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| CMS-SMP-20-003 ; CERN-EP-2022-053 | ||
| Measurement of the mass dependence of the transverse momentum of lepton pairs in Drell--Yan production in proton-proton collisions at $ \sqrt{s} = $ 13 TeV | ||
| CMS Collaboration | ||
| 10 May 2022 | ||
| Eur. Phys. J. C 83 (2023) 628 | ||
| Abstract: The double differential cross sections of the Drell--Yan lepton pair ($ \ell^+\ell^- $, dielectron or dimuon) production are measured as functions of the invariant mass $ m_{\ell\ell} $, transverse momentum $ p_{\mathrm{T}}(\ell\ell) $, and $ \varphi^{*}_{\eta} $. The $ \varphi^{*}_{\eta} $ observable, derived from angular measurements of the leptons and highly correlated with $ p_{\mathrm{T}}(\ell\ell) $, is used to probe the low-$ p_{\mathrm{T}}(\ell\ell) $ region in a complementary way. Dilepton masses up to 1 TeV are investigated. Additionally, a measurement is performed requiring at least one jet in the final state. To benefit from partial cancellation of the systematic uncertainty, the ratios of the differential cross sections for various $ m_{\ell\ell} $ ranges to those in the Z mass peak interval are presented. The collected data correspond to an integrated luminosity of 36.3 fb$ ^{-1} $ of proton--proton collisions recorded with the CMS detector at the LHC at a centre-of-mass energy of 13 TeV. Measurements are compared with predictions based on perturbative quantum chromodynamics, including soft-gluon resummation. | ||
| Links: e-print arXiv:2205.04897 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; Physics Briefing ; CADI line (restricted) ; | ||
| Additional resources can be found there. |
| Figures | |
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Figure 1:
Distributions of events passing the selection requirements in the muon (left) and electron channels (right). Each plot also presents in the lower part a ratio of simulation over data. Only statistical uncertainties are shown as error bars on the data points, whereas the ratio presents the statistical uncertainty in the simulation and the data. The plots show the number of events without normalization to the bin width. The different background contributions are discussed in the text. |
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Figure 1-a:
Distributions of events passing the selection requirements in the muon (left) and electron channels (right). Each plot also presents in the lower part a ratio of simulation over data. Only statistical uncertainties are shown as error bars on the data points, whereas the ratio presents the statistical uncertainty in the simulation and the data. The plots show the number of events without normalization to the bin width. The different background contributions are discussed in the text. |
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Figure 1-b:
Distributions of events passing the selection requirements in the muon (left) and electron channels (right). Each plot also presents in the lower part a ratio of simulation over data. Only statistical uncertainties are shown as error bars on the data points, whereas the ratio presents the statistical uncertainty in the simulation and the data. The plots show the number of events without normalization to the bin width. The different background contributions are discussed in the text. |
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Figure 2:
Distributions of events passing the selection requirements in the electron channel as a function of the dilepton $ p_{\mathrm{T}} $ in five ranges of invariant mass: 50 to 76 GeV (upper left), 76 to 106 GeV (upper right), 106 to 170 GeV (middle left), 170 to 350 GeV (middle right), and 350 to 1000 GeV (lower). More details are given in Fig. 1. |
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Figure 2-a:
Distributions of events passing the selection requirements in the electron channel as a function of the dilepton $ p_{\mathrm{T}} $ in five ranges of invariant mass: 50 to 76 GeV (upper left), 76 to 106 GeV (upper right), 106 to 170 GeV (middle left), 170 to 350 GeV (middle right), and 350 to 1000 GeV (lower). More details are given in Fig. 1. |
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Figure 2-b:
Distributions of events passing the selection requirements in the electron channel as a function of the dilepton $ p_{\mathrm{T}} $ in five ranges of invariant mass: 50 to 76 GeV (upper left), 76 to 106 GeV (upper right), 106 to 170 GeV (middle left), 170 to 350 GeV (middle right), and 350 to 1000 GeV (lower). More details are given in Fig. 1. |
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Figure 2-c:
Distributions of events passing the selection requirements in the electron channel as a function of the dilepton $ p_{\mathrm{T}} $ in five ranges of invariant mass: 50 to 76 GeV (upper left), 76 to 106 GeV (upper right), 106 to 170 GeV (middle left), 170 to 350 GeV (middle right), and 350 to 1000 GeV (lower). More details are given in Fig. 1. |
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Figure 2-d:
Distributions of events passing the selection requirements in the electron channel as a function of the dilepton $ p_{\mathrm{T}} $ in five ranges of invariant mass: 50 to 76 GeV (upper left), 76 to 106 GeV (upper right), 106 to 170 GeV (middle left), 170 to 350 GeV (middle right), and 350 to 1000 GeV (lower). More details are given in Fig. 1. |
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Figure 2-e:
Distributions of events passing the selection requirements in the electron channel as a function of the dilepton $ p_{\mathrm{T}} $ in five ranges of invariant mass: 50 to 76 GeV (upper left), 76 to 106 GeV (upper right), 106 to 170 GeV (middle left), 170 to 350 GeV (middle right), and 350 to 1000 GeV (lower). More details are given in Fig. 1. |
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Figure 3:
