Consequences of Approximate $S_3$ Symmetry of the Neutrino Mass Matrix

Abstract

Assuming that the neutrino mass matrix is dominated by a term with the permutation symmetry $S_3$ it is possible to explain neutrino data only if the masses are quasi-degenerate. A sub-dominant term with an approximate $\mu -\tau$ symmetry leads to an approximate tri-bimaximal form. Experimental consequences are discussed.

7 pages, 2 figures, 1 table, RevTex

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• Neutrino masses and tribimaximal mixing in the minimal renormalizable supersymmetric SU(5) grand unified model with A4 flavor symmetry
• Flavor Symmetry Breaking and Vacuum Alignment on Orbifolds
• Lepton masses and mixing in $SU(3{)}_C\otimes SU(3{)}_L\otimes U(1{)}_X$ models with a $S_3$ flavor symmetry
• Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}
• Fritzsch neutrino mass matrix from S3 symmetry
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• Lepton Masses in a Minimal Model with Triplet Higgs Bosons and $S_3$ Flavor Symmetry
• Quark mixing in an $S_3$ symmetric model with two Higgs doublets
• Radiative and Seesaw Threshold Corrections to the $S_3$ Symmetric Neutrino Mass Matrix
• Tri-Bimaximal Mixing from Twisted Friedberg-Lee Symmetry
• Theoretical Models of Neutrino Mixing: Recent Developments
• Naturally perturbed S${}_3$ neutrinos
• Phenomenology of Trimaximal mixing with one texture equality