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The hadronization structure of $\tau^- \to \eta \pi^- \pi^0 \nu_\tau$ decaysis analyzed using Chiral Perturbation Theory with resonances, considering onlythe contribution of the lightest meson resonances at leading order in the$1/N_C$ expansion. After imposing the asymptotic behavior of vector spectralfunctions ruled by QCD, unknown effective couplings are determined by fittingthe $\tau^- \to \eta \pi^- \pi^0 \nu_\tau$ branching ratio and decay spectrumto recent data. Predictions for the partner decay $\tau^- \to \eta^\prime \pi^-\pi^0 \nu_\tau$ and the low-energy behavior of the cross section $\sigma(e^+e^-\to \eta\pi^+\pi^-)$ are also discussed.

Resonance Chiral Lagrangian analysis of $\tau^- \to \eta^{(\prime)} \pi^- \pi^0 \nu_\tau$ decays