Estimates of the uncertainties in inclusive differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The black line is the quadratic sum of the colored lines. |
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Figure 3-a:
Estimates of the uncertainties in inclusive differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The black line is the quadratic sum of the colored lines. |
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Figure 3-b:
Estimates of the uncertainties in inclusive differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The black line is the quadratic sum of the colored lines. |
png pdf |
Figure 3-c:
Estimates of the uncertainties in inclusive differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The black line is the quadratic sum of the colored lines. |
png pdf |
Figure 3-d:
Estimates of the uncertainties in inclusive differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The black line is the quadratic sum of the colored lines. |
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Figure 3-e:
Estimates of the uncertainties in inclusive differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The black line is the quadratic sum of the colored lines. |
png pdf |
Figure 4:
Estimates of the uncertainties in inclusive differential cross section ratios in $ p_{\mathrm{T}}(\ell\ell) $ for invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower left), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower right). The black line is the quadratic sum of the colored lines. |
png pdf |
Figure 4-a:
Estimates of the uncertainties in inclusive differential cross section ratios in $ p_{\mathrm{T}}(\ell\ell) $ for invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower left), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower right). The black line is the quadratic sum of the colored lines. |
png pdf |
Figure 4-b:
Estimates of the uncertainties in inclusive differential cross section ratios in $ p_{\mathrm{T}}(\ell\ell) $ for invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower left), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower right). The black line is the quadratic sum of the colored lines. |
png pdf |
Figure 4-c:
Estimates of the uncertainties in inclusive differential cross section ratios in $ p_{\mathrm{T}}(\ell\ell) $ for invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower left), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower right). The black line is the quadratic sum of the colored lines. |
png pdf |
Figure 4-d:
Estimates of the uncertainties in inclusive differential cross section ratios in $ p_{\mathrm{T}}(\ell\ell) $ for invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower left), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower right). The black line is the quadratic sum of the colored lines. |
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Figure 5:
Differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The error bars on data points (black dots) correspond to the statistical uncertainty of the measurement and the shaded bands around the data points correspond to the total experimental uncertainty. The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (0 jet at NLO)+ PB (CASCADE) (red triangles). |
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Figure 5-a:
Differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The error bars on data points (black dots) correspond to the statistical uncertainty of the measurement and the shaded bands around the data points correspond to the total experimental uncertainty. The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (0 jet at NLO)+ PB (CASCADE) (red triangles). |
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Figure 5-b:
Differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The error bars on data points (black dots) correspond to the statistical uncertainty of the measurement and the shaded bands around the data points correspond to the total experimental uncertainty. The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (0 jet at NLO)+ PB (CASCADE) (red triangles). |
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Figure 5-c:
Differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The error bars on data points (black dots) correspond to the statistical uncertainty of the measurement and the shaded bands around the data points correspond to the total experimental uncertainty. The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (0 jet at NLO)+ PB (CASCADE) (red triangles). |
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Figure 5-d:
Differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The error bars on data points (black dots) correspond to the statistical uncertainty of the measurement and the shaded bands around the data points correspond to the total experimental uncertainty. The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (0 jet at NLO)+ PB (CASCADE) (red triangles). |
png pdf |
Figure 5-e:
Differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The error bars on data points (black dots) correspond to the statistical uncertainty of the measurement and the shaded bands around the data points correspond to the total experimental uncertainty. The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (0 jet at NLO)+ PB (CASCADE) (red triangles). |
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Figure 6:
Comparison to Monte Carlo predictions based on a matrix element with parton shower merging. The ratio of MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (left) and \textsc{MiNNLO$ _\mathrm{PS} $ (right) predictions to the measured differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ are presented for various $ m_{\ell\ell} $ ranges. The error bars correspond to the statistical uncertainty of the measurement and the shaded bands to the total experimental uncertainty. The light color band corresponds to the statistical uncertainty of the simulation and the dark color band includes the scale uncertainty. The largest bands include PDF and $ \alpha_\mathrm{S} $ uncertainties, added in quadrature. |
