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We establish a correspondence between those Feynman diagrams in the MSSMwhich give supersymmetric contributions to the muon anomalous magnetic momentand those which contribute to the flavor violating processes $\mu --> e\gamma$and $\tau --> \mu\gamma$. Using current experimental limits on the branchingratios of these decay modes, combined with the assumption of a supersymmetriccontribution to the muon anomalous magnetic moment, we establish bounds on thesize of the lepton flavor violating soft masses in the MSSM largely independentof assumptions about other supersymmetric parameters. If the deviation measuredat Brookhaven National Laboratory is from supersymmetry, we find the bounds${m^2}_{e \mu}/ {{\bar{m}}^2} \lsim 2 \times 10^{-4}$ and ${m^2}_{\tau \mu}/{{\bar{m}}^2} \lsim 1 \times 10^{-1}$, where ${\bar{m}}^2$ is the mass of theheaviest particle in any loop that contributes at this level to the anomalousmagnetic moment of the muon. This provides a significant constraint on thenon-flavor-blind mediation of supersymmetry breaking that often occurs at asuppressed level in many models, including gaugino mediation.Comment: 25 pages, 6 figure

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