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

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.

Comments: 12 pages, 8 figures. references added, typos corrected