Search for the reactions e+e-→μ+τ- and e+e-→e+τ-

We report on a search for the lepton-flavor-violating processes e+e-→μ+τ- and e+e-→e+τ-. The data sample corresponds to an integrated luminosity of 211  fb-1 recorded by the BABAR experiment at the SLAC PEP-II asymmetric-energy B Factory at a center-of-mass energy of √s=10.58  GeV. We find no evidence for a signal and set the 90% confidence level upper limits on the cross sections to be σμτ<3.8  fb and σeτ<9.2  fb. The ratio of the cross sections with respect to the dimuon cross section are measured to be σμτ/σμμ<3.4×10-6 and σeτ/σμμ<8.2×10-6.