Anomaly Conditions for Non-Abelian Finite Family Symmetries

TL;DR

This paper derives anomaly conditions for non-Abelian finite family symmetries, providing new constraints for flavor models that explain lepton mixing patterns.

Contribution

It introduces discrete anomaly conditions for non-Abelian groups, aiding the construction of flavor models with specific lepton mixing features.

Findings

Derived anomaly constraints for various non-Abelian groups

Provided new guidelines for flavor model building

Enhanced understanding of discrete symmetry consistency

Abstract

Assuming that finite family symmetries are gauged, we derive discrete anomaly conditions for various non-Abelian groups. We thus provide new constraints for flavor model building, in which discrete non-Abelian symmetries are employed to explain the tri-bimaximal mixing pattern in the lepton sector.