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 (2)

• Group Theoretic Bases for Tribimaximal Mixing
• Normal and Special Models of Neutrino Masses and Mixings

Cited by in corpus (9)

• The Unique Horizontal Symmetry of Leptons
• Fermion Mass Hierarchies and Flavor Mixing from $T^{\prime }$ Symmetry
• Simplified Renormalizable $T^{{}^{\prime }}$ Model for Tribimaximal Mixing and Cabibbo Angle
• Neutrino mixing from the double tetrahedral group T^{\prime}
• Lectures on Models of Neutrino Masses and Mixings
• Quark Masses in Supersymmetric SU(3)color x SU(3)W x U(1)X Model with Discrete T' flavor symmetry
• Model-Independent Analysis of Tri-bimaximal Mixing -- a Softly-Broken Hidden or an Accidental Symmetry?
• Non-Abelian Discrete Flavor Symmetries
• Theory of the Neutrino Mass