SUSY breaking mediation mechanisms and (g−2)μ, B→Xsγ, B→Xsl+l− and Bs→μ+μ−

Abstract

We show that there are qualitative differences in correlations among (g−2)μ, B→Xsγ, B→Xsl+l− and Bs→μ+μ− in various SUSY breaking mediation mechanisms: minimal supergravity (mSUGRA), gauge mediation (GMSB), anomaly mediation (AMSB), gaugino mediation ( ˜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→Xsγ branching ratio, we find all the scenarios can accommodate the aμ≡(g−2)μ/2 in the range of (a few tens) × 10−10, and predict that the branching ratio for B→Xsl+l− can differ from the standard model (SM) prediction by ±20% but no more. On the other hand, the Bs→μ+μ− is sensitive to the SUSY breaking mediation mechanisms through the pseudoscalar and stop masses ( mA and m˜t1), and the stop mixing angle. In the GMSB with a small messenger number, the AMSB, the ˜MSB and the noscale scenarios, one finds that B(Bs→μ+μ−)≲2 × 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.