Fermion masses and flavor mixings in a model with S4 flavor symmetry

We present a supersymmetric model of quark and lepton based on S4×Z3×Z4 flavor symmetry. The S4 symmetry is broken down to Klein four and Z3 subgroups in the neutrino and the charged lepton sectors, respectively. Tri-Bimaximal mixing and the charged lepton mass hierarchies are reproduced simultaneously at leading order. Moreover, a realistic pattern of quark masses and mixing angles is generated with the exception of the mixing angle between the first two generations, which requires a small accidental enhancement. It is remarkable that the mass hierarchies are controlled by the spontaneous breaking of flavor symmetry in our model. The next to leading order contributions are studied, all the fermion masses and mixing angles receive corrections of relative order λc2 with respect to the leading order results. The phenomenological consequences of the model are analyzed, the neutrino mass spectrum can be normal hierarchy or inverted hierarchy, and the combined measurement of the 0ν2β decay effective mass mββ and the lightest neutrino mass can distinguish the normal hierarchy from the inverted hierarchy.