S_3 Symmetry and Neutrino Masses and Mixings

Abstract

Based on a universal seesaw mass matrix model with three scalars ϕ_i, and by assuming an S_3 flavor symmetry for the Yukawa interactions, the lepton masses and mixings are investigated systematically. In order to understand the observed neutrino mixing, the charged leptons (e, μ, τ) are regarded as the 3 elements (e_1, e_2, e_3) of S_3, while the neutrino mass-eigenstates are regarded as the irreducible representation (ν_η, ν_σ, ν_π) of S_3, where (ν_π, ν_η) and ν_σare a doublet and a singlet, respectively, which are composed of the 3 elements (ν_1, ν_2, ν_3) of S_3.

16 pages, no figure, version to appear in EPJ-C

Cited by in corpus (10)

• The Unique Horizontal Symmetry of Leptons
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• The Flavor Group Delta(6n^2)
• Simple Finite Non-Abelian Flavor Groups
• A new family symmetry for SO(10) GUTs
• Deviations from Tri-bimaximal Neutrino Mixing in Type-II Seesaw and Leptogenesis
• Lepton Masses in a Minimal Model with Triplet Higgs Bosons and $S_3$ Flavor Symmetry
• Lectures on Models of Neutrino Masses and Mixings
• A_4 Symmetry and Lepton Masses and Mixing
• Theoretical Models of Neutrino Mixing: Recent Developments