The decays $\tau \to (\eta ,{\eta }^{\prime })K^{-}{\nu }_{\tau }$ in the extended Nambu-Jona-Lasinio model

Abstract

The decays $\tau \to (\eta ,{\eta }^{\prime })K^{-}{\nu }_{\tau }$ 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 channels, the subprocesses with intermediate $K^{\ast }(892)$ and $K^{\ast }(1410)$ mesons play the main role. In the scalar channels, the subprocesses with intermediate $K_0^{\ast }(800)$ and $K_0^{\ast }(1430)$ mesons are taken into account. Scalar channels play a less important role in calculation of the full width of the decay $\tau \to (\eta ,{\eta }^{\prime })K^{-}{\nu }_{\tau }$. The obtained results are in satisfactory agreement with the experimental data.

Comments: 8 pages, 4 figures