The Flavor Symmetry
Abstract
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.
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