Towards Minimal S4 Lepton Flavor Model

TL;DR

This paper explores minimal lepton flavor models using the S_4 symmetry, aiming to reduce complexity while maintaining predictive power for lepton masses and mixing angles.

Contribution

It introduces simplified S_4-based models with fewer flavons and parameters, achieving realistic predictions for lepton flavor observables.

Findings

Models with two triplet flavons are realistic.

A single triplet flavon model is not viable.

Reduced flavon models can still predict lepton mixing angles.

Abstract

We study lepton flavor models with the $S_4$ flavor symmetry. We construct simple models with smaller numbers of flavon fields and free parameters, such that we have predictions among lepton masses and mixing angles. The model with a $S_4$ triplet flavon is not realistic, but we can construct realistic models with two triplet flavons, or one triplet and one doublet flavons.