Three-meson $\tau$ decays involving kaons and $\eta$ mesons in the NJL model

TL;DR

This paper calculates branching fractions for specific tau decay modes involving kaons and eta mesons using the NJL model, showing good agreement with experimental data.

Contribution

It introduces a detailed calculation of tau decay modes involving kaons and eta mesons within the NJL model, emphasizing the axial vector channel's dominance.

Findings

Axial vector channel is dominant in these decays.

Results agree satisfactorily with experimental measurements.

Provides detailed branching fraction predictions for multiple decay modes.

Abstract

Branching fractions of decays $\tau \to K^0 \pi^- \eta\nu_\tau$, $\tau \to K^- \pi^0 \eta\nu_\tau$, $\tau \to K^-K^0 \eta\nu_\tau$ and $\tau \to K^- \eta \eta \nu_\tau$ are calculated in the $U(3)\times U(3)$ chiral NJL quark model. The contact, vector, axial-vector and pseudoscalar channels are considered. It is shown that the axial vector channel is dominant. The obtained results are in satisfactory agreement with experiment.