Tri-Bimaximal lepton mixing with A4 semidirect product Z2 x Z2 x Z2

TL;DR

This paper proposes a flavor symmetry model combining A4 and Z2 x Z2 x Z2 to achieve Tri-Bimaximal lepton mixing, utilizing scalar triplets and Froggatt-Nielsen mechanisms for mass hierarchies.

Contribution

It introduces a novel flavor symmetry framework with specific scalar alignments and mechanisms for neutrino masses and charged lepton hierarchies.

Findings

Achieves Tri-Bimaximal lepton mixing pattern.

Provides a mechanism for charged lepton mass hierarchies.

Utilizes effective Weinberg operators for neutrino masses.

Abstract

We consider a model based on A4 semidirect product (Ze x Zmu x Ztau) flavor symmetry for Tri-Bimaximal lepton mixing with two scalar A4-triplets whose vacuum expectation values have the same alignment. Neutrino masses are generated through effective dimension five Weinberg operators. Charged leptons mass hierarchies are generated with an additional Froggatt-Nielsen U(1) flavor symmetry under which right-handed leptons are charged.