An SU(3) symmetry for light neutrinos

TL;DR

This paper proposes a global SU(3) symmetry framework for light neutrinos, predicting specific mixing angles and discussing implications for neutrinoless double beta-decay, based on symmetry breaking patterns.

Contribution

It introduces a novel SU(3) symmetry approach for neutrino mass eigenstates and derives predictions for mixing angles from symmetry breaking assumptions.

Findings

Predicts atmospheric mixing angle, sin^2θ_23=0.5

Predicts zero reactor angle, sinθ_13=0

Fixes solar mixing angle, sin^2θ_12=1/3

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.