Eur. Phys. J. C (2007) 50: 809-816
https://doi.org/10.1140/epjc/s10052-007-0261-3

Regular Article - Theoretical Physics

S₃ symmetry and neutrino masses and mixings

Department of Physics, University of Shizuoka, 52-1 Yada, Shizuoka, 422-8526, Japan

^* e-mail: koide@u-shizuoka-ken.ac.jp

Received: 12 November 2006
Revised: 30 January 2007
Published online: 20 March 2007

Abstract

Based on the universal seesaw mass matrix model with the three scalars φ_i, and by assuming S₃ 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 three objects (e₁,e₂,e₃) of S₃, while the neutrino mass eigenstates are regarded as the irreducible representation (ν_η,ν_σ,ν_π) of S₃, where (ν_π,ν_η) and ν_σ are a doublet and a singlet, respectively, which are composed of the three objects (ν₁,ν₂,ν₃) of S₃.