Decays of $\tau \rightarrow \rho(770) (\rho'(1450)) \nu_\tau$ and $\tau \rightarrow K^{*}(892) (K^{*'}(1410)) \nu_\tau$ in the extended Nambu - Jona- Lasinio model

TL;DR

This paper calculates the decay widths of tau lepton decays into vector mesons using the extended Nambu-Jona-Lasinio model, with results aligning well with experimental data for certain channels.

Contribution

It provides new theoretical estimates of tau decay widths into rho and K* mesons within the extended NJL model, including both ground and excited states.

Findings

Decay widths for tau to K* mesons agree with experimental data.

Decay widths for tau to rho mesons are calculated.

The extended NJL model effectively describes these decay processes.

Abstract

In the extended Nambu - Jona - Lasinio model the decay widths $\tau \rightarrow \rho(770) (\rho'(1450)) \nu_\tau$ and $\tau \rightarrow K^{*}(892) (K^{*'}(1410)) \nu_\tau$ are studied in the quark one -loop approximation. Our estimations of the decay widths $\tau \rightarrow K^{*}(892) (K^{*'}(1410)) \nu_\tau$ are in satisfactory agreement with experimantal data. In the paper, the decay widths $\tau \rightarrow \rho(770) (\rho'(1450)) \nu_\tau$ are also calculated.