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 (g̃MSB), 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 au ≡ (g - 2) u/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 mt̃1), and the stop mixing angle. In the GMSB with a small messenger number, the AMSB, the g̃MSB 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. © SISSA/ISAS 2003.