We present the first combination of NNLO QCD and NLO EW corrections for vector-boson pair production at the LHC. We consider all final states with two, three and four charged leptons, including resonant and non-resonant diagrams, spin correlations and off-shell effects. Detailed predictions are discussed for three representative channels corresponding to W+W−, W±Z and Z Z production. Both QCD and EW corrections are very significant, and the details of their combination can play a crucial role to achieve the level of precision demanded by experimental analyses. In this context we point out nontrivial issues that arise at large transverse momenta, where the EW corrections are strongly enhanced by Sudakov logarithms and the QCD corrections can feature so-called giant K -factors. Our calculations have been carried out in the Matrix+OpenLoops framework and can be extended to the production of an arbitrary colour singlet in hadronic collisions, provided that the required two-loop QCD amplitudes are available. Combined NNLO QCD and NLO EW predictions for the full set of massive diboson processes will be made publicly available in the next release of Matrix and will be instrumental in advancing precision diboson studies and new-physics searches at the LHC and future hadron colliders.

中文翻译：

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NNLO QCD + NLO EW with Matrix+OpenLoops：精确预测矢量-玻色子对的产生

我们首次将 NNLO QCD 和 NLO EW 校正组合用于 LHC 的矢量-玻色子对生产。我们考虑具有两个、三个和四个带电轻子的所有最终状态，包括共振和非共振图、自旋相关和壳外效应。讨论了对应于 W+W−、W±Z 和 ZZ 生产的三个代表性通道的详细预测。QCD 和 EW 校正都非常重要，它们组合的细节对于达到实验分析所需的精度水平起着至关重要的作用。在这种情况下，我们指出了在大横向动量下出现的重要问题，其中 EW 校正被 Sudakov 对数强烈增强，而 QCD 校正可以具有所谓的巨 K 因子。我们的计算是在 Matrix+OpenLoops 框架中进行的，并且可以扩展到强子碰撞中任意颜色单线态的产生，前提是所需的双回路 QCD 幅度可用。对全套大规模双色子过程的组合 NNLO QCD 和 NLO EW 预测将在 Matrix 的下一个版本中公开提供，并将有助于推进 LHC 和未来强子对撞机的精密双色子研究和新物理搜索。