# Peccei-Quinn Symmetry and Nucleon Decay in Renormalizable SUSY SO(10)

## TL;DR

This paper explores implementing Peccei-Quinn symmetry in SUSY SO(10) models to address the strong CP problem, achieving gauge unification, suppressing proton decay, and predicting observable rare processes with TeV-scale SUSY.

## Contribution

It introduces a minimal Yukawa sector with PQ symmetry in SUSY SO(10), demonstrating gauge unification, suppressed proton decay, and testable predictions for rare processes.

## Key findings

- Proton decay rate is suppressed by (M_PQ/M_GUT)^2.
- Gauge coupling unification is achievable with a second Higgs doublet.
- Predicted rare processes are within reach of upcoming experiments.

## Abstract

We suggest simple ways of implementing Peccei-Quinn (PQ) symmetry to solve the strong CP problem in renormalizable SUSY $SO(10)$ models with a minimal Yukawa sector. Realistic fermion mass generation requires that a second pair of Higgs doublets survive down to the PQ scale. We show how unification of gauge couplings can be achieved in this context. Higgsino mediated proton decay rate is strongly suppressed by a factor of $(M_{\rm PQ}/M_{\rm GUT})^2$, which enables all SUSY particles to have masses of order TeV. With TeV scale SUSY spectrum, $p \rightarrow \overline{\nu} K^+$ decay rate is expected to be in the observable range. Lepton flavor violating processes $\mu \rightarrow e\gamma$ decay and $\mu-e$ conversion in nuclei, induced by the Dirac neutrino Yukawa couplings, are found to be within reach of forthcoming experiments.