The Breaking $\mu \leftrightarrow \tau$ Symmetry through the ${\mathbf{Q}}_6$ Flavour Group

Abstract

In a supersymmetric scenario, we study masses and mixings for leptons through the ${\mathbf{Q}}_6$ flavour symmetry. In the simplest case, the ${\mathbf{M}}_{\nu }$ 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.

To be published in Proceeding of Science (PoS). 11th International Workshop Dark Side of the Universe 2015