Abstract
The branching fraction of τ→K⁎−(892)ηντ was calculated in the Nambu–Jona-Lasinio model in the mean field approximation, which corresponds to considering quark loops in the leading order of 1/Nc. Four channels were taken into account: the contact channel (the final states are directly producted from the lepton current without any intermediate meson states), the axial-vector channel with two intermediate physical states K1(1270) and K1(1400), the vector channel with intermediate K⁎(892) meson and the pseudoscalar channel with intermediate K meson. It is shown that the first two channels give the dominant contribution to the decay width. Of the remaining two channels, the pseudoscalar channel plays a more prominent role. The final result is in satisfactory agreement with experimental data. A prediction for the differential decay width is presented.
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