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.

8 pages, no figure

References in corpus (4)

• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• Supersymmetric A_4 X Z_3 and A_4 Realizations of Neutrino Tribimaximal Mixing Without and With Corrections
• $A_4$ Group and Tri-bimaximal Neutrino Mixing -- A Renormalizable Model
• Lepton Family Symmetry and Possible Application to the Koide Mass Formula

Cited by in corpus (17)

• The Unique Horizontal Symmetry of Leptons
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Lepton Flavour Violation in Models with A4 Flavour Symmetry
• The Flavor Group Delta(6n^2)
• On the origin of neutrino flavour symmetry
• Lepton Mixing and Cancellation of the Dirac Mass Hierarchy in SO(10) GUTs with Flavor Symmetries T7 and Sigma(81)
• Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
• On the finite subgroups of U(3) of order smaller than 512
• Measurable Neutrino Mass Scale in A4 x SU(5)
• Non-Abelian Discrete Flavor Symmetries
• Flavor unification, dark matter, proton decay and other observable predictions with low-scale $S_4$ symmetry
• Theory of the Neutrino Mass
• The flavor problem and discrete symmetries
• Family symmetries and the origin of fermion masses and mixings
• A(4) Symmetry and Neutrinos
• Deviation from Tri-Bimaximal Neutrino mixing from the Charged Lepton Sector