The decay $\tau \rightarrow K^{-}\pi^{0}\nu_{\tau}$ in the Nambu-Jona-Lasinio model

TL;DR

This paper calculates the decay width of tau to K pi neutrino using the Nambu-Jona-Lasinio model, highlighting the dominant role of the vector K*(892) meson and confirming results align with experimental data.

Contribution

The study applies the Nambu-Jona-Lasinio model to analyze tau decay, including intermediate mesons, providing a detailed theoretical prediction consistent with experiments.

Findings

Main contribution from W-boson and K*(892) meson subprocesses.

Scalar K0*(800) contribution is negligible.

K*(1410) contribution is also negligible.

Abstract

In this paper, the width of the decay $\tau \rightarrow K^{-}\pi^{0}\nu_{\tau}$ is calculated in the framework of the Nambu-Jona-Lasinio model. The contributions of the intermediate vector $K^{*}(892)$ and scalar $K_{0}^{*}(800)$ mesons are taken into account. It is shown that the main contribution to the width of this decay is given by the subprocesses with the intermediate $W$-boson and vector $K^{*}(892)$ meson. The scalar channel with the intermediate $K_{0}^{*}(800)$ meson gives an insignificant contribution. In Appendix, it is shown that the contribution of the subprocess with the intermediate ${K^{*}}'(1410)$ meson is negligible as well. The obtained results are in satisfactory agreement with the experimental data.