Studying of B_s^0-\bar{B}_s^0 mixing and B_{s}\to K^{(*)-}K^{(*)+} decays within supersymmetry

Abstract

Recent results from CDF and DØ collaborations favor a large CP asymmetry in B_s^0-\bar{B}_s^0 mixing, while the standard model prediction is very small. Such a large phase may imply sizable new physics effects in B_s^0-\bar{B}_s^0 mixing. We compute the gluino-mediated supersymmetry contributions to B_s^0-\bar{B}_s^0 mixing, B_s->K^{(*)-}K^{(*)+} and B->X_sγdecays in the frame of the mass insertion approximation. Combining the constraints of \DeltaM_s, ΔΓ_s, ϕ^{J/ψϕ}_s, B(B_s->K^{-}K^{+}) and B(B->X_s γ), we find that the effects of the constrained LL and RR insertions in B_s->K^{(*)-}K^{(*)+} decays are small because of the absence of gluino mass enhancement. For m^2_{\tilde{g}}/m^2_{\tilde{q}}=9, the constrained LR insertion can provide sizable contributions to all observables of B_s->K^{(*)-}K^{(*)+} decays except A^{dir}_{CP}(B_s->K^{-}K^{+}), and many observables are sensitive to the modulus and the phase of the LR insertion parameter. Near future experiments at Fermilab Tevatron and CERN LHC-b can test these predictions and shrink/reveal the mass insertion parameter spaces.