The decay $\tau\rightarrow f_1 \pi \nu_\tau$ in the Nambu--Jona-Lasinio model

TL;DR

This paper predicts the decay width of tau to f1 pi nu_tau using the NJL model with axial-vector mesons, aligning well with recent BaBar measurements.

Contribution

It demonstrates that including the π-a1 transition in the NJL model accurately predicts the tau decay width observed experimentally.

Findings

Prediction matches BaBar data

π-a1 transition significantly impacts results

NJL model effectively describes tau decay

Abstract

The width of the decay $\tau\rightarrow f_1 \pi \nu_\tau$ has recently been measured by the BaBar experiment. The estimation of this width is given in the framework of the NJL model with the axial-vector mesons. Prediction is in agreement with the experimental data. It is shown that the $\pi-a_1$ transition contribution plays an important role and allows us to bring the NJL prediction to the data.