Interpreting the new Brookhaven $g_{\mu }-2$ result

The latest $g_{\mu }-2$ measurement by Brookhaven National Laboratory (BNL) confirms the earlier measurement with twice the precision. However, interpretation of the result requires specific assumptions regarding the errors in the hadronic light by light (LBL) correction and in the hadronic vacuum polarization correction. Under the assumption that the recent reanlayses of the LBL correction are valid, the new BNL result implies a deviation between experiment and the standard model of $1.6\sigma -2.6\sigma$ depending on the estimate of the hadronic vacuum polarization correction. We reexamine the $g_{\mu }-2$ constraint for minimal supergravity and its implications for the direct detection of sparticles at colliders and for the search for supersymmetric dark matter in view of the new evaluation.