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We report on an analysis of $\tau^-$ decaying into $\omega\pi^-\nu_\tau$ with$\omega\to\pi^+\pi^-\pi^0$ using data containing nearly 320 million tau pairscollected with the BABAR detector at the PEP-II asymmetric energy $B$-Factory.We find no evidence for second-class currents and set an upper limit at 0.69%at a 90% confidence level for the ratio of second- to first-class currents.

Search for Second-Class Currents in tau- -> omega pi- nu_tau