A search for lepton flavor violating decays of a $\tau$ to a lighter-mass charged lepton and an $\omega$ vector meson is performed using $384.1{\mathrm{fb}}^{-1}$ of $e^{+}{e}^{-}$ annihilation data collected with the BABAR detector at the Stanford Linear Accelerator Center PEP-II storage ring. No signal is found, and the upper limits on the branching ratios are determined to be $\mathcal{B}({\tau }^{\pm }\to e^{\pm }\omega )<1.1\times {10}^{-7}$ and $\mathcal{B}({\tau }^{\pm }\to {\mu }^{\pm }\omega )<1.0\times {10}^{-7}$ at 90% confidence level.

• Received 6 November 2007

DOI:https://doi.org/10.1103/PhysRevLett.100.071802