More model-independent analysis of b⃗s processes

We study model-independently the implications of nonstandard scalar and pseudoscalar interactions for the decays b⃗sγ, b⃗sg, b⃗sl⁺l^- (l=e,μ) and B_s→μ⁺μ^-. We find sizable renormalization effects from scalar and pseudoscalar four-quark operators in the radiative decays and at O(α_s) in hadronic b decays. Constraints on the Wilson coefficients of an extended operator basis are worked out. Further, the ratios R_H=B(B⃗Hμ⁺μ^-)/B(B⃗He⁺e^-), for H=K^(*),X_s, and their correlations with the B_s→μ⁺μ^- decay are investigated. We show that the standard model prediction for these ratios defined with the same cut on the dilepton mass for electron and muon modes, R_H=1+O(m_μ²/m_b²), has a much smaller theoretical uncertainty (≲1%) than the one for the individual branching fractions. The present experimental limit R_K<~1.2 puts constraints on scalar and pseudoscalar couplings, which are similar to the ones from current data on B(B_s→μ⁺μ^-). We find that new physics corrections to R_K^* and R_Xs can reach 13% and 10%, respectively.