Constraints on lepton flavor violation in the minimal supersymmetric standard model from the muon anomalous magnetic moment measurement

We establish a correspondence between those Feynman diagrams in the minimal supersymmetric standard model (MSSM) that give supersymmetric contributions to the muon anomalous magnetic moment and those that contribute to the flavor violating processes mu -->e gamma and tau --> mu gamma. Using current experimental limits on the branching ratios of these decay modes, combined with the assumption of a supersymmetric contribution to the muon anomalous magnetic moment, we establish bounds on the size of the lepton flavor violating soft masses in the MSSM largely independent of assumptions about other supersymmetric parameters. If the deviation measured at Brookhaven National Laboratory is from supersymmetry, we find the bounds in m(e mu)(2)/(m) over bar (2)less than or similar to2 x 10(-4) and in m(2)tau mu/(m) over bar (2)less than or similar to1 x 10(-1), where (m) over bar (2) is the mass of the heaviest particle in any loop that contributes at this level to the anomalous magnetic moment of the muon. This provides a significant constraint on the non- flavor- blind mediation of supersy=etry breaking that often occurs at a suppressed level in many models, including gaugino mediation.