Matching NNLO to parton shower using N${}^3$LL colour-singlet transverse momentum resummation in GENEVA

Abstract

We extend the GENEVA Monte Carlo framework using the transverse momentum of a colour-singlet system as the resolution variable. This allows us to use next-to-next-to-next-to leading logarithm (N${}^3$LL) resummation via the \radish formalism to obtain precise predictions for any colour-singlet production process at the fully exclusive level. Thanks to the implementation of two different resolution variables within the GENEVA framework, we are able to assess the impact of such a choice on differential observables for the first time. As a first application we present predictions for Drell-Yan lepton pair production at next-to-next-to-leading order (NNLO) in QCD interfaced to a parton shower simulation that includes additional all-order radiative corrections. We provide fully showered and hadronised events using PYTHIA8, while retaining the NNLO QCD accuracy for observables which are inclusive over the additional radiation. We also show that it is possible to obtain a numerically good agreement between showered GENEVA predictions and the N${}^3$LL resummation for the transverse momentum spectrum by choosing a more local recoil scheme. We compare our final predictions to LHC data at 13 TeV, finding good agreement across several distributions.

25 pages, 14 figures. Version published in PRD

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• Event Generators for High-Energy Physics Experiments
• Third order fiducial predictions for Drell-Yan at the LHC
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• $ZZ$ production at nNNLO+PS with MiNNLO${}_{\text{PS}}$
• Zero-jettiness resummation for top-quark pair production at the LHC
• $W^{+}{W}^{-}$ production at NNLO+PS with MiNNLO${}_{\mathrm{PS}}$
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• Leveraging universality of jet taggers through transfer learning
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• Combining QED and QCD transverse-momentum resummation for W and Z boson production at hadron colliders
• Effective transverse momentum in multiple jet production at hadron colliders
• Analytic results for Sudakov form factors in QCD
• Refining the GENEVA method for Higgs boson production via gluon fusion
• Transverse momentum distributions in low-mass Drell-Yan lepton pair production at NNLO QCD
• Exploring slicing variables for jet processes
• The Drell-Yan Process at NNLL${}^{\prime }$+NNLO using Rapidity Dependent Jet Vetoes