Flavour models for TM1 lepton mixing

TL;DR

This paper develops a framework for lepton flavour models with a specific mixing matrix column, utilizing the S4 symmetry group and supersymmetric vacuum alignment to achieve the desired lepton mixing pattern.

Contribution

It introduces a new lepton flavour model framework based on S4 symmetry and supersymmetric vacuum alignment to realize a specific lepton mixing matrix column.

Findings

The model successfully reproduces the targeted lepton mixing pattern.

S4 is identified as the suitable symmetry group for this purpose.

Vacuum alignment can be achieved within a supersymmetric framework.

Abstract

We present a framework for lepton flavour models such that the first column of the lepton mixing matrix is (2,-1,-1)/sqrt(6). We show that the flavour symmetry group adequate for this purpose is S4. Our models are based on a vacuum alignment that can be obtained in a supersymmetric framework.