Fermion Masses and Mixings in a S4 Based Model

Understand

It has been recently claimed that the symmetry group S4 yields to the Tri-bimaximal neutrino mixing in a "natural" way from the group theory point of view.

• Approving of this feature as an indication, we build a supersymmetric model of lepton and quark masses based on this family symmetry group.
• In the lepton sector, a correct mass hierarchy among the charged leptons is achieved together to a neutrino mass matrix which can be diagonalized by the Tri-bimaximal pattern.
• Our model results to be phenomenologically unequivalent with respect to other proposals based on different flavour groups but still predicting the Tri-bimaximal mixing.