Neutrino mass matrix from S4 symmetry

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 nu(mu)-nu(tau), mixing as well as zero U-e3. In addition, (nu(e) + nu(mu) + nu(tau))/root 3 is naturally close to being a mass eigenstate, thus predicting tan(2)theta(12) to be near but not equal to 1/2. (c) 2005 Elsevier B.V. All rights reserved.