Abstract:
The branching fractions of $\tau$ lepton decays with the production of strange scalar mesons both in the ground and first radially excited states $\tau^- \to \nu_\tau [K^*_0(700)^-, K^*_0(1430)^-]$ and $\tau^- \to \nu_\tau [K^*_0(700)^-\pi^0, K^*_0(1430)^- \pi^0, K^*_0(700)^- K^0, K^*_0 (700)^- \eta]$ are calculated in the extended $U(3) \times U(3)$ chiral quark Nambu–Jona–Lasinio model. All mesons are considered as $q\bar {q}$ systems. The obtained results should be considered as predictions for future experiments.