Neutrino mass matrix from S 4 symmetry

By E. Ma. 2005

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Abstract The cubic symmetry S 4 contains A 4 and S 3 , both of which have been used to study neutrino mass matrices. Using S 4 as the family symmetry of a complete supersymmetric theory of leptons, it is shown how the requirement of breaking S 4 at the seesaw scale without breaking supersymmetry enforces a special form of the neutrino mass matrix which exhibits maximal ν μ – ν τ mixing as well as zero U e 3 . In addition, ( ν e + ν μ + ν τ ) / 3 is naturally close to being a mass eigenstate, thus predicting tan 2 θ 12 to be near but not equal to 1/2.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2492a7dda80bed01fe34f353c4669546cc530477

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