Implications of $\bar{\nu}_{e}e^{-}\to W^{-}\gamma$ for high-energy $\bar{\nu}_e$ observation

Absorption of high-energy $\bar{\nu}_e$ over electrons above the W boson production threshold is reexamined. It is pointed out that, in the case of photon emissions along the direction of incident high-energy $\bar{\nu}_e$, the kinematically allowed average energy carried by the final state hard photon can be $\leq 1$ of the incident $\bar{\nu}_e$ energy above the W boson production threshold. The differential energy spectrum for the final state hard photon is calculated. We also discuss implications of our results for the prospective search of high-energy $\bar{\nu}_e$ through this final state hard photon.