Z(3) Flavor Symmetry and Possible Implications

Details Z(3) Flavor Symmetry and Possible Implications Z(3) Flavor Symmetry and Possible Implications

2009-05-25

arxiv.org/abs/0905.3936v1

Phys.Lett.B672:303,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, no figures, final version for Phys. Lett. B

Scientific paper

10.1016/j.physletb.2009.01.020

We show in this paper that the Z(3) flavor symmetry, which can successfully produce the tri-bimaximal mixing and flavor pattern of neutrino sector, has a possible explanation in the framework of gauge symmetry by constructing a wavefunction of flavor state particles with the help of the Wilson loop. In this implementation of Z(3) flavor symmetry, we suggest that the flavor charge in weak interaction can be interpreted as a topological charge. Its possible implications and generalizations to the quark sector are also discussed.

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