Non-Abelian Discrete Flavor Symmetries

Abstract

This is an incomplete survey of some non-Abelian discrete symmetries which have been used recently in attempts to understand the flavor structure of leptons and quarks. To support such symmetries, new scalar particles are required. In some models, they are very massive, in which case there may not be much of a trace of their existence at the TeV scale. In other models, they are themselves at the TeV scale, in which case there is a reasonable chance for them to be revealed at the LHC (Large Hadron Collider) at CERN.

12pages, no figure, one correction

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Cited by in corpus (16)

• Flavor structures of charged fermions and massive neutrinos
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• The golden ratio prediction for the solar neutrino mixing
• Near Tribimaximal Neutrino Mixing with Delta(27) Symmetry
• The Flavor Group Delta(6n^2)
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• Simple Finite Non-Abelian Flavor Groups
• D4 Flavor Symmetry for Neutrino Masses and Mixing
• An angular momentum approach to quadratic Fourier transform, Hadamard matrices, Gauss sums, mutually unbiased bases, unitary group and Pauli group
• Soft supersymmetry breaking terms from D4 x Z2 lepton flavor symmetry
• Inverted Mass Hierarchy from Scaling in the Neutrino Mass Matrix: Low and High Energy Phenomenology
• Discrete R-symmetry anomalies in heterotic orbifold models
• Semidirect Product Groups, Vacuum Alignment and Tribimaximal Neutrino Mixing
• Unified model of fermion masses with Wilson line flavor symmetry breaking
• Family symmetries and the origin of fermion masses and mixings
• Two groups 2^3.PSL_2(7) and 2^3:PSL_2(7) of order 1344