  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.
