Non-Anomalous Flavor Symmetries and $SU(6)\times SU(2{)}_R$ Model

Abstract

We introduce the flavor symmetry ${\mathbf{Z}}_M\times {\mathbf{Z}}_N\times D_4$ into the $SU(6)\times SU(2{)}_R$ string-inspired model. The cyclic group ${\mathbf{Z}}_M$ and the dihedral group $D_4$ are R symmetries, while ${\mathbf{Z}}_N$ 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 neutrino sector, we find a LMA-MSW solution but not SMA-MSW ones. The solution includes phenomenologically acceptable results concerning fermion masses and mixings and also concerning hierarchical energy scales including the GUT scale, the $\hat{I}¼$ scale and the Majorana mass scale of R-handed neutrinos.

27 pages, Latex, no figures