$\tau \to K^{-} \pi^{0} \nu_{\tau}$ decay in the Nambu–Jona-Lasinio model including the final-state interaction of mesons

The $\tau \to {{K}^{ - }}{{\pi }^{0}}{{\nu }_{\tau }}$ decay has been described within the Nambu–Jona-Lasinio model including the contact term and the contribution from an intermediate vector meson. The final-state interaction of mesons has been taken into account by the inclusion of diverging meson loops. The additional ultraviolet cutoff parameter in these loops is fixed using the experimental width of the process under consideration.