This paper presents numerical results for vector boson pair production at hadron colliders, including full one-loop QCD corrections. The processes considered are $ p\bar{p} \rightarrow W^{+}W^{-} $, $ W^{\pm}Z/\gamma^{*} $, and $ Z/\gamma^{*}Z/\gamma^{*} $, followed by the decay of the vector bosons into leptons. These processes are important for testing the Standard Model and serve as backgrounds for non-standard model processes. Due to their small cross sections at the Tevatron, precise theoretical predictions are needed to accurately interpret experimental results. The results are calculated using the MCFM Monte Carlo program, which allows the calculation of infrared finite quantities up to order $ \alpha_{s} $. The calculations are performed in next-to-leading order in $ \alpha_{s} $, and include all spin correlations in the decay of the final state bosons. The results are compared with previous work and cross sections are presented for $ p\bar{p} $ collisions at $ \sqrt{s} = 2 $ TeV and $ pp $ collisions at $ \sqrt{s} = 14 $ TeV. The results are also compared with existing literature, and the authors note that the results in Tables 1 and 2 are now obsolete. The paper also discusses the importance of vector boson pair production as a background for new physics processes, and presents results for the Tevatron Run II and the LHC. The results show that the cross sections at $ \sqrt{s} = 14 $ TeV are significantly larger than those at $ \sqrt{s} = 16 $ TeV. The K-factor, the ratio of the full next-to-leading order result to the Born level prediction, is approximately 1.3 for each case at the Tevatron, and varies between 1.3 for Z-pairs and 1.7 for $ ZW^{-} $ at the LHC. The paper also presents examples of the use of the MCFM program, including tri-lepton production at Run II and Higgs production via gluon-gluon fusion. The results show that the WW process is the principal background for Higgs production in the region $ 140 < m_{H} < 190 $ GeV. The paper concludes that the Monte Carlo program provides a valuable tool for calculating vector boson pair production cross sections, and that the results are important for understanding the Standard Model and for searching for new physics.This paper presents numerical results for vector boson pair production at hadron colliders, including full one-loop QCD corrections. The processes considered are $ p\bar{p} \rightarrow W^{+}W^{-} $, $ W^{\pm}Z/\gamma^{*} $, and $ Z/\gamma^{*}Z/\gamma^{*} $, followed by the decay of the vector bosons into leptons. These processes are important for testing the Standard Model and serve as backgrounds for non-standard model processes. Due to their small cross sections at the Tevatron, precise theoretical predictions are needed to accurately interpret experimental results. The results are calculated using the MCFM Monte Carlo program, which allows the calculation of infrared finite quantities up to order $ \alpha_{s} $. The calculations are performed in next-to-leading order in $ \alpha_{s} $, and include all spin correlations in the decay of the final state bosons. The results are compared with previous work and cross sections are presented for $ p\bar{p} $ collisions at $ \sqrt{s} = 2 $ TeV and $ pp $ collisions at $ \sqrt{s} = 14 $ TeV. The results are also compared with existing literature, and the authors note that the results in Tables 1 and 2 are now obsolete. The paper also discusses the importance of vector boson pair production as a background for new physics processes, and presents results for the Tevatron Run II and the LHC. The results show that the cross sections at $ \sqrt{s} = 14 $ TeV are significantly larger than those at $ \sqrt{s} = 16 $ TeV. The K-factor, the ratio of the full next-to-leading order result to the Born level prediction, is approximately 1.3 for each case at the Tevatron, and varies between 1.3 for Z-pairs and 1.7 for $ ZW^{-} $ at the LHC. The paper also presents examples of the use of the MCFM program, including tri-lepton production at Run II and Higgs production via gluon-gluon fusion. The results show that the WW process is the principal background for Higgs production in the region $ 140 < m_{H} < 190 $ GeV. The paper concludes that the Monte Carlo program provides a valuable tool for calculating vector boson pair production cross sections, and that the results are important for understanding the Standard Model and for searching for new physics.