Neutrino Mass Matrix from S₄ Symmetry

الأصل · EN

The cubic symmetry S₄ contains A₄ and S₃, both of which have been used to study neutrino mass matrices. Using S₄ as the family symmetry of a complete supersymmetric theory of leptons, it is shown how the requirement of breaking S₄ at the seesaw scale without breaking supersymmetry enforces a special form of the neutrino mass matrix which exhibits maximal nuₘu - nuₜau mixing as well as zero Uₑ3. In addition, (nuₑ + nuₘu + nuₜau)/sqrt3 is naturally close to being a mass eignestate, thus predicting tan² theta₁2 to be near but not equal to 1/2.