# SO(3) family symmetry and axions

## TL;DR

This paper explores an $SO(3)$ flavor symmetry extension of the Standard Model that incorporates right-handed neutrinos and a Peccei-Quinn symmetry, successfully explaining fermion masses, mixings, and addressing the strong CP problem.

## Contribution

It introduces a novel $SO(3)$ gauged flavor symmetry model with Peccei-Quinn symmetry that unifies fermion mass relations and neutrino properties.

## Key findings

- Achieves realistic fermion mass and mixing patterns
- Provides a successful relation among fermion masses and mixings
- Addresses the strong CP problem via Peccei-Quinn symmetry

## Abstract

Motivated by the idea of Comprehensive Unification, we consider a gauged $SO(3)$ flavor extension of the Standard Model, including right-handed neutrinos and a Peccei-Quinn symmetry. The model accommodates the observed fermion masses and mixings and yields a characteristic, successful relation among them. The Peccei-Quinn symmetry is an essential ingredient.