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Figure 6-a:
Comparison to Monte Carlo predictions based on a matrix element with parton shower merging. The ratio of MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (left) and \textsc{MiNNLO$ _\mathrm{PS} $ (right) predictions to the measured differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ are presented for various $ m_{\ell\ell} $ ranges. The error bars correspond to the statistical uncertainty of the measurement and the shaded bands to the total experimental uncertainty. The light color band corresponds to the statistical uncertainty of the simulation and the dark color band includes the scale uncertainty. The largest bands include PDF and $ \alpha_\mathrm{S} $ uncertainties, added in quadrature. |
png pdf |
Figure 6-b:
Comparison to Monte Carlo predictions based on a matrix element with parton shower merging. The ratio of MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (left) and \textsc{MiNNLO$ _\mathrm{PS} $ (right) predictions to the measured differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ are presented for various $ m_{\ell\ell} $ ranges. The error bars correspond to the statistical uncertainty of the measurement and the shaded bands to the total experimental uncertainty. The light color band corresponds to the statistical uncertainty of the simulation and the dark color band includes the scale uncertainty. The largest bands include PDF and $ \alpha_\mathrm{S} $ uncertainties, added in quadrature. |
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Figure 7:
Comparison to TMD based predictions. The ratio of MG5\_aMC (0 jet at NLO) + PB (CASCADE) (left) and ARTEMIDE (right) predictions to the measured differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ are presented for various $ m_{\ell\ell} $ ranges. The error bars correspond to the statistical uncertainty of the measurement and the shaded bands to the total experimental uncertainty. The light (dark) green band around ARTEMIDE predictions represent the nonperturbative (QCD scale) uncertainties, the darker green representing the QED FSR correction uncertainties. The range of invalidity is shaded with a gray band. The light color band around CASCADE prediction corresponds to the statistical uncertainty of the simulation and the dark color band includes the scale uncertainty. The largest bands include TMD uncertainty, added in quadrature. |
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Figure 7-a:
Comparison to TMD based predictions. The ratio of MG5\_aMC (0 jet at NLO) + PB (CASCADE) (left) and ARTEMIDE (right) predictions to the measured differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ are presented for various $ m_{\ell\ell} $ ranges. The error bars correspond to the statistical uncertainty of the measurement and the shaded bands to the total experimental uncertainty. The light (dark) green band around ARTEMIDE predictions represent the nonperturbative (QCD scale) uncertainties, the darker green representing the QED FSR correction uncertainties. The range of invalidity is shaded with a gray band. The light color band around CASCADE prediction corresponds to the statistical uncertainty of the simulation and the dark color band includes the scale uncertainty. The largest bands include TMD uncertainty, added in quadrature. |
png pdf |
Figure 7-b:
Comparison to TMD based predictions. The ratio of MG5\_aMC (0 jet at NLO) + PB (CASCADE) (left) and ARTEMIDE (right) predictions to the measured differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ are presented for various $ m_{\ell\ell} $ ranges. The error bars correspond to the statistical uncertainty of the measurement and the shaded bands to the total experimental uncertainty. The light (dark) green band around ARTEMIDE predictions represent the nonperturbative (QCD scale) uncertainties, the darker green representing the QED FSR correction uncertainties. The range of invalidity is shaded with a gray band. The light color band around CASCADE prediction corresponds to the statistical uncertainty of the simulation and the dark color band includes the scale uncertainty. The largest bands include TMD uncertainty, added in quadrature. |
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Figure 8:
Comparison to resummation based predictions. The ratio of GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right) predictions to the measured differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ are presented for various $ m_{\ell\ell} $ ranges. The error bars correspond to the statistical uncertainty of the measurement and the shaded bands to the total experimental uncertainty. The light color bands around the predictions represents the statistical uncertainties and the middle color bands represents the scale uncertainties. The dark outer bands of GENEVA-$ q_\mathrm{T} $ prediction represent the resummation uncertainties. |
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Figure 8-a:
Comparison to resummation based predictions. The ratio of GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right) predictions to the measured differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ are presented for various $ m_{\ell\ell} $ ranges. The error bars correspond to the statistical uncertainty of the measurement and the shaded bands to the total experimental uncertainty. The light color bands around the predictions represents the statistical uncertainties and the middle color bands represents the scale uncertainties. The dark outer bands of GENEVA-$ q_\mathrm{T} $ prediction represent the resummation uncertainties. |
