Flavon Stabilization in Models with Discrete Flavor Symmetry

TL;DR

This paper introduces a mechanism to stabilize flavon fields in discrete flavor symmetry models, simplifying field content and addressing the cosmological domain wall problem.

Contribution

It presents a novel stabilization method for flavons using soft mass and non-renormalizable terms, applicable to $A_4$ models, reducing complexity and solving domain wall issues.

Findings

Stabilization achieved via negative soft mass and non-renormalizable terms

Simplified field content in $A_4$ flavor models

Addresses cosmological domain wall problem

Abstract

We propose a simple mechanism for stabilizing flavon fields with aligned vacuum structure in models with discrete flavor symmetry. The basic idea is that flavons are stabilized by the balance between the negative soft mass and non-renormalizable terms in the potential. We explicitly discuss how our mechanism works in $A_4$ flavor model, and show that the field content is significantly simplified. It also works as a natural solution to the cosmological domain wall problem.