A Search for the $B^0 \to e^+e^-γ$ and $B^0 \to μ^+μ^-γ$ Decays

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With the BaBar detector at the PEP-II asymmetric $B$ Factory at SLAC, we present the first search for the decays $B^0\to\ell^+\ell^-γ$ ($l=e, μ$). Using a data set of 292 $fb^{-1}$ collected at the $Υ(4S)$ resonance, we find no significant signal and set the following branching fraction upper limits at 90% confidence level: $\mathcal{B}(B^0\to e^+e^-γ)<0.7\times 10^{-7}$ and $\mathcal{B}(B^0\to μ^+μ^-γ)<3.4\times 10^{-7}$.
14 pages, 9 figures, submitted to ICHEP2006

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