arXiv:hep-ph/9507313·v2·High Energy Physics — Phenomenology

The Light, the Heavy and the Superheavy --- a Nonabelian Flavor Symmetry for the Full Hierarchy

Otto C.W. Kong (Institute of Field Physics, Department of Physics and Astronomy, University of North Carolina at Chapel Hill)

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Abstract

We give a preliminary report of a new quark mass matrix model basing on a $S U (5) \otimes S U (5) \otimes Q_{12}$ symmetry embedding into a fully gauged $S U (5) \otimes S U (5) \otimes S U (2)$ .~\cite{fk} The two $S U (5)$ 's contain the standard SUSY $S U (5)$ as a diagonal subgroup, while the $Q_{12}$ or $S U (2)$ is horizontal. Starting by assuming a judiciously-chosen set of chiral supermultiplets, and a pattern of spontaneous symmetry breaking, we obtain the low-energy chiral fermions together with a spectrum of superheavy fermions at two different scales. The latter mediate Froggatt-Nielsen tree graphs that give rise to a phenomenologically viable effective quark mass matrix texture. The model is the first example of a nontrivial combination of supersymmetry without R-parity, gauged nonabelian horizontal symmetry and unification/anti-unification. It is expected to have some very interesting features in SUSY-GUT phenomenology.

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