Fritzsch Texture in SUSY-SO(10) with Large Neutrino Mixing

Abstract

Fritzsch's texture is imposed on {\em all} mass matrices in a SUSY-SO(10) via a family $U(1)_{PQ}$ symmetry. The observed charged fermion parameters fix the $ν$-masses and mixing, while the later are evolved from the GUT scale to low energies using the RG. Large $\sin^2 2θ_{12}$ results. As in a SUSY-GUT no intermediate scale is allowed, the RH-neutrino scale is the unification one and this gives in our model $Δm_{12}^2 \approx {10}^{-10} eV^2$, in accordance with the vacuum oscillation solution to the solar-$ν$ puzzle.