Constraints from the muon anomalous magnetic moment and $b \to s \gamma$ on gauge-mediated supersymmetry-breaking models

Abstract

We present a combined study of the muon anomalous magnetic moment, $a_{\mu} \equiv (g-2)_{\mu} /2$, and $b \to s \gamma$ decay in the minimal supersymmetric standard model with gauge-mediated supersymmetry-breaking. Combining new experimental data on $a_{\mu}$ and the branching ratio for $b \to s \gamma$, useful limits on the parameter space of these models are derived. Bounds on supersymmetric particle masses as a function of $\tan \beta$ are also presented.