002848943 001__ 2848943
002848943 005__ 20230811061149.0
002848943 0248_ $$aoai:cds.cern.ch:2848943$$pcerncds:FULLTEXT$$pcerncds:CERN:FULLTEXT$$pcerncds:CERN
002848943 0247_ $$2DOI$$9Springer$$a10.1007/JHEP05(2023)002
002848943 037__ $$9arXiv$$aarXiv:2301.11827$$chep-ph
002848943 037__ $$aCERN-TH-2023-011
002848943 037__ $$aIPPP/23/03
002848943 037__ $$aZU-TH 03/23
002848943 035__ $$9arXiv$$aoai:arXiv.org:2301.11827
002848943 035__ $$9Inspire$$aoai:inspirehep.net:2627228$$d2023-08-10T02:58:57Z$$h2023-08-11T02:25:34Z$$mmarcxml$$ttrue$$uhttps://inspirehep.net/api/oai2d
002848943 035__ $$9Inspire$$a2627228
002848943 041__ $$aeng
002848943 100__ $$aGehrmann-De Ridder, A.$$jORCID:[email protected]$$tGRID:grid.5801.c$$tGRID:grid.7400.3$$uZurich, ETH$$uZurich U.$$vInstitute for Theoretical Physics, ETH, CH-8093 Zürich, Switzerland$$vPhysik-Institut, Universität Zürich, CH-8057 Zürich, Switzerland
002848943 245__ $$9Springer$$aPrecision phenomenology with fiducial cross sections in the triple-differential Drell-Yan process
002848943 269__ $$c2023-01-27
002848943 260__ $$c2023-05-02
002848943 300__ $$a43 p
002848943 500__ $$9arXiv$$a49 pages, 22 figures, all data attached as ancillary files, matches
published journal version
002848943 520__ $$9Springer$$aThe production of lepton pairs (Drell-Yan process) at the LHC is being measured to high precision, enabling the extraction of distributions that are triply differential in the di-lepton mass and rapidity as well as in the scattering angle described by the leptons. The measurements are performed for a fiducial phase space, defined by cuts on the individual lepton momenta and rapidities. Based on the ATLAS triple-differential Drell-Yan measurement at 8 TeV, we perform a detailed investigation of the phenomenology of this process based on state-of-the-art perturbative predictions in QCD and the electroweak theory. Our results demonstrate the highly non-trivial interplay between measurement variables and fiducial cuts, which leads to forbidden regions at Born level, and induces sensitivity on extra particle emissions from higher perturbative orders. We also investigate the sensitivity of the measurement on parton distributions and electroweak parameters. We derive Standard-Model theory predictions which combine NNLO QCD and NLO EW corrections and include partial N$^{3}$LO QCD as well as higher-order EW corrections where appropriate. Our results will enable the use of the triple-differential Drell-Yan data in a precise experimental determination of the weak mixing angle.
002848943 520__ $$9arXiv$$aThe production of lepton pairs (Drell-Yan process) at the LHC is being measured to high precision, enabling the extraction of distributions that are triply differential in the di-lepton mass and rapidity as well as in the scattering angle described by the leptons. The measurements are performed for a fiducial phase space, defined by cuts on the individual lepton momenta and rapidities. Based on the ATLAS triple-differential Drell-Yan measurement at 8~TeV, we perform a detailed investigation of the phenomenology of this process based on state-of-the-art perturbative predictions in QCD and the electroweak theory. Our results demonstrate the highly non-trivial interplay between measurement variables and fiducial cuts, which leads to forbidden regions at Born level, and induces sensitivity on extra particle emissions from higher perturbative orders. We also investigate the sensitivity of the measurement on parton distributions and electroweak parameters. We derive Standard-Model theory predictions which combine NNLO QCD and NLO EW corrections and include partial N$^3$LO QCD as well as higher-order EW corrections where appropriate. Our results will enable the use of the triple-differential Drell-Yan data in a precise experimental determination of the weak mixing angle.
