The tetraquark $K_{1}(1400)$ in the decays $\tau \to [\omega(782), \phi(1020)] K^{-} \nu_{\tau}$

TL;DR

This paper calculates decay widths of tau lepton processes involving omega and phi mesons using an extended NJL model, considering various intermediate states including a possible tetraquark candidate, and finds results consistent with experimental data.

Contribution

It introduces the tetraquark $K_{1}(1400)$ as an intermediate state in tau decays within the extended NJL model, providing new insights into meson structure and decay mechanisms.

Findings

Decay width for $ au o \omega(782) K^{-} u_{ au}$ matches experimental data.

Decay width for $ au o \phi(1020) K^{-} u_{ au}$ agrees within 1.3 sigma of experimental data.

Inclusion of the tetraquark $K_{1}(1400)$ as an intermediate state improves decay predictions.

Abstract

In the extended Nambu--Jona-Lasinio model, the decay widths of the processes $\tau \to [\omega(782), \phi(1020)] K^{-} \nu_{\tau}$ were calculated. The intermediate strange quark-antiquark mesons in both the ground and the first radially excited states were taken into account. The meson $K_{1}(1400)$, being a possible candidate for the role of the tetraquark meson, was also taken into account as an intermediate state. The result for the process $\tau \to \omega(782) K^{-} \nu_{\tau}$ is in satisfactory agreement with the experimental data. Simultaneously, the result for the decay $\tau \to \phi(1020) K^{-} \nu_{\tau}$ is in agreement with the experimental data with precision $1.3 \sigma$.