An SU(3) symmetry for light neutrinos

doi:10.1140/epjc/s10052-007-0320-9

EPJ

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2024 Impact factor 4.8

Particles and Fields

Eur. Phys. J. C (2007) 51: 697-699
https://doi.org/10.1140/epjc/s10052-007-0320-9

Regular Article - Theoretical Physics

An SU(3) symmetry for light neutrinos

Riazuddin^*

National Centre for Physics, Quaid-i-Azam University, Islamabad, 45320, Pakistan

^* e-mail: riazuddin@ncp.edu.pk

Received: 23 March 2007
Revised: 17 April 2007
Published online: 6 June 2007

Abstract

It is proposed that light neutrinos form a triplet in a global SU(3) symmetry in the mass eigenstate basis. Assuming that the SU(3) symmetry is broken in the direction $(-a\lambda_{3}+\frac{b}{\sqrt{3}}\lambda_{8})$ , and after going to the flavor basis, we predict the atmospheric mixing angles sin²θ₂₃=0.5 and sinθ₁₃=0, if ν_μ–ν_τ symmetry is assumed. In the flavor basis, the diagonal part of the matrix coefficient of b (the dominant part) is found to transform like $(\lambda_{3}+\frac{1}{\sqrt{3}}\lambda_{8})$ . Imposing the same condition on the matrix coefficient of a fixes the solar mixing angle, $\sin^{2}\theta_{12}= \frac{1}{3}$ . The implications for neutrinoless double beta decay are discussed.