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We present the results of a search for the b→dℓ^+ℓ^- flavor-changing neutral-current rare decays B^+, 0→ (η, ω, π^+, 0, ρ^+, 0) e^+e^- and B^+, 0→ (η, ω, π^0, ρ^+) μ^+μ^- using a 711 fb^-1 data sample that contains 772×10^6 BBover ¯ events. The data were collected at the ϒ (4S) resonance with the Belle detector at the KEKB asymmetric-energy e^+e^- collider. We find no evidence for signal and set upper limits on branching fractions at the 90% confidence level in the range (3. 8-47) ×10^-8 depending on the decay channel. The obtained limits are the world's best results. This is the first search for the channels B^+, 0→ (ω, ρ^+, 0) e^+e^- and B^+, 0→ (ω, ρ^+) μ^+μ^-.
Adachi et al. (Thu,) studied this question.