Calculation of the width of the $\tau \to K^{-} K^{0} \nu_{\tau}$ decay in the extended Nambu–Jona-Lasinio model with estimation of the contribution from the final-state interaction

The partial width of the $\tau \to K^{-} K^{0} \nu_{\tau}$ decay has been calculated within the extended Nambu–Jona-Lasinio model including the contact and vector channels. The contributions from the $\rho$ meson in the ground and first radially excited states have been taken into account in the vector channel. The results are in satisfactory agreement with experimental data. The inclusion of the final-state interaction of kaons results only in insignificant corrections within the accuracy of the model.