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    NLO QCD + NLO EW corrections to WZZWZZ productions with leptonic decays at the LHC

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    Precision tests of the Standard Model (SM) require not only accurate experiments, but also precise and reliable theoretical predictions. Triple vector boson production provides a unique opportunity to investigate the quartic gauge couplings and check the validity of the gauge principle in the SM. Since the tree-level predictions alone are inadequate to meet this demand, the next-to-leading order (NLO) calculation becomes compulsory. In this paper, we calculate the NLO QCD + NLO electroweak (EW) corrections to the W±ZZW^{\pm}ZZ productions with subsequent leptonic decays at the 14 TeV14~{\rm TeV} LHC by adopting an improved narrow width approximation which takes into account the off-shell contributions and spin correlations from the W±W^{\pm}- and ZZ-boson leptonic decays. The NLO QCD+EW corrected integrated cross sections for the W±ZZW^{\pm}ZZ productions and some kinematic distributions of final products are provided. The results show that both the NLO QCD and NLO EW corrections are significant. In the jet-veto event selection scheme with pT,jetcut=50 GeVp_{T,jet}^{cut} = 50~ {\rm GeV}, the NLO QCD+EW relative corrections to the integrated cross section are 20.5%20.5\% and 31.1%31.1\%, while the genuine NLO EW relative corrections are −5.42%-5.42\% and −4.58%-4.58\%, for the W+ZZW^+ZZ and W−ZZW^-ZZ productions, respectively. We also investigate the theoretical dependence of the integrated cross section on the factorization/renormalization scale, and find that the scale uncertainty is underestimated at the LO due to the fact that the strong coupling αs\alpha_s is not involved in the LO matrix elements.Comment: 19 pages, 8 figure
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