The Unique Horizontal Symmetry of Leptons

Abstract

There is a group-theoretical connection between fermion mixing matrices and minimal horizontal symmetry groups. Applying this connection to the tri-bimaximal neutrino mixing matrix, we show that the minimal horizontal symmetry group for leptons is uniquely $S_4$, the permutation group of four objects.

References added. To appear in Phys. Rev. D

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Cited by in corpus (7)

• Is S4 the horizontal symmetry of tri-bimaximal lepton mixing?
• A new family symmetry for SO(10) GUTs
• Neutrino masses and tribimaximal mixing in the minimal renormalizable supersymmetric SU(5) grand unified model with A4 flavor symmetry
• Tri-bimaximal lepton mixing from symmetry only
• Flavor Symmetry Breaking and Vacuum Alignment on Orbifolds
• Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds
• Deviation from Tri-Bimaximal Neutrino mixing from the Charged Lepton Sector