002848943 540__ $$3preprint$$aarXiv nonexclusive-distrib 1.0$$uhttp://arxiv.org/licenses/nonexclusive-distrib/1.0/
002848943 540__ $$3publication$$aCC-BY-4.0$$bSpringer$$fSCOAP3$$uhttp://creativecommons.org/licenses/by/4.0/
002848943 542__ $$3publication$$dThe Author(s)$$g2023
002848943 595_D $$aZ$$d2023-02-02$$sabs
002848943 595__ $$aCERN-TH
002848943 65017 $$2arXiv$$ahep-ex
002848943 65017 $$2SzGeCERN$$aParticle Physics - Experiment
002848943 65017 $$2arXiv$$ahep-ph
002848943 65017 $$2SzGeCERN$$aParticle Physics - Phenomenology
002848943 690C_ $$aCERN
002848943 690C_ $$aARTICLE
002848943 700__ $$aGehrmann, T.$$jORCID:[email protected]$$tGRID:grid.7400.3$$uZurich U.$$vPhysik-Institut, Universität Zürich, CH-8057 Zürich, Switzerland
002848943 700__ $$aGlover, E.W. N.$$jORCID:[email protected]$$tGRID:grid.8250.f$$uDurham U., IPPP$$vInstitute for Particle Physics Phenomenology, Physics Department, Durham University, DH1 3LE Durham, UK
002848943 700__ $$aHuss, A.$$jORCID:[email protected]$$tGRID:grid.9132.9$$uCERN$$vTheoretical Physics Department, CERN, CH-1211 Geneva 23, Switzerland
002848943 700__ $$aPreuss, C.T.$$jORCID:[email protected]$$tGRID:grid.5801.c$$uZurich, ETH$$vInstitute for Theoretical Physics, ETH, CH-8093 Zürich, Switzerland
002848943 700__ $$aWalker, [email protected]$$tGRID:grid.8250.f$$uDurham U., IPPP$$vInstitute for Particle Physics Phenomenology, Physics Department, Durham University, DH1 3LE Durham, UK
002848943 773__ $$c002$$pJHEP$$v2305$$y2023
002848943 8564_ $$82426443$$s168077$$uhttp://cds.cern.ch/record/2848943/files/ratio_NNLO_by_ATLAS_79939_CC_binning_a.png$$y00019 Ratio of \NNLO \QCD predictions to ATLAS data in the central-central region of the Z3D analysis. The upper plot shows the \NNLO \QCD theory predictions, while the lower plot includes \pNthreeLO \QCD contributions for forbidden bins. Light error bars indicate scale-variation uncertainties and dark error bars correspond to statistical uncertainties, whilst the grey shaded area shows the experimental uncertainties in the ATLAS measurement. The bin number is as defined in Equation~\eqref{eqn:bin_idx_one}.
002848943 8564_ $$82426444$$s87651$$uhttp://cds.cern.ch/record/2848943/files/66_80_NNLO_N3LO_EW_CC.png$$y00028 Triple-differential $(\NNLO + \pNthreeLO)_\QCD + (\NLO+\HO)_\EW$ cross sections in the central-central region of the Z3D analysis in the \gmu~scheme with $\mw=79.939~\GeV$, corresponding to $\stw=0.23150$. The solid lines correspond to the theory predictions, about which the shaded band corresponds to the scale uncertainty. The markers correspond to the ATLAS results and associated uncertainty, and the hatched region gives the asymmetry for each of the three regions in $|\cthstar|$. Each panel shows a separate bin in the di-lepton invariant mass \mll.
002848943 8564_ $$82426445$$s51421$$uhttp://cds.cern.ch/record/2848943/files/yll_nlo.png$$y00007 The upper panel shows the minimum values of $\ylone$ and maximum values of $\dyllmax$ as a function of the lepton transverse momentum ratio $r$. The lower panel shows the resultant minimum transverse momentum induced by the momentum ratio $r$. For this we consider the forbidden phase-space point at $\yll=2$, $\cthstar=0.4$ in the Z3D central-central fiducial region, and take $\yltwo=\ytwomax=2.4$ in order to maximise the rapidity difference.
002848943 8564_ $$82426446$$s109959$$uhttp://cds.cern.ch/record/2848943/files/Interference.png$$y00001 Pure $\PZ$, $\Pgg^*$, and $\PZ/\Pgg^*$ interference contributions to the total Drell-Yan cross section as a function of \mll, calculated at LO in QCD. The upper panel shows the absolute values of the three contributions and the lower panel shows the ratio of the $\PZ/\Pgg^*$ interference term to the pure $\Pgg^*$ contribution. The black dotted vertical line at $\mll\sim\mz$ marks the change in sign of the interference term.
