Neutralino dark matter scattering and $B_s\to {\mu }^{+}{\mu }^{-}$ in SUSY models

Abstract

It is pointed out that there is a strong correlation between the neutralino dark matter scattering cross section ${\sigma }_{\tilde{\chi }p}$ and the branching ratio for $B_s\to {\mu }^{+}{\mu }^{-}$ within minimal supergravity (mSUGRA) and its extensions. This correlation arises mainly from $\tan \beta$ and heavy neutral Higgs mass dependence, and shows a nice interplay between vastly different two observables within supersymmetric models. Current upper limit on $B(B_s\to {\mu }^{+}{\mu }^{-})<5.8\times 10^{-7}$ excludes substantial parameter space where ${\sigma }_{\tilde{\chi }p}$ is within the CDMS sensitivity region.

Comments: version to appear in JHEP