(S_3)^3 Theories of Flavor

Abstract

I present a supersymmetric theory of flavor based on the discrete flavor group $(S_3)^3$. The model can account for the masses and mixing angles of the standard model, while maintaining sufficient sfermion degeneracy to evade the supersymmetric flavor problem. I demonstrate that the model has a viable phenomenology and makes one very striking prediction: the nucleon decays predominantly to $K l$ where $l$ is a {\em first} generation lepton. I show that the modes $n \rightarrow K^0 \barν_e$, $p\rightarrow K^+ \barν_e$, and $p\rightarrow K^0 e^+$ occur at comparable rates, and could well be discovered simultaneously at the SuperKamiokande experiment.

12 pp. LaTeX, Talk presented at the 5th International Workshop on Supersymmetry and Unification of Fundamental Interactions (SUSY-96), U. of Maryland, College Park, May 29-June 1, 1996