New Lepton Family Symmetry and Neutrino Tribimaximal Mixing

Abstract

The newly proposed finite symmetry Sigma(81) is applied to the problem of neutrino tribimaximal mixing. The result is more satisfactory than those of previous models based on A_4 in that the use of auxiliary symmetries (or mechanisms) may be avoided. Deviations from the tribimaximal pattern are expected, but because of its basic structure, only tan^2 (theta_12) may differ significantly from 0.5 (say 0.45) with sin^2 (2 theta_23) remaining very close to one, and theta_13 very nearly zero.

arXiv comment8 pages, no figure

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• Lepton Mixing and Cancellation of the Dirac Mass Hierarchy in SO(10) GUTs with Flavor Symmetries T7 and Sigma(81)
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• Lepton Flavour Violation in a Supersymmetric Model with A4 Flavour Symmetry
• Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
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• Horizontal symmetries of leptons with a massless neutrino
• SU(3) Gauge Family Symmetry and Prediction for the Lepton-Flavor Mixing and Neutrino Masses with Maximal Spontaneous CP Violation
• Non-Abelian Discrete Flavor Symmetries
• Flavor unification, dark matter, proton decay and other observable predictions with low-scale $S_4$ symmetry
• Dimension-five effective operators in electro-weak SU(4)xU(1) gauge models
• Theory of the Neutrino Mass
• The flavor problem and discrete symmetries
• Deviation from Tri-Bimaximal Mixing and Large Reactor Mixing Angle
• Family symmetries and the origin of fermion masses and mixings
• Neutrino Mass and Flavour Models
• Gauge Theory Model of the Neutrino and New Physics Beyond the Standard Model
• Lepton Private Higgs and the discrete group Σ(81)
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