Discrete Flavor Symmetries and Models of Neutrino Mixing

TL;DR

This paper reviews how non-abelian discrete groups are used to model neutrino mixing, focusing on specific symmetry groups like A4 and S4, and discusses their phenomenological implications and alternatives to Tri-Bimaximal mixing.

Contribution

It provides a comprehensive overview of models based on discrete flavor symmetries such as A4 and S4, highlighting their phenomenological predictions and extensions to quark sectors.

Findings

Models based on A4 and S4 successfully reproduce neutrino mixing patterns.

Discrete symmetries predict lepton flavor violation and leptogenesis effects.

Alternative mixing schemes like quark-lepton complementarity are also explored.

Abstract

We review the application of non abelian discrete groups to the theory of neutrino masses and mixing, which is strongly suggested by the agreement of the Tri-Bimaximal mixing pattern with experiment. After summarizing the motivation and the formalism, we discuss specific models, based on A4, S4 and other finite groups, and their phenomenological implications, including lepton flavor violating processes, leptogenesis and the extension to quarks. In alternative to Tri-Bimaximal mixing the application of discrete flavor symmetries to quark-lepton complementarity and Bimaximal Mixing is also considered.