$\nu$ masses in a SUSY SO(10) theory with spontaneous CP violation

Abstract

We propose a possibility of spontaneous CP-violation (SCPV) at high scale in a SUSY SO(10) theory. The model is L-R symmetric SUSY SO(10) with \textbf{\noun{10}} and \textbf{126} dimensional Higgs generating fermion masses, and the CP phase is generated through complex VEV of B-L breaking \textbf{126} Higgs . The model can have potential application in explaining $\nu$ masses and leptogenesis as well.