  Hierarchical masses of quarks and leptons are addressed by imposing
horizontal symmetries. In supersymmetric Standard Models, the same symmetries
play a role in suppressing flavor violating processes induced by supersymmetric
particles. Combining the idea of spontaneous CP violation to control
contributions to electric dipole moments (EDMs), the mass scale of
supersymmetric particles can be lowered. We present supersymmetric models with
$U(1)$ horizontal symmetries and discuss CP and flavor constraints. Models with
two $U(1)$ symmetries are found to give a viable solution to the muon $g-2$
anomaly. Interestingly, the parameter space to explain the anomaly will be
probed by future electron EDM experiments.
