The $\tau\rightarrow\bar{K}^{*0}(892)\pi^{-}\nu_\tau$ Decay in the Nambu–Jona-Lasinio Model

Abstract

The width of the $\tau\rightarrow\bar{K}^{*0}(892)\pi^{-}\nu_\tau$ decay is calculated within the Nambu–Jona-Lasinio model taking into account four channels of the formation of the $\tau\rightarrow\bar{K}^{*0}(892)\pi^{-}$ pair—the contact interaction and three channels with intermediate axial-vector, vector, and pseudoscalar mesons. Leading contributions arise from the contact interaction and axial-vector channel with an intermediate ground-state K₁(1270) meson. Our theoretical estimate adequately reproduces the measured $\tau\rightarrow\bar{K}^{*0}(892)\pi^{-}\nu_\tau$ decay width.