png pdf |
Figure 8-b:
Comparison to resummation based predictions. The ratio of GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right) predictions to the measured differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ are presented for various $ m_{\ell\ell} $ ranges. The error bars correspond to the statistical uncertainty of the measurement and the shaded bands to the total experimental uncertainty. The light color bands around the predictions represents the statistical uncertainties and the middle color bands represents the scale uncertainties. The dark outer bands of GENEVA-$ q_\mathrm{T} $ prediction represent the resummation uncertainties. |
png pdf |
Figure 9:
Ratios of differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower left), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower right). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 9-a:
Ratios of differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower left), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower right). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 9-b:
Ratios of differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower left), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower right). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 9-c:
Ratios of differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower left), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower right). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 9-d:
Ratios of differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower left), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower right). Details on the presentation of the results are given in Fig. 5 caption. |
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Figure 10:
Comparison to Monte Carlo predictions based on a matrix element with parton shower merging. The distributions show the ratio of differential cross sections as a function of $ p_{\mathrm{T}}(\ell\ell) $ for a given $ m_{\ell\ell} $ range to the cross section at the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. The predictions are MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (left) and \textsc{MiNNLO$ _\mathrm{PS} $ (right). Details on the presentation of the results are given in Fig. 6 caption. |
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Figure 10-a:
Comparison to Monte Carlo predictions based on a matrix element with parton shower merging. The distributions show the ratio of differential cross sections as a function of $ p_{\mathrm{T}}(\ell\ell) $ for a given $ m_{\ell\ell} $ range to the cross section at the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. The predictions are MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (left) and \textsc{MiNNLO$ _\mathrm{PS} $ (right). Details on the presentation of the results are given in Fig. 6 caption. |
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Figure 10-b:
Comparison to Monte Carlo predictions based on a matrix element with parton shower merging. The distributions show the ratio of differential cross sections as a function of $ p_{\mathrm{T}}(\ell\ell) $ for a given $ m_{\ell\ell} $ range to the cross section at the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. The predictions are MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (left) and \textsc{MiNNLO$ _\mathrm{PS} $ (right). Details on the presentation of the results are given in Fig. 6 caption. |
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Figure 11:
Comparison to TMD based predictions. The distributions show the ratio of differential cross sections as a function of $ p_{\mathrm{T}}(\ell\ell) $ for a given $ m_{\ell\ell} $ range to the cross section at the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. The predictions are MG5\_aMC (0 jet at NLO) + PB (CASCADE) (left) and ARTEMIDE (right). Details on the presentation of the results are given in Fig. 7 caption. |
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Figure 11-a:
Comparison to TMD based predictions. The distributions show the ratio of differential cross sections as a function of $ p_{\mathrm{T}}(\ell\ell) $ for a given $ m_{\ell\ell} $ range to the cross section at the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. The predictions are MG5\_aMC (0 jet at NLO) + PB (CASCADE) (left) and ARTEMIDE (right). Details on the presentation of the results are given in Fig. 7 caption. |
png pdf |
Figure 11-b:
Comparison to TMD based predictions. The distributions show the ratio of differential cross sections as a function of $ p_{\mathrm{T}}(\ell\ell) $ for a given $ m_{\ell\ell} $ range to the cross section at the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. The predictions are MG5\_aMC (0 jet at NLO) + PB (CASCADE) (left) and ARTEMIDE (right). Details on the presentation of the results are given in Fig. 7 caption. |
png pdf |
Figure 12:
Comparison to resummation based predictions. The distributions show the ratio of differential cross sections as a function of $ p_{\mathrm{T}}(\ell\ell) $ for a given $ m_{\ell\ell} $ range to the cross section at the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. The predictions are GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right). Details on the presentation of the results are given in Fig. 8 caption. |
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Figure 12-a:
Comparison to resummation based predictions. The distributions show the ratio of differential cross sections as a function of $ p_{\mathrm{T}}(\ell\ell) $ for a given $ m_{\ell\ell} $ range to the cross section at the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. The predictions are GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right). Details on the presentation of the results are given in Fig. 8 caption. |
