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 $(g-2{)}_{\mu }$, $B\to X_s\gamma$, $B\to X_s{l}^{+}{l}^{-}$ and $B_s\to {\mu }^{+}{\mu }^{-}$ in various SUSY breaking mediation mechanisms: minimal supergravity (mSUGRA), gauge mediation (GMSB), anomaly mediation (AMSB), gaugino mediation ($\tilde{g}$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 $B\to X_s\gamma$ branching ratio, we find all the scenarios can accommodate the $a_{\mu }\equiv (g-2{)}_{\mu }/2$ in the range of (a few tens)$\times 10^{-10}$, and predict that the branching ratio for $B\to X_s{l}^{+}{l}^{-}$ can differ from the standard model (SM) prediction by $\pm 20$ but no more. On the other hand, the $B_s\to {\mu }^{+}{\mu }^{-}$ is sensitive to the SUSY breaking mediation mechanisms through the pseudoscalar and stop masses ($m_A$ and $m_{{\tilde{t}}_1}$), and the stop mixing angle. In the GMSB with a small messenger number, the AMSB, the $\tilde{g}$MSB and the noscale scenarios, one finds that $B(B_s\to {\mu }^{+}{\mu }^{-})\lesssim 2\times 10^{-8}$, 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.

Comments: 40 pages, 21 figures (to appear in JHEP)