The decay τ→K−π0νττ\rightarrow K^{-}π^{0}ν_τ in the Nambu-Jona-Lasinio model

preprint2016arXivOpen access

Abstract

In this paper, the width of the decay τ→K−π0νττ\rightarrow K^{-}π^{0}ν_τ is calculated in the framework of the Nambu-Jona-Lasinio model. The contributions of the intermediate vector K∗(892)K^{*}(892) and scalar K0∗(800)K_{0}^{*}(800) mesons are taken into account. It is shown that the main contribution to the width of this decay is given by the subprocesses with the intermediate WW-boson and vector K∗(892)K^{*}(892) meson. The scalar channel with the intermediate K0∗(800)K_{0}^{*}(800) meson gives an insignificant contribution. In Appendix, it is shown that the contribution of the subprocess with the intermediate K∗′(1410){K^{*}}'(1410) meson is negligible as well. The obtained results are in satisfactory agreement with the experimental data.

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