002848943 8564_ $$82426447$$s12737$$uhttp://cds.cern.ch/record/2848943/files/CS_frame.png$$y00000 The definition of the Collins-Soper frame and associated lepton decay angles $\theta$ and $\phi$. $p_1$ and $p_2$ are the directions of the incoming partonic momenta in the lepton rest frame, $k_1$ is the negative lepton momentum and $k_2$ is the positive lepton. Taken from~\cite{Gauld:2017tww}.
002848943 8564_ $$82426448$$s88219$$uhttp://cds.cern.ch/record/2848943/files/46_66_NNLO_N3LO_EW_CC.png$$y00027 Triple-differential $(\NNLO + \pNthreeLO)_\QCD + (\NLO+\HO)_\EW$ cross sections in the central-central region of the Z3D analysis in the \gmu~scheme with $\mw=79.939~\GeV$, corresponding to $\stw=0.23150$. The solid lines correspond to the theory predictions, about which the shaded band corresponds to the scale uncertainty. The markers correspond to the ATLAS results and associated uncertainty, and the hatched region gives the asymmetry for each of the three regions in $|\cthstar|$. Each panel shows a separate bin in the di-lepton invariant mass \mll.
002848943 8564_ $$82426449$$s65268$$uhttp://cds.cern.ch/record/2848943/files/80_91_NNLO_N3LO_EW_CC.png$$y00029 Triple-differential $(\NNLO + \pNthreeLO)_\QCD + (\NLO+\HO)_\EW$ cross sections in the central-central region of the Z3D analysis in the \gmu~scheme with $\mw=79.939~\GeV$, corresponding to $\stw=0.23150$. The solid lines correspond to the theory predictions, about which the shaded band corresponds to the scale uncertainty. The markers correspond to the ATLAS results and associated uncertainty, and the hatched region gives the asymmetry for each of the three regions in $|\cthstar|$. Each panel shows a separate bin in the di-lepton invariant mass \mll.
002848943 8564_ $$82426450$$s52358$$uhttp://cds.cern.ch/record/2848943/files/80_91_NNLO_N3LO_EW_CF.png$$y00035 Triple-differential $(\NNLO + \pNthreeLO)_\QCD + (\NLO+\HO)_\EW$ cross sections in the central-forward region of the Z3D analysis in the \gmu~scheme with $\mw=79.939~\GeV$, corresponding to $\stw=0.23150$. The solid lines correspond to the theory predictions, about which the shaded band corresponds to the scale uncertainty. The markers correspond to the ATLAS results and associated uncertainty, and the hatched region gives the asymmetry for each of the three regions in $|\cthstar|$. Each panel shows a separate bin in the di-lepton invariant mass \mll.
002848943 8564_ $$82426451$$s69510$$uhttp://cds.cern.ch/record/2848943/files/66_80_NNLO_N3LO_EW_CF.png$$y00034 Triple-differential $(\NNLO + \pNthreeLO)_\QCD + (\NLO+\HO)_\EW$ cross sections in the central-forward region of the Z3D analysis in the \gmu~scheme with $\mw=79.939~\GeV$, corresponding to $\stw=0.23150$. The solid lines correspond to the theory predictions, about which the shaded band corresponds to the scale uncertainty. The markers correspond to the ATLAS results and associated uncertainty, and the hatched region gives the asymmetry for each of the three regions in $|\cthstar|$. Each panel shows a separate bin in the di-lepton invariant mass \mll.
002848943 8564_ $$82426452$$s97627$$uhttp://cds.cern.ch/record/2848943/files/116_150_NNLO_N3LO_EW_CC.png$$y00032 Triple-differential $(\NNLO + \pNthreeLO)_\QCD + (\NLO+\HO)_\EW$ cross sections in the central-central region of the Z3D analysis in the \gmu~scheme with $\mw=79.939~\GeV$, corresponding to $\stw=0.23150$. The solid lines correspond to the theory predictions, about which the shaded band corresponds to the scale uncertainty. The markers correspond to the ATLAS results and associated uncertainty, and the hatched region gives the asymmetry for each of the three regions in $|\cthstar|$. Each panel shows a separate bin in the di-lepton invariant mass \mll.
