Wgamma and Zgamma production at the LHC in NNLO QCD

Abstract

We consider the production of $W\gamma$ and $Z\gamma$ pairs at hadron colliders. We report on the complete fully differential computation of radiative corrections at next-to-next-to-leading order (NNLO) in QCD perturbation theory. The calculation includes the leptonic decay of the vector boson with the corresponding spin correlations, off shell effects and final-state photon radiation. We present numerical results for $pp$ collisions at 7 and 8 TeV and we compare them with available LHC data. In the case of $Z\gamma$ production, the impact of NNLO corrections is generally moderate, ranging from 8% to 18%, depending on the applied cuts. In the case of $W\gamma$ production, the NNLO effects are more important, and range from 19% to 26%, thereby improving the agreement of the theoretical predictions with the data. As expected, the impact of QCD radiative corrections is significantly reduced when a jet veto is applied.

27 pages, 11 figures

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Cited by in corpus (10)

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• ZZ production in gluon fusion at NLO matched to parton-shower
• $W^{+}{W}^{-}$ production at the LHC: NLO QCD corrections to the loop-induced gluon fusion channel
• The Zγ transverse-momentum spectrum at NNLO+N3LL
• Measurements of $W^{+}{W}^{-}+\ge 1$jet production cross-sections in $pp$ collisions at $\sqrt{s}=13$TeV with the ATLAS detector
• Four lepton production in gluon fusion: off-shell Higgs effects in NLO QCD
• Measurement of the W$\gamma$ production cross section in proton-proton collisions at $\sqrt{s}=$ 13 TeV and constraints on effective field theory coefficients
• Jet cross sections and transverse momentum distributions with NNLOJET
• Measurement of $W^{+}{W}^{-}$ production in association with one jet in proton--proton collisions at $\sqrt{s}=8$ TeV with the ATLAS detector