The paper presents numerical results for vector boson pair production at hadron colliders, including full one-loop QCD corrections. The processes considered are $pp \rightarrow W^+ W^-$, $W^\pm Z/\gamma^*$, and $Z/\gamma^* Z/\gamma^*$, followed by the decay of the massive vector bosons into leptons. These processes are important for testing the Standard Model and as backgrounds for non-standard model processes. The authors use a Monte Carlo program, MCFM, to calculate the total cross sections for these processes at $\sqrt{s} = 2$ TeV (Tevatron Run II) and $\sqrt{s} = 14$ TeV (LHC), incorporating the latest parton distributions and electroweak input. They compare their results with existing literature and provide practical examples of the use of their calculations, such as estimating Standard Model backgrounds for new physics searches. The paper also discusses the importance of including spin correlations and beyond the zero-width approximation in the calculations. Finally, the authors present two examples of using their Monte Carlo program: tri-lepton production as a SUSY signal and di-lepton analysis for an intermediate-mass Higgs search.The paper presents numerical results for vector boson pair production at hadron colliders, including full one-loop QCD corrections. The processes considered are $pp \rightarrow W^+ W^-$, $W^\pm Z/\gamma^*$, and $Z/\gamma^* Z/\gamma^*$, followed by the decay of the massive vector bosons into leptons. These processes are important for testing the Standard Model and as backgrounds for non-standard model processes. The authors use a Monte Carlo program, MCFM, to calculate the total cross sections for these processes at $\sqrt{s} = 2$ TeV (Tevatron Run II) and $\sqrt{s} = 14$ TeV (LHC), incorporating the latest parton distributions and electroweak input. They compare their results with existing literature and provide practical examples of the use of their calculations, such as estimating Standard Model backgrounds for new physics searches. The paper also discusses the importance of including spin correlations and beyond the zero-width approximation in the calculations. Finally, the authors present two examples of using their Monte Carlo program: tri-lepton production as a SUSY signal and di-lepton analysis for an intermediate-mass Higgs search.