Emergence of neutrino mass in the Triplet Next-to-Minimal Supersymmetric Standard Model (TNMSSM)

Abstract

We have considered the Triplet Next-to-Minimal Supersymmetric Standard Model (TNMSSM) in the presence of the bilinear R-parity violating interactions, µ_iL_iH_u. Majorana neutrino mass expression was derived consistent with the MSSM, NMSSM, and TMSSM limits provided that µ_eff ≈ µ. Two mechanisms were found that suppress the Majorana neutrino mass which are the cancellation mechanism that depends on the mass parameters, and the compensation mechanism which relies on the presence of mass and coupling parameters. These mechanisms can explain the smallness of neutrino mass. Trends of TNMSSM mass and coupling parameters with respect to neutrino mass are also obtained and the results can offer a method of constraining parameters in SUSY models.