Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3

Details Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3 Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3

2007-06-15

arxiv.org/abs/0706.2341v2

Phys.Lett.B652:27-33,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, matches published version, updated references

Scientific paper

10.1016/j.physletb.2007.06.059

The Non-Abelian finite group PSL_2(7) is the only simple subgroup of SU(3) with a complex three-dimensional irreducible representation. It has two maximal subgroups, S_4 which, along with its own A_4 subgroup, has been successfully applied in numerous models of flavor, as well as the 21 element Frobenius group Z_7 x Z_3, which has gained much less attention. We show that it can also be used to generate tri-bimaximal mixing in the neutrino sector, while allowing for quark and charged lepton hierarchies.

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