Symmetric textures in SO(10) and large mixing angle solution for solar neutrinos

We analyze a model based on supersymmetric SO(10) combined with SU(2) family symmetry and symmetric mass matrices constructed by the authors recently. Previously, only the parameter space for the low mass, low probability and vacuum oscillation solutions was investigated. We indicate in this Brief Report the parameter space that leads to a large mixing angle solution to the solar neutrino problem with a slightly modified effective neutrino mass matrix. The symmetric mass textures arising from the left-right symmetry breaking and the SU(2) symmetry breaking give rise to very good predictions for the quark and lepton masses and mixing angles. The prediction of our model for the |U_eν3| element in the Maki-Nakagawa-Sakata matrix is close to the sensitivity of current experiments; thus the validity of our model can be tested in the near future. We also investigate the correlation between the |U_eν3| element and tan²θ_⊙ in a general two-zero neutrino mass texture.