Hadronic $Z\gamma$ Production with QCD Corrections and Leptonic Decays

The process $pp\to Z\gamma +X\to {\mathrm{\ell }}^{-}{\mathrm{\ell }}^{+}\gamma +X$, where $\mathrm{\ell }$ denotes a lepton, is calculated to order ${\alpha }_s$. Total and differential cross sections, with acceptance cuts imposed on the leptons and photon, are given for the Tevatron and LHC center of mass energies. In general, invariant mass and angular distributions are simply scaled up in magnitude by the QCD radiative corrections, whereas in transverse momentum distributions, the QCD radiative corrections increase with the transverse momentum.