  We present the one-loop QCD corrections to the helicity amplitudes for the
processes $q\qb \to W^+ W^-, Z Z, W^\pm Z, W^\pm \gamma$, or $Z \gamma$,
including the subsequent decay of each massive vector boson into a pair of
leptons. We also give the corresponding tree-level amplitudes with an
additional gluon radiated off the quark line. Together, these amplitudes
provide all the necessary input for the calculation of the next-to-leading
order QCD corrections to the production of any electroweak vector boson pair at
hadron colliders, including the full spin and decay angle correlations.
