Improved upper limits on the flavor-changing neutral current decays B → Kℓ+ℓ- and B → K* (892)ℓ+ℓ-

We have searched a sample of 9.6 million BBbar events for the flavor-changing neutral current decays B -> K l^+ l^- and B -> K^*(892) l^+ l^-. We subject the latter decay to the requirement that the dilepton mass exceed 0.5 GeV. There is no indication of a signal. We obtain the 90% confidence level upper limits on the branching fractions Br(B -> K l^+ l^-) K^*(892) l^+ l^-) K l^+ l^-) + 0.35 Br(B -> K^*(892) l^+ l^-) < 1.5 \times 10^{-6}. The weighted-average limit is only 50% above the Standard Model prediction.