002848943 8564_ $$82426453$$s170182$$uhttp://cds.cern.ch/record/2848943/files/ratio_NNLO_by_ATLAS_79939_CC_binning_a_EWNUM.png$$y00023 Ratio of $\NNLO_\QCD + (\NLO+\HO)_\EW$ predictions to ATLAS data in the central-central (top panel) and central-forward (bottom panel) region of the Z3D analysis. Light error bars correspond to scale-variation uncertainties and dark error bars correspond to statistical uncertainties. The grey shaded region shows the experimental uncertainty of the ATLAS measurement. The bin number is as defined in Equation~\eqref{eqn:bin_idx_one} for the CC region and Equation~\eqref{eqn:bin_idx_CF} for the CF region.
002848943 8564_ $$82426454$$s60405$$uhttp://cds.cern.ch/record/2848943/files/CC_qt_forbidden.png$$y00008 The normalised $\qt$ spectrum for the $0.4<\cthstar<0.7$, $46<\mll<200$ region for each rapidity bin of the Z3D central-central measurement region between $\yll=1.2$ and $\yll=2.4$. The results are produced to $\mathcal{O}(\alphas)$, with the colours labelling as before the allowed (green), mixed (orange) and forbidden (red) bins. The kink observed at $1/\sigma\cdot\diff\sigma/\diff \qt=10^{-4}$ is a consequence of the linearisation of the axes between $\qt\pm10^{-4}$ to allow the negative contribution at $\qt=0$ to be shown.
002848943 8564_ $$82426455$$s46032$$uhttp://cds.cern.ch/record/2848943/files/ratio_CT14_by_NNPDF3_1_PDF_CF.png$$y00017 The ratio of the central predictions of the \texttt{MMHT14} (top panel) and \texttt{CT14} (bottom panel) PDF sets to the predictions of \texttt{NNPDF3.1} data in the central-forward region of the Z3D analysis. Both plots show the predictions in all bins to \NNLO. Light error bars on the theory predictions correspond to the scale-variation uncertainty. The bin number is as defined in Equation~\eqref{eqn:bin_idx_CF}.
002848943 8564_ $$82426456$$s56524$$uhttp://cds.cern.ch/record/2848943/files/xq2.png$$y00003 The kinematic regions in the $(x,Q^2)$ plane associated with the central-central (yellow) and central-forward (green) fiducial selections of the Z3D measurement. The total kinematic reach of the ATLAS detector at $\sqrt{s}=8~\TeV$ is shown in red.
002848943 8564_ $$82426457$$s123847$$uhttp://cds.cern.ch/record/2848943/files/ratio_NNLO_by_ATLAS_N3LO_CF_binning_a_EWNUM.png$$y00026 Ratio of $(\NNLO+\pNthreeLO)_\QCD + (\NLO+\HO)_\EW$ predictions to ATLAS data in the central-central (top panel) and central-forward (bottom panel) region of the Z3D analysis. Light error bars correspond to scale-variation uncertainties and dark error bars correspond to statistical uncertainties. The grey shaded region shows the experimental uncertainty of the ATLAS measurement. The bin number is as defined in Equation~\eqref{eqn:bin_idx_one} for the CC region and Equation~\eqref{eqn:bin_idx_CF} for the CF region.
002848943 8564_ $$82426458$$s71562$$uhttp://cds.cern.ch/record/2848943/files/ratio_CT14_by_NNPDF3_1_PDF_CC.png$$y00015 Ratio of the central predictions of the \texttt{MMHT14} (top panel) and \texttt{CT14} (bottom panel) PDF sets to the predictions of \texttt{NNPDF3.1} data in the central-central region of the Z3D analysis. Both plots show the predictions in all bins to \NNLO. Light error bars on the theory predictions correspond to the scale-variation uncertainty. The bin number is as defined in Equation~\eqref{eqn:bin_idx_one}.
002848943 8564_ $$82426459$$s103568$$uhttp://cds.cern.ch/record/2848943/files/150_200_NNLO_N3LO_EW_CC.png$$y00033 Triple-differential $(\NNLO + \pNthreeLO)_\QCD + (\NLO+\HO)_\EW$ cross sections in the central-central region of the Z3D analysis in the \gmu~scheme with $\mw=79.939~\GeV$, corresponding to $\stw=0.23150$. The solid lines correspond to the theory predictions, about which the shaded band corresponds to the scale uncertainty. The markers correspond to the ATLAS results and associated uncertainty, and the hatched region gives the asymmetry for each of the three regions in $|\cthstar|$. Each panel shows a separate bin in the di-lepton invariant mass \mll.
