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S3 Symmetry and Neutrino Masses and Mixings

Yoshio Koide

hep-pharXiv:hep-ph/0612058

Abstract

Based on a universal seesaw mass matrix model with three scalars ϕi, and by assuming an 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 3 elements (e1, e2, e3) of S3, while the neutrino mass-eigenstates are regarded as the irreducible representation (νη, νσ, νπ) of S3, where (νπ, νη) and νσare a doublet and a singlet, respectively, which are composed of the 3 elements (ν1, ν2, ν3) of S3.

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