Flavor- and CP-safe explanation of $g_μ-2$ anomaly

Abstract: Supersymmetry is still a viable explanation for the muon $g-2$ anomaly, if the sleptons and electroweak gauginos are $\mathcal{O}(100)$ GeV. However, for supersymmetry breaking masses this light, the SUSY flavor and CP-problem are exacerbated. To address this issue, we consider a flavor-safe gauge mediated explanation of the muon $g-2$ with additional Higgs soft supersymmetry breaking mass parameters. The setup provides a generic parameter space within minimal gauge mediation. Furthermore, we show that the problematic CP violating phase can be dynamically suppressed. We find that gauge mediation models have large portions of parameter space where the muon $g-2$ can be explained at 1 $\sigma$ level. The interplay between the slepton and the CP-odd Higgs masses also makes the majority of this model's parameter space testable at the LHC through searches for sleptons or additional Higgs bosons.