Decays τ → (η, η')K–ντ in the extended Nambu–Jona-Lasinio model

Abstract

The decays τ → (η, η')K–ντ are described in the framework of the extended Nambu–Jona-Lasinio model. Both full and differential widths of these decays are calculated. The vector and scalar channels are considered. In the vector channel, the subprocesses with the intermediate K*(892) and K*(1410) mesons play the main role. In the scalar channel, the subprocesses with the intermediate and K0*(800) and K0*(1430) mesons are taken into account. The scalar channel gives an insignificant contribution to the full width of the decay τ → ηK–ντ. The obtained results are in satisfactory agreement with the experimental data. The prediction for the width of the process τ → η′K–ντ is made.