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

TL;DR

This paper explores a SUSY SO(10) grand unified theory where spontaneous CP violation occurs at high scales, potentially explaining neutrino masses and leptogenesis through complex Higgs VEVs.

Contribution

It introduces a SUSY SO(10) model with spontaneous CP violation via complex VEVs of B-L breaking Higgs, linking high-scale CP violation to neutrino masses and leptogenesis.

Findings

High-scale spontaneous CP violation is feasible in SUSY SO(10) models.

The model naturally generates complex neutrino mass matrices.

Potential implications for leptogenesis mechanisms.

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.