The Breaking $\mu \leftrightarrow \tau$ Symmetry through the ${\bf Q}_{6}$ Flavour Group

TL;DR

This paper explores how a ${f Q}_{6}$ flavour symmetry in a supersymmetric model naturally breaks the $$ symmetry, leading to realistic neutrino mixing angles consistent with experimental observations.

Contribution

It introduces a ${f Q}_{6}$ flavour symmetry framework that breaks $$ symmetry in the neutrino sector within a supersymmetric context, explaining observed mixing angles.

Findings

Neutrino mass matrix breaks $$ symmetry

Reactor and atmospheric angles deviate from ideal values

Model aligns with experimental neutrino data

Abstract

In a supersymmetric scenario, we study masses and mixings for leptons through the ${\bf Q}_{6}$ flavour symmetry. In the simplest case, the ${\bf M}_{\nu}$ effective neutrino mass matrix, that comes from the type I see-saw mechanism, breaks the $\mu \leftrightarrow \tau$ interchange symmetry. As consequence, the reactor and atmospheric angles deviate from $0^{\circ}$ and $45^{\circ}$, respectively. At first glance, the model might accommodate very well the reactor and atmospheric angles in good agreement with the experimental data.