Measurement of the B→X_{s}ℓ^{+}ℓ^{-} Branching Fraction with a Sum over Exclusive Modes

We measure the branching fraction for the flavor-changing neutral-current process B→Xsℓ+ℓ- with a sample of 89×106 Υ(4S)→BB̅ events recorded with the BABAR detector at the PEP-II e+e- storage ring. The final state is reconstructed from e+e- or μ+μ- pairs and a hadronic system Xs consisting of one K± or KS0 and up to two pions, with at most one π0. We observe a signal of 40±10(stat)±2(syst) events and extract the inclusive branching fraction B(B→Xsℓ+ℓ-)=(5.6±1.5(stat)±0.6(exp   syst)±1.1(model   syst))×10-6 for mℓ+ℓ->0.2   GeV/c2.