002848943 8564_ $$82426460$$s167699$$uhttp://cds.cern.ch/record/2848943/files/ratio_NNLO_by_ATLAS_N3LO_CC_binning_a_EWNUM.png$$y00025 Ratio of $(\NNLO+\pNthreeLO)_\QCD + (\NLO+\HO)_\EW$ predictions to ATLAS data in the central-central (top panel) and central-forward (bottom panel) region of the Z3D analysis. Light error bars correspond to scale-variation uncertainties and dark error bars correspond to statistical uncertainties. The grey shaded region shows the experimental uncertainty of the ATLAS measurement. The bin number is as defined in Equation~\eqref{eqn:bin_idx_one} for the CC region and Equation~\eqref{eqn:bin_idx_CF} for the CF region.
002848943 8564_ $$82426461$$s122895$$uhttp://cds.cern.ch/record/2848943/files/ratio_NNLO_by_ATLAS_N3LO_CF_binning_a.png$$y00022 Ratio of \NNLO \QCD predictions to ATLAS data in the central-forward region of the Z3D analysis. The upper plot shows the \NNLO \QCD theory predictions, while the lower plot includes \pNthreeLO \QCD contributions for forbidden bins. Light error bars indicate scale-variation uncertainties and dark error bars correspond to statistical uncertainties, whilst the grey shaded area shows the experimental uncertainties in the ATLAS measurement. The bin number is as defined in Equation~\eqref{eqn:bin_idx_CF}.
002848943 8564_ $$82426462$$s72750$$uhttp://cds.cern.ch/record/2848943/files/91_102_NNLO_N3LO_EW_CC.png$$y00030 Triple-differential $(\NNLO + \pNthreeLO)_\QCD + (\NLO+\HO)_\EW$ cross sections in the central-central region of the Z3D analysis in the \gmu~scheme with $\mw=79.939~\GeV$, corresponding to $\stw=0.23150$. The solid lines correspond to the theory predictions, about which the shaded band corresponds to the scale uncertainty. The markers correspond to the ATLAS results and associated uncertainty, and the hatched region gives the asymmetry for each of the three regions in $|\cthstar|$. Each panel shows a separate bin in the di-lepton invariant mass \mll.
002848943 8564_ $$82426463$$s95162$$uhttp://cds.cern.ch/record/2848943/files/102_116_NNLO_N3LO_EW_CC.png$$y00031 Triple-differential $(\NNLO + \pNthreeLO)_\QCD + (\NLO+\HO)_\EW$ cross sections in the central-central region of the Z3D analysis in the \gmu~scheme with $\mw=79.939~\GeV$, corresponding to $\stw=0.23150$. The solid lines correspond to the theory predictions, about which the shaded band corresponds to the scale uncertainty. The markers correspond to the ATLAS results and associated uncertainty, and the hatched region gives the asymmetry for each of the three regions in $|\cthstar|$. Each panel shows a separate bin in the di-lepton invariant mass \mll.
002848943 8564_ $$82426464$$s71717$$uhttp://cds.cern.ch/record/2848943/files/ratio_MMHT14_by_NNPDF3_1_PDF_CC.png$$y00014 Ratio of the central predictions of the \texttt{MMHT14} (top panel) and \texttt{CT14} (bottom panel) PDF sets to the predictions of \texttt{NNPDF3.1} data in the central-central region of the Z3D analysis. Both plots show the predictions in all bins to \NNLO. Light error bars on the theory predictions correspond to the scale-variation uncertainty. The bin number is as defined in Equation~\eqref{eqn:bin_idx_one}.
002848943 8564_ $$82426465$$s73756$$uhttp://cds.cern.ch/record/2848943/files/116_150_NNLO_N3LO_EW_CF.png$$y00038 Triple-differential $(\NNLO + \pNthreeLO)_\QCD + (\NLO+\HO)_\EW$ cross sections in the central-forward region of the Z3D analysis in the \gmu~scheme with $\mw=79.939~\GeV$, corresponding to $\stw=0.23150$. The solid lines correspond to the theory predictions, about which the shaded band corresponds to the scale uncertainty. The markers correspond to the ATLAS results and associated uncertainty, and the hatched region gives the asymmetry for each of the three regions in $|\cthstar|$. Each panel shows a separate bin in the di-lepton invariant mass \mll.
