The Flavor Symmetry

الأصل · EN

Assuming that the lepton, quark and Higgs fields belong to the three-dimensional reducible representation of the permutation group S₃, we suggest a minimal S₃ invariant extension of the standard model. We find that in the leptonic sector, the exact S₃ x Z₂ symmetry, which allows 6 real independent parameters with two CP-violating phases, is consistent with experimental data and predicts a maximal mixing of the atmospheric neutrinos, and that the third neutrino is the lightest neutrino. With the exact S₃ only, there are 10 real parameters and five phases in the quark sector. A set of values of these parameters that are consistent with experimental observations is given.