Chiral perturbation theory forτ→ρπντ,τ→K*πντ, andτ→ωπντ

We use heavy vector meson $\mathrm{SU}{\mathrm{}\left(2\right)\mathrm{}}_L\times \mathrm{SU}{\mathrm{}\left(2\right)\mathrm{}}_R$ chiral perturbation theory to predict differential decay distributions for $\tau \to \rho \pi {\nu }_{\tau }$ and $\tau \to K^{*}\pi {\nu }_{\tau }$ in the kinematic region where $\frac{p_V·p_{\pi }}{m_V}$ (here $V=\rho or K^{*}$) is much smaller than the chiral symmetry-breaking scale. We also predict the rate for $\tau \to \omega \pi {\nu }_{\tau }$ in this region (now $V=\omega$). Comparing our prediction with experimental data, we determine one of the coupling constants in the heavy vector meson chiral Lagrangian.