Leptonic $CP$ Violation and Proton Decay in SUSY SO(10)

TL;DR

This paper explores the link between proton decay rates and leptonic CP violation within a specific SUSY SO(10) GUT model, highlighting testable predictions and the impact of future neutrino experiments.

Contribution

It introduces a unique SUSY SO(10) model with specific Higgs fields that aligns with current proton decay limits and connects leptonic CP violation to proton lifetime predictions.

Findings

Proton lifetime predictions will be tested by upcoming experiments.

Leptonic CP violation detection will constrain the model's parameter space.

Model remains compatible with low-scale SUSY breaking as low as 5 TeV.

Abstract

We study the correlation between proton lifetime and leptonic CP violation in a class of renormalizable supersymmetric SO(10) grand unified theories (GUTs) with {\bf 10}, {\bf 126} and {\bf 120} Higgs fields, which provides a unified description of all fermion masses and possibly resolution of the strong CP problem. This specific model is unique in that it can readily be compatible with current proton lifetime limits for a supersymmetry (SUSY) breaking scale as low as 5 TeV due to the presence of a specific Yukawa texture. Our investigation here reveals that proton partial lifetimes predicted by this class of models will be tested by forthcoming proton decay searches; furthermore, a discovery of leptonic CP violation in neutrino oscillations would also lead to substantial reduction of the parameter space of the model.