Flavor Symmetry for Quarks and Leptons

Abstract

Present data on neutrino masses and mixing favor the highly symmetric tribimaximal neutrino mixing matrix which suggests an underlying flavor symmetry. A systematic study of non-abelian finite groups of order $g\le 31$ reveals that tribimaximal mixing can be derived not only from the well known tetrahedral flavor symmetry $T\equiv A_4$, but also by using the binary tetrahedral symmetry $T^{{}^{\prime }}\equiv S{L}_2(F_3)$ which does not contain the tetrahedral group as a subgroup. $T^{{}^{\prime }}$ has the further advantage that it can also neatly accommodate the quark masses including a heavy top quark.

12 pages latex. More typos corrected

References in corpus (7)

• Very Special Relativity
• A Lorentz-Violating Origin of Neutrino Mass?
• Group Theoretic Bases for Tribimaximal Mixing
• Supersymmetric Model of Radiative Seesaw Majorana Neutrino Masses
• Normal and Special Models of Neutrino Masses and Mixings
• Neutrino Mass, Dark Matter, and Leptogenesis
• Application of Finite Groups to Neutrino Mass Matrices

Cited by in corpus (38)

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• The Flavor Group Delta(6n^2)
• The 3-3-1 model with S_4 flavor symmetry
• Fermion Mass Hierarchies and Flavor Mixing from $T^{\prime }$ Symmetry
• Simplified Renormalizable $T^{{}^{\prime }}$ Model for Tribimaximal Mixing and Cabibbo Angle
• A new family symmetry for SO(10) GUTs
• Neutrino mixing from the double tetrahedral group T^{\prime}
• $T^{{}^{\prime }}$ Predictions of PMNS and CKM Angles
• Lepton flavor at the electroweak scale: A complete A4 model
• Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry
• Three-Higgs-doublet model with $A_4$ symmetry
• Radiative seesaw-type mechanism of quark masses in SU(3\)_{C}\otimes SU(3\)_{L}\otimes U\(1\)_{X}$
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• A direct link between neutrinoless double beta decay and leptogenesis in a seesaw model with $S_4$ symmetry
• Lectures on Models of Neutrino Masses and Mixings
• Model-Independent Analysis of Tri-bimaximal Mixing -- a Softly-Broken Hidden or an Accidental Symmetry?
• Quark Masses in Supersymmetric SU(3)color x SU(3)W x U(1)X Model with Discrete T' flavor symmetry
• Lepton masses and mixings in a $T^{\prime }$ flavoured 3-3-1 model with type I and II seesaw mechanisms
• Non-Abelian Discrete Flavor Symmetries
• Quark mass hierarchy in 3-3-1 models
• An A_5 Model of Four Lepton Generations
• Informationally complete characters for quark and lepton mixings
• LHC Higgs Production and Decay in the T' Model
• Analysis of Quark Mixing Using Binary Tetrahedral Flavor Symmetry
• Theory of the Neutrino Mass
• Discrete Anomalies of Binary Groups
• The flavor problem and discrete symmetries
• Theoretical Models of Neutrino Mixing: Recent Developments
• Fermion Mixings in SU(9) Family Unification
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• Flavor from the double tetrahedral group without supersymmetry
• Electron and Muon $g-2$ Contributions from the $T^{\prime }$ Higgs Sector
• Cancellation Mechanism of FCNCs in S_4 x Z_2 Flavor Symmetric Extra U(1) Model
• A Radiative Model of Quark Masses with Binary Tetrahedral Symmetry
• Flavor's Delight