Search for Decays of B0→e+e-, B0→μ+μ-, B0→e±μ∓

We present a search for the decays B⁰→e⁺e^-, B⁰→μ⁺μ^-, and B⁰→e^±μ^∓ in data collected at the Υ(4S) resonance with the BABAR detector at the SLAC B Factory. Using a data set of 111 fb^-1, we find no evidence for a signal in any of the three channels investigated and set the following branching fraction upper limits at the 90% confidence level: B(B⁰→e⁺e^-)<6.1×10^-8, B(B⁰→μ⁺μ^-)<8.3×10^-8, and B(B⁰→e^±μ^∓)<18×10^-8.