Electronic branching ratio of theτlepton

Abstract

Using data accumulated by the CLEO I detector operating at the Cornell Electron Storage Ring, we have measured the ratio $R=\frac{\ensuremath{\Gamma}(\ensuremath{\tau}\ensuremath{\rightarrow}e{\overline{\ensuremath{\nu}}}_{e}{\ensuremath{\nu}}_{\ensuremath{\tau}})}{{\ensuremath{\Gamma}}_{1}}$ where ${\ensuremath{\Gamma}}_{1}$ is the $\ensuremath{\tau}$ decay rate to final states with one charged particle. We find $R=0.2231\ifmmode\pm\else\textpm\fi{}0.0044\ifmmode\pm\else\textpm\fi{}0.0073$ where the first error is statistical and the second is systematic. Together with the measured topological one-charged-particle branching fraction, this yields the branching fraction of the $\ensuremath{\tau}$ lepton to electrons, ${B}_{e}=0.192\ifmmode\pm\else\textpm\fi{}0.004\ifmmode\pm\else\textpm\fi{}0.006$.

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