The decays $\tau \to [K^{-}{K}^0{\pi }^0,K^{-}{K}^{+}{\pi }^{-},K^0\overline{K^0}{\pi }^{-}]{\nu }_{\tau }$ in the NJL quark model

Abstract

The $\tau$ lepton decays $\tau \to [K^{-}{K}^0{\pi }^0,K^{-}{K}^{+}{\pi }^{-},K^0\overline{K^0}{\pi }^{-}]{\nu }_{\tau }$ are described in the $U(3)\times U(3)$ NJL quark model. The contact channel and intermediate channels with axial-vector, vector and pseudoscalar mesons are taken into account. It is shown that the strange scalar meson $K_0^{\ast }$ plays an important role in these processes in addition to the intermediate vector meson $K^{\ast }$. The obtained results are in satisfactory agreement with the recent experimental data within the experimental and theoretical uncertainties.

arXiv comment6 pages, 2 figures