png pdf |
Figure 12-b:
Comparison to resummation based predictions. The distributions show the ratio of differential cross sections as a function of $ p_{\mathrm{T}}(\ell\ell) $ for a given $ m_{\ell\ell} $ range to the cross section at the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. The predictions are GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right). Details on the presentation of the results are given in Fig. 8 caption. |
png pdf |
Figure 13:
Differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for one or more jets in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (lower left), and 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower right). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (1 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 13-a:
Differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for one or more jets in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (lower left), and 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower right). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (1 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 13-b:
Differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for one or more jets in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (lower left), and 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower right). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (1 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 13-c:
Differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for one or more jets in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (lower left), and 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower right). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (1 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 13-d:
Differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for one or more jets in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (lower left), and 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower right). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (1 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 14:
Comparison of the differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ to predictions in various invariant mass ranges for the one or more jets case. The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (upper left), \textsc{MiNNLO$ _\mathrm{PS} $ (upper right) and MG5\_aMC (1 jet at NLO) + PB (CASCADE) (lower). Details on the presentation of the results are given in Fig. 6 caption. |
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Figure 14-a:
Comparison of the differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ to predictions in various invariant mass ranges for the one or more jets case. The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (upper left), \textsc{MiNNLO$ _\mathrm{PS} $ (upper right) and MG5\_aMC (1 jet at NLO) + PB (CASCADE) (lower). Details on the presentation of the results are given in Fig. 6 caption. |
png pdf |
Figure 14-b:
Comparison of the differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ to predictions in various invariant mass ranges for the one or more jets case. The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (upper left), \textsc{MiNNLO$ _\mathrm{PS} $ (upper right) and MG5\_aMC (1 jet at NLO) + PB (CASCADE) (lower). Details on the presentation of the results are given in Fig. 6 caption. |
png pdf |
Figure 14-c:
Comparison of the differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ to predictions in various invariant mass ranges for the one or more jets case. The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (upper left), \textsc{MiNNLO$ _\mathrm{PS} $ (upper right) and MG5\_aMC (1 jet at NLO) + PB (CASCADE) (lower). Details on the presentation of the results are given in Fig. 6 caption. |
png pdf |
Figure 15:
Comparison of the differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ to predictions in various invariant mass ranges for the one or more jets case. The measurement is compared with GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right) predictions. Details on the presentation of the results are given in Fig. 8 caption. |
png pdf |
Figure 15-a:
Comparison of the differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ to predictions in various invariant mass ranges for the one or more jets case. The measurement is compared with GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right) predictions. Details on the presentation of the results are given in Fig. 8 caption. |
png pdf |
Figure 15-b:
Comparison of the differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ to predictions in various invariant mass ranges for the one or more jets case. The measurement is compared with GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right) predictions. Details on the presentation of the results are given in Fig. 8 caption. |
png pdf |
Figure 16:
Ratios of differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for one or more jets in various invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), and 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (1 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 16-a:
Ratios of differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for one or more jets in various invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), and 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (1 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 16-b:
Ratios of differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for one or more jets in various invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), and 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (1 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 16-c:
