Hybrid seesaw neutrino masses with A4 family symmetry

We consider the scenario in which neutrino data are explained by the interplay of type I and II seesaw terms in the Majorana neutrino mass matrix Mν=ML−MDMR−1MDT. We construct a predictive model with ML proportional to the unit matrix, 3 diagonal texture zeros in MR, and MD diagonal. We show how this pattern can be maintained by the non-Abelian discrete symmetry A4, and discuss its phenomenological consequences. It turns out that the two types of seesaw give contributions of the same order to Mν. In the CP conserving case, we find sinθ13≈2/(tan2θ23tan2θ12) and we predict inverted (normal) ordering of the mass spectrum for tan2θ12<0.5(>0.5).