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We update the branching ratios for the inclusive decays B→ X_s ℓ^+ ℓ^- and the exclusive decays B→ (K,K^*) ℓ^+ ℓ^-, with ℓ=e, , in the standard model by including the explicit O(_s) and Λ_ QCD / m_b corrections. This framework is used in conjunction with the current measurements of the branching ratios for B→ X_s and B→ K ℓ^+ ℓ^- decays and upper limits on the branching ratios for the decays B→ (K^*,X_s) ℓ^+ ℓ^- to work out bounds on the Wilson coefficients C_7, C_8, C_9 and C_10 appearing indoi:10.1103/physrevd.66.034002 fatcat:seg3wxudengttcqwlz74njylde