The Decays $$\tau \to [{{K}^{ - }}{{K}^{0}}{{\pi }^{0}},{{K}^{ - }}{{K}^{ + }}{{\pi }^{ - }},{{K}^{0}}{{\bar {K}}^{0}}{{\pi }^{ - }}]{{\nu }_{\tau }}$$ in the NJL Quark Model

Abstract

The $$\tau $$ lepton decays $$\tau \to [{{K}^{ - }}{{K}^{0}}{{\pi }^{0}},{{K}^{ - }}{{K}^{ + }}{{\pi }^{ - }},{{K}^{0}}{{\bar {K}}^{0}}{{\pi }^{ - }}]{{\nu }_{\tau }}$$ 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 $$K_{0}^{*}$$ plays an important role in these processes in addition to the intermediate vector meson $$K{\text{*}}$$ . The obtained results are in satisfactory agreement with the recent experimental data within the experimental and theoretical uncertainties.