Constraints from Color and/or Charge Breaking Minima in the $\nu$SSM

TL;DR

This paper investigates the scalar potential of a supersymmetric model with right-handed neutrinos, deriving conditions to prevent dangerous charge and color breaking vacua that threaten electroweak stability.

Contribution

It provides a detailed analysis of CCB and UFB constraints in the $ u$SSM, establishing necessary conditions to ensure a stable electroweak vacuum.

Findings

Derived necessary conditions for avoiding CCB and UFB directions.

Identified scalar potential terms responsible for vacuum instability.

Provided guidelines for model parameter choices to maintain stability.

Abstract

We consider a model where right-handed neutrinos and sneutrinos are introduced to the minimal supersymmetric standard model. In the scalar potential of this model, there exist trilinear and quartic terms in scalar potential that are proportional to Yukawa couplings of neutrinos. Due to these trilinear and quartic terms, Color and/or Charge Breaking (CCB) and Unbounded-From-Below (UFB) directions appear along which sneutrinos have a vacuum expectation value, making the vacuum of the electroweak symmetry breaking unstable. We analyze scalar potential of this model and derive necessary conditions for CCB and UFB directions to vanish.