( S 3 ) 3 flavor symmetry and p→ K 0 e +
Abstract
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
Kl
where
l
is a {\em first} generation lepton. We show that the modes
n→
K
0
ν
¯
e
,
p→
K
+
ν
¯
e
, and
p→
K
0
e
+
occur at comparable rates, and could well be discovered simultaneously at the SuperKamiokande experiment.