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$S_3$ Symmetry and Tri-bimaximal Mixing

R. N. Mohapatra·S. Nasri·Hai-Bo Yu
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Abstract

The near maximal value for the atmospheric neutrino mixing angle together with the fact that the solar mixing angle satisfies the relation $\sin^2θ_\odot\simeq {1/3}$ is the basis for the so called tri-bimaximal mixing (tbm) when $θ_{13}=0$. In this note, we explore the possibility that tri-bimaximal mixing is an indication of a softly broken higher leptonic symmetry $S_3$, the permutation of three lepton families that embeds the $μ-τ$ exchange symmetry of leptons.

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R. N. Mohapatra, S. Nasri, Hai-Bo Yu. 2006-05-10. $S_3$ Symmetry and Tri-bimaximal Mixing. https://doi.org/10.1016/j.physletb.2006.06.032

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