The decay $\tau \to K^{*-}(892) \eta \nu_{\tau}$ in the NJL model

TL;DR

This paper calculates the decay width of tau to K* eta nu_tau using the NJL model, considering multiple channels, and finds results consistent with experimental data, providing a differential decay width prediction.

Contribution

The study introduces a comprehensive calculation of the tau decay in the NJL model, including multiple channels and their relative contributions, with predictions aligning with experimental observations.

Findings

The axial-vector channels dominate the decay width.

The pseudoscalar channel has a significant contribution among secondary channels.

The calculated decay width agrees with experimental data.

Abstract

The decay width $\tau \to K^{*-}(892) \eta \nu_{\tau}$ was calculated in the Nambu--Jona-Lasinio model. Four channels were taken into account: the contact channel (the final states are directly producted from lepton current without any intermediate meson states), the axial-vector channel with two intermediate physical states $K_{1}(1270)$ and $K_{1}(1400)$, the vector channel with intermediate $K^{*}(892)$ meson and the pseudoscalar channel with intermediate $K$ meson. It is shown that the first two channels give the dominant contribution to the decay width. Of the remaining two channels, the pseudoscalar channel plays a more prominent role. The final result is in satisfactory agreement with experimental data. Prediction for the differential decay width is presented.