SUSY breaking mediation mechanisms and (g-2)mu, B -> X-s gamma, B -> X(s)l(+)l(-) and B-s -> mu(+)mu(-)

Abstract

We show that there are qualitative differences in correlations among (g - 2)(mu), B --> X-s gamma, B --> X(s)l(+)l(-) and B-s --> mu(+)mu(-) in various SUSY breaking mediation mechanisms: minimal supergravity (mSUGRA), gauge mediation (GMSB), anomaly mediation (AMSB), gaugino mediation ((g) over tilde MSB), weakly and strongly interacting string theories, and D brane models. After imposing the direct search limits on the Higgs boson and SUSY particle search limits and B --> X(s)gamma branching ratio, we find all the scenarios can accommodate the a(mu) = (g - 2)(mu)/2 in the range of (a few tens) x 10(-10), and predict that the branching ratio for B --> X(s)l(+)l(-) can differ from the standard model (SM) prediction by +/-20% but no more. On the other hand, the B-s --> mu(+)mu(-) is sensitive to the SUSY breaking mediation mechanisms through the pseudoscalar and stop masses (m(A) and m((t) over tilde1)), and the stop mixing angle. In the GMSB with a small messenger number, the AMSB, the (g) over tilde MSB and the noscale scenarios, one finds that B(B-s --> mu(+)mu(-)) less than or similar to 2 x 10(-8), which is below the search limit at the Tevatron Run II. Only the mSUGRA or string inspired models can generate a large branching ratio for this decay.