Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}

Abstract

We study the effects of breaking S3 symmetry in the neutrino mass matrix for the masses and mixing matrix of neutrinos. At zeroth order the model gives degenerate neutrino masses and accommodates tribimaximal mixing. We introduce perturbations in terms of a small and complex parameter. The perturbations are introduced in a manner such that the S3 symmetry is broken by its elements in the same representation. Successive perturbations introduce mass splitting, sizable non-zero reactor mixing angle and CP violation. This scheme of breaking S3 symmetry can reproduce a relatively large reactor mixing angle as suggested by the recent T2K results. The effective neutrino mass is predicted to be large which is testable in the ongoing and forthcoming neutrinoless double beta decay experiments.

14 pages, 4 figures, 1 table, references added

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Cited by in corpus (8)

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• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• Compatibility of theta13 and the Type I Seesaw Model with A4 Symmetry
• Novel signatures of the Higgs sector from S3 flavor symmetry
• Neutrino Mixing and Discrete Symmetries
• Bilarge Neutrino Mixing and Abelian Flavor Symmetry
• Naturally perturbed S${}_3$ neutrinos
• Trimaximal-Cabibbo neutrino mixing: A parametrization in terms of deviations from tri-bimaximal mixing