$A_4$ lepton flavor model and modulus stabilization from $S_4$ modular symmetry

TL;DR

This paper explores how to stabilize the modulus in an $A_4$ lepton flavor model derived from $S_4$ modular symmetry, resulting in realistic lepton masses and mixing angles with phenomenological implications.

Contribution

It introduces a method to stabilize the modulus within an $A_4$ flavor model from $S_4$ symmetry, achieving realistic lepton phenomenology.

Findings

Successful modulus stabilization compatible with lepton data

Realistic lepton masses and mixing angles obtained

Phenomenological implications discussed

Abstract

We study the modulus stabilization in an $A_4$ model whose $A_4$ flavor symmetry is originated from the $S_4$ modular symmetry. We can stabilize the modulus so that the $A_4$ invariant superpotential leads to the realistic lepton masses and mixing angles. We also discuss the phenomenological aspect of the present model as a consequence of the modulus stabilization.