Abstract
We present searches for rare charm decays of the form , where is a charm hadron either , , or , and is an electron or muon. These modes are based on 384 of annihilation data collected at the resonance with the BABAR detector at the SLAC National Accelerator Laboratory. We also present the flavor-changing neutral-current decays , , and that corresponds to an integrated luminosity of 468 of data. The decay is further lepton-flavor violating, and thus occur only through very slow neutrino mixing. These decays constitute sensitive probes for possible new-physics contribution. We report new limits on the branching fractions of these decays.
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