Searches for Lepton Flavor Violation in the Decaysτ±→e±γandτ±→μ±γ

Searches for lepton-flavor-violating decays of a $\ensuremath{\tau}$ lepton to a lighter mass lepton and a photon have been performed with the entire data set of $(963\ifmmode\pm\else\textpm\fi{}7)\ifmmode\times\else\texttimes\fi{}{10}^{6}\text{ }\text{ }\ensuremath{\tau}$ decays collected by the BABAR detector near the $\ensuremath{\Upsilon}(4S)$, $\ensuremath{\Upsilon}(3S)$ and $\ensuremath{\Upsilon}(2S)$ resonances. The searches yield no evidence of signals and we set upper limits on the branching fractions of $\mathcal{B}({\ensuremath{\tau}}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}{e}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\gamma})<3.3\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}8}$ and $\mathcal{B}({\ensuremath{\tau}}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\gamma})<4.4\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}8}$ at 90% confidence level.

Searches for Lepton Flavor Violation in the Decaysτ±→e±γandτ±→μ±γ | Litlas