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

Abstract

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.

15 pages, matches published version, updated references

References in corpus (3)

• A model for fermion masses and lepton mixing in SO(10) x A4
• Simple Finite Non-Abelian Flavor Groups
• Non-Abelian Discrete Flavor Symmetries

Cited by in corpus (15)

• The Unique Horizontal Symmetry of Leptons
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• Embedding A4 into left-right flavor symmetry: Tribimaximal neutrino mixing and fermion hierarchy
• Simple Finite Non-Abelian Flavor Groups
• The Seesaw Mechanism in Quark-Lepton Complementarity
• Fermion Mass Hierarchies and Flavour Mixing from a Minimal Discrete Symmetry
• Proton Hexality from an Anomalous Flavor U(1) and Neutrino Masses - Linking to the String Scale
• Group space scan of flavor symmetries for nearly tribimaximal lepton mixing
• Mapping out SU(5) GUTs with non-Abelian discrete flavor symmetries
• Unified parametrization of quark and lepton mixing matrices in tri-bimaximal pattern
• Theory of the Neutrino Mass
• Family symmetries and the origin of fermion masses and mixings
• Deviation from Tri-Bimaximal Neutrino mixing from the Charged Lepton Sector
• Neutrino Physics and CP violation