The decays $\tau \to a_{1} \pi \nu_\tau$, $\tau \to K_{1} \pi \nu_\tau$ and $\tau \to K_{1} K \nu_\tau$ in the extended $U(3)\times U(3)$ chiral NJL model

TL;DR

This paper predicts the branching fractions of specific tau lepton decays using an extended chiral NJL model, providing theoretical results in the absence of experimental data.

Contribution

The study applies an extended $U(3) imes U(3)$ chiral NJL model to calculate decay branching fractions, offering novel theoretical predictions for these tau decays.

Findings

Predicted branching fractions for $ au o a_1 o ext{final states}$ decays.

Predictions for $ au o K_1 o ext{final states}$ decays.

Comparison with other theoretical models' results.

Abstract

The branching fractions of the decays $\tau \to a_{1} \pi \nu_\tau$, $\tau \to K_{1} \pi \nu_\tau$ and $\tau \to K_{1} K \nu_\tau$ are calculated in the framework of the extended $U(3)\times U(3)$ chiral Nambu--Jona-Lasinio model. There are no experimental data for these decays in the present time, thus the obtained results are considered as predictions. The comparison of these results to the theoretical results of other authors is carried out.