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We search for CP non-conservation in the decays of tau leptons produced via$e^+ e^-$ annihilation at $\sqrt{s}\sim$ 10.6 GeV. The method uses correlateddecays of pairs of tau leptons, each decaying to the $\pi \pi^0 \nu_{\tau}$final state. The search is done within the framework of a model with a scalarboson exchange. In an analysis of a data sample corresponding to 12.2 millionproduced tau pairs collected with the CLEO detector, we find no evidence ofviolation of CP symmetry. We obtain a limit on the imaginary part of thecoupling constant parameterizing the relative contribution of diagrams thatwould lead to CP violation to be $-0.046 <\Im(\Lambda) < 0.022$ at 90% C.L.This result provides a restriction on CP non-conservation in the tau leptondecays. As a cross check, we study the decay angular distribution and perform amodel-independent search for a CP violation effect of a scalar exchange insingle $\tau\to \pi\pi^0\nu_\tau$ decays. The limit on the imaginary part ofthe $\tau$ scalar coupling is $-0.033 < \Im(\Lambda) < 0.089$ at 90% C.L.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

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