Model for fermion masses and lepton mixing in SO(10) x A(4)

Abstract

The discrete flavor symmetry A(4) explains very well neutrino data at low energy, but it seems difficult to extend it to grand unified models since, in general, left-handed and right-handed fields belong to different A(4) representations. Recently a model has been proposed where all the fermions equally transform under A(4). We study here a concrete SO(10) realization of such a model providing small neutrino masses through the see-saw mechanism. We fit the charged fermion masses run up to the unification scale. Some fermion masses properties come from the SO(10) symmetry while lepton mixing angles are a consequence of the A(4) properties. Moreover, our model predicts the absolute value of the neutrino masses; these are in the range m(nu)similar or equal to 0.005-0.052 eV.