgs doublet model in light of a 126 GeV Higgs boson(2012)6 cited
• → Thinking outside the beamspot: Other SUSY searches at the LHC (long-lived particles and R-parity violation)(2015)1 cited
• → Extracting SUSY parameters from the Higgs boson properties(2001)