The processes $p\stackrel{\left(-\right)}{p}\to Z\gamma +\overrightarrow{X}{\mathcal{l}}^{+}{\mathcal{l}}^{-}\gamma +X$ $(\mathcal{l}=e,\mu )$ and $p\stackrel{\left(-\right)}{p}\to Z\gamma +\overrightarrow{X}\overline{\nu }\nu \gamma +X$ are calculated to $\mathcal{O}\left({\alpha }_s\right)$ for general $\mathrm{ZZ}\gamma$ and $Z\gamma \gamma$ couplings. The impact of $\mathcal{O}\left({\alpha }_s\right)$ QCD corrections on the observability of $\mathrm{ZZ}\gamma$ and $Z\gamma \gamma$ couplings in $Z\gamma$ production at the Fermilab Tevatron and the CERN Large Hadron Collider (LHC) is discussed.

• Received 21 October 1997

DOI:https://doi.org/10.1103/PhysRevD.57.2823