Supersymmetric Alignment Models for $(g-2)_{\mu}$

TL;DR

This paper proposes supersymmetric models with horizontal symmetries that can simultaneously address the muon g-2 anomaly and suppress flavor and CP violations, with testable predictions for future EDM experiments.

Contribution

It introduces supersymmetric models with $U(1)$ horizontal symmetries that explain the muon g-2 anomaly while satisfying flavor and CP constraints.

Findings

Models with two $U(1)$ symmetries explain muon g-2

Parameter space will be tested by future electron EDM experiments

Models suppress flavor violations and electric dipole moments

Abstract

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.