Permutation Symmetry for Neutrino and Charged-Lepton Mass Matrices

Abstract

The permutation symmetry $S_3$ is appplied to obtain two equal Majorana neutrino masses, while maintaining three different charged-lepton masses and suppressing neutrinoless double beta decay. The resulting radiative splitting of the two neutrinos is shown to be suitable for solar neutrino vacuum oscillations.

13 pages including 1 figure

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• Neutrino Masses and Lepton-Flavor Violation in Supersymmetric Models with lopsided Froggatt-Nielsen charges
• Basis independent neutrino masses in the $R_p$ violating MSSM
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• Exotic Higgs boson decay modes as a harbinger of $S_3$ flavor symmetry
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• Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}
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• Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds
• $S_3$ discrete group as a source of the quark mass and mixing pattern in $331$ models
• A predictive $331$ model with $A_4$ flavour symmetry
• The Cabibbo Angle in a Supersymmetric D14 Model
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• 3-Neutrino Mass Spectrum from Combining Seesaw and Radiative Neutrino Mass Mechanisms
• A neutrino mass model with S3 symmetry and see-saw interplay
• Radiative and Seesaw Threshold Corrections to the $S_3$ Symmetric Neutrino Mass Matrix
• CP violation due to multi Froggatt-Nielsen fields
• Symmetryless Dark Matter
• Phenomenology of Trimaximal mixing with one texture equality
• Spontaneous symmetry breaking in three-Higgs-doublet $S_3$-symmetric models