QCD corrections to vector boson pair production in gluon fusion including interference effects with off-shell Higgs at the LHC

Abstract

We compute next-to-leading order (NLO) QCD corrections to the production of two massive electroweak bosons in gluon fusion. We consider both the prompt production process $gg\to VV$ and the production mediated by an exchange of an s-channel Higgs boson, $gg\to H^{\ast }\to VV$. We include final states with both on- and off-shell vector bosons with leptonic decays. The gluonic production of vector bosons is a loop-induced process, including both massless and massive quarks in the loop. For $gg\to ZZ$ production, we obtain the NLO QCD corrections to the massive loops through an expansion around the heavy top limit. This approximation is valid below the top production threshold, giving a broad range of invariant masses between the Higgs production and the top production thresholds in which our results are valid. We explore the NLO QCD effects in $gg\to ZZ$ focusing, in particular, on the interference between prompt and Higgs-mediated processes. We find that the QCD corrections to the interference are large and similar in size to the corrections to both the signal and the background processes. At the same time, we observe that corrections to the interference change rapidly with the four-lepton invariant mass in the region around the ZZ production threshold. We also study the interference effects in $gg\to WW$ production where, due to technical limitations, we only consider contributions of massless loops. We find that the QCD corrections to the interference in this case are somewhat larger than those for either the signal or the background.

23 pages, 10 figures

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• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Vector boson pair production at the LHC
• Higgs boson gluon-fusion production in N3LO QCD
• ZZ production at hadron colliders in NNLO QCD
• $W^{+}{W}^{-}$ production at hadron colliders in NNLO QCD
• Higgs boson pair production in gluon fusion at NLO with full top-quark mass dependence
• Constraints on the Higgs boson width from off-shell production and decay to Z-boson pairs
• Production of two Z-bosons in gluon fusion in the heavy top quark approximation
• Next-to-leading order predictions for WW + 1 jet distributions at the LHC

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