Transverse momentum resummation at N3LL+NNLO for diboson processes

Abstract

Diboson processes are one of the most accessible and stringent probes of the Standard Model's electroweak gauge structure at the LHC. They will be probed at the percent level at the high-luminosity LHC, challenging current theory predictions. We present transverse momentum resummed calculations at N3LL+NNLO for the processes $ZZ$, $WZ$, $WH$ and $ZH$, compare our predictions with most recent LHC data and present predictions at 13.6 TeV including theory uncertainty estimates. For $W^{+}{W}^{-}$ production we further present jet-veto resummed results at N3LLp+NNLO. Our calculations will be made publicly available in the upcoming MCFM release and allow future analyses to take advantage of improved predictions.

arXiv comment12 pages, 11 figures

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• Jet-veto resummation at N${}^3$LL${}_{\text{p}}$+NNLO in boson production processes
• Zero-jettiness soft function to third order in perturbative QCD
• Threshold resummation for $Z$-boson pair production at NNLO+NNLL