Quark and Lepton Mass Matrices in the SO(10) Grand Unified Theory with Generation Flipping

Abstract

We investigate the SO(10) grand unified model with generation flipping. The model contains one extra matter multiplet $ψ(10)$ and it mixes with the usual matter multiplets $ψ_i(16)$ when the SO(10) is broken down to SU(5). We find the parameter region of the model in which the observed quark masses and mixings are well reproduced. The resulting parameter region is consistent with the observation that only $ψ_i(16)$ have a source of hierarchies and indicates that the mixing between second and third generations tends to be large in the lepton sector, which is consistent with the observed maximal mixing of the atmospheric neutrino oscillation. We also show that the model can accommodate MSW and vacuum oscillation solutions to the solar neutrino deficit depending on the form of the Majorana mass matrix for the right-handed neutrinos.