$(S_3)^3$ flavor symmetry and $p\to K^0 e^+$

Details $(S_3)^3$ flavor symmetry and $p\to K^0 e^+$ $(S_3)^3$ flavor symmetry and $p\to K^0 e^+$

1995-12-22

arxiv.org/abs/hep-ph/9512399v1

Phys.Rev.D53:6282-6291,1996

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pp. LaTeX

Scientific paper

10.1103/PhysRevD.53.6282

We show how to incorporate the lepton sector in a supersymmetric theory of flavor based on the discrete flavor group $(S_3)^3$. Assuming that all possible nonrenormalizable operators are generated at the Planck scale, we show that the transformation properties of the leptons and of the flavor-symmetry breaking fields are uniquely determined. We then 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. We 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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