Flavor symmetry for quarks and leptons

2007/06/30 by Paul H. Frampton, Thomas W. Kephart · 6 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1088/1126-6708/2007/09/110

published as JHEP0709:110,2007 · 12 pages latex. More typos corrected

arxiv created 2007/09/14 · openalex publication_date 2007/09/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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 ≤ 31 reveals that tribimaximal mixing can be derived not only from the well known tetrahedral flavor symmetry T ≡ A₄, but also by using the binary tetrahedral symmetry T^' ≡ SL₂(F₃) which does not contain the tetrahedral group as a subgroup. T^' has the further advantage that it can also neatly accommodate the quark masses including a heavy top quark.

Citations

• Normal and Special Models of Neutrino Masses and Mixings
• A Lorentz-Violating Origin of Neutrino Mass?
• Group Theoretic Bases for Tribimaximal Mixing

Cited by

• A simplest A4 model for Tri-Bimaximal neutrino mixing
• Discrete anomalies of binary groups
• Tri-bimaximal neutrino mixing from A4 and θ13∼θC
• Model-independent analysis of tri-bimaximal mixing: A softly-broken hidden or an accidental symmetry?
• SUSY adjoint SU(5) grand unified model with S4 flavor symmetry
• Fermion masses and mixings in a S4 based model