002848943 8564_ $$82426466$$s129756$$uhttp://cds.cern.ch/record/2848943/files/ratios.png$$y00018 The ratio of \texttt{MMHT14} and \texttt{CT14} PDF sets to the central member of the \texttt{NNPDF3.1} set as a function of Bjorken-$x$. From the top left panel clockwise, the panels correspond to the \Pqd valence, \Pqu valence, \Pqu sea-quark, and \Pqd sea-quark contributions to the various PDF sets at $Q^2=\mz^2$. The given uncertainties are the PDF uncertainties.
002848943 8564_ $$82426467$$s46625$$uhttp://cds.cern.ch/record/2848943/files/ratio_MMHT14_by_NNPDF3_1_PDF_CF.png$$y00016 The ratio of the central predictions of the \texttt{MMHT14} (top panel) and \texttt{CT14} (bottom panel) PDF sets to the predictions of \texttt{NNPDF3.1} data in the central-forward region of the Z3D analysis. Both plots show the predictions in all bins to \NNLO. Light error bars on the theory predictions correspond to the scale-variation uncertainty. The bin number is as defined in Equation~\eqref{eqn:bin_idx_CF}.
002848943 8564_ $$82426468$$s5353905$$uhttp://cds.cern.ch/record/2848943/files/2301.11827.pdf$$yFulltext
002848943 8564_ $$82426469$$s33376$$uhttp://cds.cern.ch/record/2848943/files/acceptances_CF.png$$y00011 Acceptances for the CF Z3D fiducial region. The bin number is as defined in Equation~\eqref{eqn:bin_idx_CF}, such that the major \mll~bins are divided into 5 \yll~sub-bins from $1.2$ to $3.6$ (left to right) which are in turn divided into 6 \cthstar~sub-bins from $-1$ to $1$ (left to right). The different \cthstar~values are denoted by the central colour of each point.
002848943 8564_ $$82426470$$s166078$$uhttp://cds.cern.ch/record/2848943/files/ratio_NNLO_by_ATLAS_N3LO_CC_binning_a.png$$y00020 Ratio of \NNLO \QCD predictions to ATLAS data in the central-central region of the Z3D analysis. The upper plot shows the \NNLO \QCD theory predictions, while the lower plot includes \pNthreeLO \QCD contributions for forbidden bins. Light error bars indicate scale-variation uncertainties and dark error bars correspond to statistical uncertainties, whilst the grey shaded area shows the experimental uncertainties in the ATLAS measurement. The bin number is as defined in Equation~\eqref{eqn:bin_idx_one}.
002848943 8564_ $$82426471$$s112218$$uhttp://cds.cern.ch/record/2848943/files/acceptances_CC.png$$y00010 Acceptances for the CC Z3D fiducial region. The bin number is as defined in Equation~\eqref{eqn:bin_idx_one}, such that the major \mll~bins are divided into 12 \yll~sub-bins from $0-2.4$ (left to right) which are in turn divided into 6 \cthstar~sub-bins from $-1$ to $1$ (left to right). The different \cthstar~values are denoted by the central colour of each point.
002848943 8564_ $$82426472$$s14313$$uhttp://cds.cern.ch/record/2848943/files/costh_constraints_coloured_bins_CC.png$$y00004 Bin classifications at LO for the central-central Z3D Drell-Yan fiducial region in the ($|\yll|$, \cthstar) plane. Overlaid are the measurement bins, integrated over \mll.
002848943 8564_ $$82426473$$s19115$$uhttp://cds.cern.ch/record/2848943/files/AFB_generic.png$$y00002 \afb{} as a function of the di-lepton invariant mass \mll{} at LO in QCD. The dotted vertical red line denotes the position of the \PZ peak, at which point the $\PZ/\Pgg^*$ interference term is identically zero.
002848943 8564_ $$82426474$$s123375$$uhttp://cds.cern.ch/record/2848943/files/ratio_NNLO_by_ATLAS_79939_CF_binning_a_EWNUM.png$$y00024 Ratio of $\NNLO_\QCD + (\NLO+\HO)_\EW$ predictions to ATLAS data in the central-central (top panel) and central-forward (bottom panel) region of the Z3D analysis. Light error bars correspond to scale-variation uncertainties and dark error bars correspond to statistical uncertainties. The grey shaded region shows the experimental uncertainty of the ATLAS measurement. The bin number is as defined in Equation~\eqref{eqn:bin_idx_one} for the CC region and Equation~\eqref{eqn:bin_idx_CF} for the CF region.
