The Flavor Symmetry

Details The Flavor Symmetry The Flavor Symmetry

2003-02-21

arxiv.org/abs/hep-ph/0302196v4

Prog.Theor.Phys.109:795-807,2003; Erratum-ibid.114:287-287,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, LaTeX, 1 figure, erros corrected

Scientific paper

10.1143/PTP.109.795

Assuming that the lepton, quark and Higgs fields belong to the three-dimensional reducible representation of the permutation group S_3, we suggest a minimal S_3 invariant extension of the standard model. We find that in the leptonic sector, the exact S_3 x Z_2 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 S_3 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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