Embedding A4 into left-right flavor symmetry: Tribimaximal neutrino mixing and fermion hierarchy

TL;DR

This paper proposes a model combining left-right flavor symmetry and A4 discrete symmetry to explain fermion mass hierarchies and lepton mixing patterns, predicting a heavy third family and tribimaximal mixing.

Contribution

It introduces a novel approach by breaking left-right flavor symmetry into A4, unifying explanations for fermion hierarchies and mixing angles.

Findings

Predicts a heavy third family of fermions.

Achieves tribimaximal mixing for leptons.

Provides a possible origin for quark mixing angles.

Abstract

We address two fundamental aspects of flavor physics: the mass hierarchy and the large lepton mixing angles. On one side, left-right flavor symmetry realizes the democratic mass matrix patterns and explains why one family is much heavier than the others. On the other side, discrete flavor symmetry such as A4 leads to the observed tribimaximal mixing for the leptons. We show that, by explicitly breaking the left-right flavor symmetry into the diagonal A4, it is possible to explain both the observed charged fermion mass hierarchies and quark and lepton mixing angles. In particular we predict a heavy 3rd family, the tribimaximal mixing for the leptons, and we suggest a possible origin of the Cabibbo and other mixing angles for the quarks.