002848943 8564_ $$82426475$$s9863$$uhttp://cds.cern.ch/record/2848943/files/costh_constraints_coloured_bins_CF.png$$y00005 Bin classifications at LO for the central-forward Z3D Drell-Yan fiducial region in the ($|\yll|$, $\cthstar$) plane. Overlaid are the measurement bins, integrated over \mll.
002848943 8564_ $$82426476$$s125354$$uhttp://cds.cern.ch/record/2848943/files/pt_dependence_CF.png$$y00009 Minimum \qt{} values required for the different regions of the ($|\yll|$, $\cthstar$) plane in the central-forward region. Overlaid are the Z3D measurement bins, integrated over \mll.
002848943 8564_ $$82426477$$s60575$$uhttp://cds.cern.ch/record/2848943/files/91_102_NNLO_N3LO_EW_CF.png$$y00036 Triple-differential $(\NNLO + \pNthreeLO)_\QCD + (\NLO+\HO)_\EW$ cross sections in the central-forward region of the Z3D analysis in the \gmu~scheme with $\mw=79.939~\GeV$, corresponding to $\stw=0.23150$. The solid lines correspond to the theory predictions, about which the shaded band corresponds to the scale uncertainty. The markers correspond to the ATLAS results and associated uncertainty, and the hatched region gives the asymmetry for each of the three regions in $|\cthstar|$. Each panel shows a separate bin in the di-lepton invariant mass \mll.
002848943 8564_ $$82426478$$s105277$$uhttp://cds.cern.ch/record/2848943/files/pt_dependence_CC.png$$y00006 Minimum $\qt$ values required for the different regions of the ($|\yll|$, $\cthstar$) plane in the central-central region, obtained with the simplifying assumption of equal transverse momenta of both leptons. Overlaid are the Z3D measurement bins, integrated over \mll.
002848943 8564_ $$82426479$$s122359$$uhttp://cds.cern.ch/record/2848943/files/ratio_NNLO_by_ATLAS_79939_CF_binning_a.png$$y00021 Ratio of \NNLO \QCD predictions to ATLAS data in the central-forward region of the Z3D analysis. The upper plot shows the \NNLO \QCD theory predictions, while the lower plot includes \pNthreeLO \QCD contributions for forbidden bins. Light error bars indicate scale-variation uncertainties and dark error bars correspond to statistical uncertainties, whilst the grey shaded area shows the experimental uncertainties in the ATLAS measurement. The bin number is as defined in Equation~\eqref{eqn:bin_idx_CF}.
002848943 8564_ $$82426480$$s109191$$uhttp://cds.cern.ch/record/2848943/files/k-factors_CC.png$$y00012 $\NNLO/\NLO$ $k$-factors for the CC and CF Z3D fiducial region. The bin number is as defined in Equation~\eqref{eqn:bin_idx_one} for the CC region and Equation~\eqref{eqn:bin_idx_CF} for the CF region. The majority of $k$-factors for the forbidden region are outside the bounds of the plot.
002848943 8564_ $$82426481$$s74082$$uhttp://cds.cern.ch/record/2848943/files/k-factors_CF.png$$y00013 $\NNLO/\NLO$ $k$-factors for the CC and CF Z3D fiducial region. The bin number is as defined in Equation~\eqref{eqn:bin_idx_one} for the CC region and Equation~\eqref{eqn:bin_idx_CF} for the CF region. The majority of $k$-factors for the forbidden region are outside the bounds of the plot.
002848943 8564_ $$82426482$$s77582$$uhttp://cds.cern.ch/record/2848943/files/102_116_NNLO_N3LO_EW_CF.png$$y00037 Triple-differential $(\NNLO + \pNthreeLO)_\QCD + (\NLO+\HO)_\EW$ cross sections in the central-forward region of the Z3D analysis in the \gmu~scheme with $\mw=79.939~\GeV$, corresponding to $\stw=0.23150$. The solid lines correspond to the theory predictions, about which the shaded band corresponds to the scale uncertainty. The markers correspond to the ATLAS results and associated uncertainty, and the hatched region gives the asymmetry for each of the three regions in $|\cthstar|$. Each panel shows a separate bin in the di-lepton invariant mass \mll.
002848943 8564_ $$82452050$$s4676984$$uhttp://cds.cern.ch/record/2848943/files/document.pdf$$yFulltext
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