Neutrino masses and mixing: a flavour symmetry roadmap

TL;DR

This paper reviews the role of non-Abelian discrete flavour symmetries in modeling neutrino mixing, focusing on tri-bimaximal patterns, their phenomenological implications, and potential unification with quark sectors.

Contribution

It provides a comprehensive overview of non-Abelian discrete symmetry models for neutrino mixing and discusses their phenomenological and theoretical implications.

Findings

Non-Abelian discrete symmetries can naturally produce tri-bimaximal mixing.

Implications for neutrinoless double beta decay and lepton flavour violation are explored.

Potential for unified models of quarks and leptons is discussed.

Abstract

Over the last ten years tri-bimaximal mixing has played an important role in modeling the flavour problem. We give a short review of the status of flavour symmetry models of neutrino mixing. We concentrate on non-Abelian discrete symmetries, which provide a simple way to account for the TBM pattern. We discuss phenomenological implications such as neutrinoless double beta decay, lepton flavour violation as well as theoretical aspects such as the possibility to explain quarks and leptons within a common framework, such as grand unified models.