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

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.