Mass hierarchy and flavour mixing from discrete symmetries

TL;DR

This paper explores how discrete symmetries like S(3) and A(4) can be used to simultaneously explain lepton mass hierarchies and flavor mixing patterns through a unified flavon field approach.

Contribution

It introduces models utilizing S(3) and A(4) symmetries with hybrid breaking to connect mass hierarchies and mixing patterns via common flavon fields.

Findings

Models successfully relate mass hierarchy to mixing patterns.

Hybrid symmetry breaking pattern effectively reproduces observed lepton mixing.

Framework offers a unified approach to flavor structure in leptons.

Abstract

We consider a class of discrete flavour symmetries for leptons based on the group S(3) and A(4) with an hybrid breaking pattern. The aim is to construct models in which the same flavon fields producing the mixing pattern are also responsible for the mass hierarchy.