The process $p\stackrel{\left(¯\right)}{p}\to W^{\pm }\gamma +X\to {\ell }^{\pm }\nu \gamma +X$ is calculated to $O\left({\alpha }_s\right)$ for general $\mathrm{CP}$-conserving $\mathrm{WW}\gamma$ couplings. At the Fermilab Tevatron center-of-mass energy, the QCD corrections to $W\gamma$ production are modest, and the Born and inclusive $O\left({\alpha }_s\right)$ cross sections have similar sensitivities to the effects of anomalous couplings. At supercollider energies, the inclusive QCD corrections are large at high photon transverse momenta, reducing the sensitivity to nonstandard $\mathrm{WW}\gamma$ couplings by up to a factor 2. The size of the QCD corrections can be reduced significantly, and a large fraction of the sensitivity lost can be regained, if a jet veto is imposed.

• Received 25 May 1993

DOI:https://doi.org/10.1103/PhysRevD.48.5140