# The decays $\tau\rightarrow (K, K(1460))\nu_{\tau}$ and the value of the weak decay coefficients ${F}_{K}$ and ${{F}_{{K}^{'}}}$ in the extended NJL model

## TL;DR

This paper calculates decay widths of tau lepton decays involving kaons within the extended NJL model, accounting for intermediate mesons and estimating weak decay constants, providing predictions for unmeasured decay processes.

## Contribution

It introduces a detailed calculation of tau decay widths and weak decay constants using the extended NJL model, including contributions from multiple meson states.

## Key findings

- Calculated decay widths for $ au
ightarrow (K, K(1460))
u_{ au}$
- Estimated weak decay constants ${F}_{K}$ and ${F}_{{K}^{'}}$
- Predicted decay width for $ au
ightarrow K(1460)
u_{ au}$

## Abstract

In the extended NJL model, the decay widths of $\tau\rightarrow (K, K(1460))\nu_{\tau}$, $(K, K(1460))\rightarrow {\mu}\nu_{\mu}$ are calculated. The contributions from intermediate axial-vector mesons ${K}_{1}(1270)$, ${K}_{1}(1400)$ and the first radially excited state ${K}_{1}(1650)$ are taken into account. Estimates for the weak decay coefficients ${F}_{K}$ and ${{F}_{{K}^{'}}}$ are given. Predictions are made for the width of $\tau\rightarrow K(1460)\nu_{\tau}$ decay and ${{F}_{{K}^{'}}}$ constant.