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We study the $\tau \to \nu_\tau A$ decay, with $A$ an axial-vector meson. Weproduce the $a_1(1260)$ and $b_1(1235)$ resonances in the Cabibbo favored modeand two $K_1(1270)$ states in the Cabibbo suppressed mode. We take advantage ofprevious chiral unitary approach results where these resonances appeardynamically from the vector and pseudoscalar meson interaction in s-wave.Actually two different poles were obtained associated to the $K_1(1270)$quantum numbers. We find that the unmeasured rates for $b_1(1235)$ productionare similar to those of the $a_1(1260)$ and for the two $K_1$ states we suggestto separate the present information on the $\bar K \pi \pi$ invariant massesinto $\bar K^* \pi$ and $\rho K$ modes, the channels to which these tworesonances couple most strongly, predicting that these modes peak at differentenergies and have different widths. These measurements should shed light on theexistence of these two $K_1$ states.

Tau decay into $\nu_\tau$ and $a_1(1260)$, $b_1(1235)$, and two $K_1(1270)$