(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 $Kl$ where $l$ is a {\em first} generation lepton. I show that the modes $n\to K^0{\bar{\nu }}_e$, $p\to K^{+}{\bar{\nu }}_e$, and $p\to K^0{e}^{+}$ occur at comparable rates, and could well be discovered simultaneously at the SuperKamiokande experiment.

Comments: 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