English

The Flavor Symmetry

High Energy Physics - Phenomenology 2010-04-06 v4 High Energy Physics - Experiment

Abstract

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.

Keywords

Cite

@article{arxiv.hep-ph/0302196,
  title  = {The Flavor Symmetry},
  author = {J. Kubo and A. Mondragon and M. Mondragon and E. Rodriguez-Jauregui},
  journal= {arXiv preprint arXiv:hep-ph/0302196},
  year   = {2010}
}

Comments

15 pages, LaTeX, 1 figure, erros corrected

R2 v1 2026-07-22T13:46:43.420Z