An SU(3) symmetry for light neutrinos

Abstract

It is proposed that light neutrinos form a triplet in a global SU(3) symmetry in mass eigenstate basis. Assuming that the SU(3)symmetry is broken in the direction (-alambda_{3}+frac{b}/{sqrt{3}}lambda_{8}), and after going to the flavor basis we predict atmospheric mixing angle, sin ^{2}theta_{23}=0.5 and sin theta_{13}=0 if nu_{mu}-nu_{tau} symmetry is assumed. In the flavor basis the diagonal part of matrix coefficient of b (dominant part) is found to transform like (lambda_{3}+frac{1}/{sqrt{3}}lambda_{8}). Imposing the same on matrix coefficient of $a$ fixes solar mixing angle,sin ^{2}theta _{12}=frac{1}{3}. Implications for neutrinoless double beta-decay are discussed.

arXiv comment10 pages, Accepted for publication in EPJ C

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Cited by in corpus (10)

• The Unique Horizontal Symmetry of Leptons
• Softly broken $\mu \leftrightarrow \tau$ symmetry in the minimal see-saw model
• Generating ${\theta }_{13}$ from sterile neutrinos in $\mu -\tau$ symmetric models
• Left-right symmetric model with $\mu \leftrightarrow \tau$ symmetry
• Generalized ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ in Scaling neutrino Majorana mass matrix and baryogenesis via flavored leptogenesis
• Leptonic CP phases near the $\mu -\tau$ symmetric limit
• Deviations to Tri-Bi-Maximal mixing in the limit of $\mu -\tau$ symmetry
• Restricting Majorana phases in the Tri-Bi-Maximal limit
• Dirac neutrino mixings from hidden $\mu -\tau$ symmetry
• Small ${\theta }_{13}$ and solar neutrino oscillation parameters from $\mu -\tau$ symmetry