Abstract
We introduce the flavor symmetry ZM ×ZN ×D4 into the SU(6) ×SU(2)R string-inspired model. The cyclic group ZM and the dihedral group D4 are R symmetries, while ZN is a non-R symmetry. By imposing the anomaly-free conditions on the model, we obtain a viable solution under many phenomenological constraints coming from the particle spectra. for the neutrino sector, we find a LMA-MSW solution but no SMA-MSW solution. The solution includes phenomenologically acceptable results concerning fermion masses and mixings and also concerning hierarchical energy scales including the GUT scale, the μ scale and the Majorana mass scale of R-handed neutrinos.
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