Spontaneous CP Violation and Flavor Changing Neutral Currents in Minimal SO(10)

TL;DR

This paper investigates spontaneous CP violation within a minimal SO(10) GUT framework, linking flavor-changing processes and proton decay predictions to the model's scalar sector and vacuum structure.

Contribution

It demonstrates how spontaneous CP violation arises in minimal SO(10) and connects flavor violation and proton decay predictions to the model's scalar sector.

Findings

Spontaneous CP violation occurs via electroweak vacuum expectation values.

The model predicts specific flavor-violating decay ratios.

A light Higgs doublet below 500 GeV is required.

Abstract

We explore spontaneous CP violation (SCPV) in the minimal non-supersymmetric SO(10) grand unified theory (GUT), with a scalar sector comprising a CP-even $45_H$, a $126_H$, and a complex $10_H$. All renormalizable couplings are real due to CP symmetry, and the Kobayashi-Maskawa phase arises solely from complex electroweak vacuum expectation values. The model requires an additional Higgs doublet fine-tuned below 500 GeV and constrains new Yukawa couplings, linking certain flavor-violating (FV) processes. Future proton decay observations may reveal correlated FV decay ratios, offering insights into minimal SO(10).