(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.

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

References in corpus (5)

• Violations of lepton flavour and CP in supersymmetric unified theories
• Mass Matrix Models: The Sequel
• Nucleon Decay in the Minimal Supersymmetric $SU(5)$ Grand Unification
• Should Squarks Be Degenerate?
• A Geometry of the Generations

Cited by in corpus (1)

• The Unique Horizontal Symmetry of Leptons