Constraints from Unrealistic Vacua in Supersymmetric Standard Model with Neutrino Mass Operators

TL;DR

This paper investigates the scalar potential of the MSSM with neutrino mass operators, deriving conditions to prevent unrealistic vacua that could destabilize the model, thus enhancing its predictive power.

Contribution

It provides new necessary conditions to avoid deeper unphysical vacua in MSSM with neutrino operators, improving constraints over previous MSSM analyses.

Findings

Stronger constraints on scalar potential from neutrino operators

Conditions to prevent unphysical vacua are derived

Enhanced predictive power for supersymmetric models with neutrino mass operators

Abstract

We analyze a scalar potential of the minimal supersymmetric standard model (MSSM) with neutrino mass operators along Unbounded-From-Below (UFB) and Color and/or Charged Breaking (CCB) directions. We show necessary conditions to avoid the potential minima which can be deeper than the realistic vacuum. These conditions would constrain more strongly than conditions in the MSSM without taking into account neutrino mass operators, and can improve the predictive power of supersymmetric models with neutrino mass operators.