2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184108It is pointed out that there is a strong correlation between the neutralino dark matter scattering cross section $σ_{\tildeχ p}$ and the branching ratio for $B_s \to μ^+ μ^-$ within minimal supergravity (mSUGRA) and its extensions. This correlation arises mainly from $\tanβ$ and heavy neutral Higgs mass dependence, and shows a nice interplay between vastly different two observables within supersymmetric models. Current upper limit on $B(B_s \to μ^+ μ^-) < 5.8 \times 10^{-7}$ excludes substantial parameter space where $σ_{\tildeχ p}$ is within the CDMS sensitivity region.version to appear in JHEPHigh Energy Physics - Phenomenologytext