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

References in corpus (9)

• The Flavor Group Delta(3n^2)
• Predictive flavour symmetries of the neutrino mass matrix
• Flavor Symmetry for Quarks and Leptons
• Model of Geometric Neutrino Mixing
• Neutrino mixing matrix in the 3-3-1 model with heavy leptons and $A_4$ symmetry
• Non-Abelian Discrete Family Symmetries of Leptons and Quarks
• New Lepton Family Symmetry and Neutrino Tribimaximal Mixing
• Group Theoretic Bases for Tribimaximal Mixing
• A_4 Symmetry and Lepton Masses and Mixing

Cited by in corpus (9)

• 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
• Simple Finite Non-Abelian Flavor Groups
• D4 Flavor Symmetry for Neutrino Masses and Mixing
• 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
• Family symmetries and the origin of fermion masses and mixings