Search for decays of B0 mesons into pairs of charged leptons: B0->e+e-, B0->mu+mu-, B0->e+-mu-+

We present a search for the decays B0->e+e-, B0->mu+mu-, and B0->e+- mu-+ in data collected at the Y(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-)mu+mu-) e+-mu-+) < 18 x 10^-8