Systematic analysis of finite family symmetry groups and their application to the lepton sector

TL;DR

This paper systematically analyzes finite subgroups of SU(3) to understand their role in shaping lepton masses and mixing matrices within an extended Standard Model framework.

Contribution

It provides a comprehensive classification of finite SU(3) subgroups as a toolkit for future lepton sector model building.

Findings

Classification of finite SU(3) subgroups

Implications for lepton mass matrices

Guidelines for model building in particle physics

Abstract

In this work we will investigate Lagrangians of the standard model extended by three right-handed neutrinos, and the consequences of invariance under finite groups G for lepton masses and mixing matrices are studied. The main part of this work is the systematic analysis of finite subgroups of SU(3). The analysis of these groups may act as a toolkit for future model building.