Spontaneous CP violation in SUSY [formula omitted

Abstract

A scenario is suggested for spontaneous CP violation in non-SUSY and SUSY SO ( 10 ) . The idea is to have a scalar potential which generates spontaneously a phase, at the high scale, in the VEV that gives a mass to the RH neutrinos. As a possible realization the case of the minimal renormalizable SUSY SO ( 10 ) is discussed in detail and one finds that a phase is induced in the CKM matrix. It is also pointed out that, in these models, the scales of Baryogenesis, Seesaw, Spontaneous CP violation and Spontaneous U ( 1 ) PQ breaking are all of the same order of magnitude.