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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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27 pages, Latex, no figures

Scientific paper

10.1143/PTP.108.965

We introduce the flavor symmetry ${\bf Z}_M \times {\bf Z}_N \times D_4$ into the $SU(6) \times SU(2)_R$ string-inspired model. The cyclic group ${\bf Z}_M$ and the dihedral group $D_4$ are R symmetries, while ${\bf Z}_N$ 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 $\mu$ scale and the Majorana mass scale of R-handed neutrinos.

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