Implications of vacuum stability constraints on the nonminimal supersymmetric standard model with lepton number violation

TL;DR

This paper analyzes how vacuum stability constraints affect the scalar sector of a nonminimal supersymmetric model with lepton number violation, focusing on neutrino masses and potential instabilities.

Contribution

It provides a detailed analysis of the scalar mass spectra and stability conditions in a lepton number violating supersymmetric model, incorporating experimental neutrino constraints.

Findings

Lepton number violation impacts scalar mass spectra.

Vacuum stability constrains model parameters.

Neutrino mass constraints influence the scalar potential.

Abstract

We carry out a detailed analysis of the scalar sector of the nonminimal supersymmetric standard model with lepton number violation, and study the constraints imposed on it by the stability of the electroweak symmetry breaking vacuum. The model contains a trilinear lepton mumber violating term in the superpotential together with the associated \susy breaking interactions which can give rise to neutrino masses. We evaluate the mass matrices for the various boson and fermion modes and then discuss the effect that the lepton number violating interactions have on the mass spectra using a phenomenological precription to implement the experimental constraints on the light neutrinos mass matrix. We also discuss qualitatively the conditions on the lepton number violating parameters set by the unbounded from below directions, and from the absence of the charge and color breaking minima in this model.