Implications of Muon $\mathit{g}-2$ for Supersymmetry and for Discovering Superpartners Directly

We study the implications of interpreting the recent muon $g_{\mu }-2\mathrm{}$ deviation from the standard model prediction as evidence for virtual superpartners, with very general calculations that include effects of phases and are consistent with all relevant constraints. Assuming that the central value is confirmed with smaller errors, there are upper limits on masses: at $1.5\sigma$, at least one superpartner mass is below about 450 GeV (550 GeV) for $\tan \beta =35\mathrm{}$ (50) and may be produced at the Fermilab Tevatron in the upcoming run.