Probing the messenger of supersymmetry breaking by the muon anomalous magnetic moment

Motivated by the recently measured muon anomalous magnetic moment a_μ, we examine the supersymmetry contribution to a_μ in various mediation models of supersymmetry breaking which lead to predictive flavor conserving soft parameters at high energy scale. The studied models include dilaton or modulus-mediated models in heterotic string or M theory, gauge-mediated model, no-scale or gaugino-mediated models, and also the minimal and deflected anomaly-mediated models. For each model, the range of a_μ^SUSY allowed by other experimental constraints, e.g., b→s γ and the collider bounds on superparticle masses, is obtained together with the corresponding parameter region of the model. Gauge-mediated models with a low messenger scale can give any a_μ^SUSY within the 2σ bound. In many other models, b→s γ favors a_μ^SUSY smaller than either the - 1σ value (26×10^-10) or the central value (42×10^-10).