The process $e^{+}{e}^{-}\to \nu \bar{\nu }\gamma$ in topcolor-assisted technicolor models

In the context of topcolor-assisted technicolor (TC2) models, we consider the process $e^{+}{e}^{-}\to \nu \bar{\nu }\gamma$ and calculate the cross section of this process at leading order.It is shown that the extra U(1) gauge boson $Z^{\mathrm{\prime }}$ predicted by TC2 models can give significant contributions to the process $e^{+}{e}^{-}\to {\nu }_{\tau }{\bar{\nu }}_{\tau }\gamma$, which may be detected in the future high energy linear $e^{+}{e}^{-}$ collider(LC) experiments.