(S_3)^3 Theories of Flavor

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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12 pp. LaTeX, Talk presented at the 5th International Workshop on Supersymmetry and Unification of Fundamental Interactions (S

Scientific paper

10.1016/S0920-5632(96)00557-9

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 $n \rightarrow K^0 \bar{\nu}_e$, $p\rightarrow K^+ \bar{\nu}_e$, and $p\rightarrow K^0 e^+$ occur at comparable rates, and could well be discovered simultaneously at the SuperKamiokande experiment.

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