Search for Lepton Flavor Violating Decays \tau^\pm \to l^\pm\omega (l = e, \mu)

We have searched for lepton flavor violating decays of a $\tau$ to a lighter-mass charged lepton and an $\omega$ vector mesonusing 384.1 $f{b}^{-}$ 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 ${\cal B}(\tau^{\pm} \to $\mathrm{e}$^{\pm} \omega) < 1.1\times10^{-7}$and${\cal B}(\tau^{\pm} \to \mu^{\pm} \omega) < 1.0\times10^{-7}$ at 90% confidence level.