Ratios of differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for one or more jets in various invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), and 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (1 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 17:
Comparison of the ratios of differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for one or more jets in various invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. The measured ratio is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (upper left), \textsc{MiNNLO$ _\mathrm{PS} $ (upper right) and MG5\_aMC (1 jet at NLO) + PB (CASCADE) (lower). Details on the presentation of the results are given in Fig. 6 caption. |
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Figure 17-a:
Comparison of the ratios of differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for one or more jets in various invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. The measured ratio is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (upper left), \textsc{MiNNLO$ _\mathrm{PS} $ (upper right) and MG5\_aMC (1 jet at NLO) + PB (CASCADE) (lower). Details on the presentation of the results are given in Fig. 6 caption. |
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Figure 17-b:
Comparison of the ratios of differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for one or more jets in various invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. The measured ratio is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (upper left), \textsc{MiNNLO$ _\mathrm{PS} $ (upper right) and MG5\_aMC (1 jet at NLO) + PB (CASCADE) (lower). Details on the presentation of the results are given in Fig. 6 caption. |
png pdf |
Figure 17-c:
Comparison of the ratios of differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for one or more jets in various invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. The measured ratio is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (upper left), \textsc{MiNNLO$ _\mathrm{PS} $ (upper right) and MG5\_aMC (1 jet at NLO) + PB (CASCADE) (lower). Details on the presentation of the results are given in Fig. 6 caption. |
png pdf |
Figure 18:
Comparison of the ratios of differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for one or more jets in various invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. The measured ratio is compared with GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right) predictions. Details on the presentation of the results are given in Fig. 8 caption. |
png pdf |
Figure 18-a:
Comparison of the ratios of differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for one or more jets in various invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. The measured ratio is compared with GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right) predictions. Details on the presentation of the results are given in Fig. 8 caption. |
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Figure 18-b:
Comparison of the ratios of differential cross sections in $ p_{\mathrm{T}}(\ell\ell) $ for one or more jets in various invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. The measured ratio is compared with GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right) predictions. Details on the presentation of the results are given in Fig. 8 caption. |
png pdf |
Figure 19:
Differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (0 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
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Figure 19-a:
Differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (0 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 19-b:
Differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (0 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 19-c:
Differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (0 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 19-d:
Differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (0 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
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Figure 19-e:
Differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ in various invariant mass ranges: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $ (upper right), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (middle left), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (middle right), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (0 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 20:
Comparison of the differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ to predictions in various $ m_{\ell\ell} $ ranges. The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (upper left), \textsc{MiNNLO$ _\mathrm{PS} $ (upper right) and MG5\_aMC + PB (CASCADE) (lower). Details on the presentation of the results are given in Fig. 6 caption. |
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Figure 20-a:
Comparison of the differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ to predictions in various $ m_{\ell\ell} $ ranges. The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (upper left), \textsc{MiNNLO$ _\mathrm{PS} $ (upper right) and MG5\_aMC + PB (CASCADE) (lower). Details on the presentation of the results are given in Fig. 6 caption. |
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Figure 20-b:
Comparison of the differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ to predictions in various $ m_{\ell\ell} $ ranges. The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (upper left), \textsc{MiNNLO$ _\mathrm{PS} $ (upper right) and MG5\_aMC + PB (CASCADE) (lower). Details on the presentation of the results are given in Fig. 6 caption. |
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Figure 20-c:
Comparison of the differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ to predictions in various $ m_{\ell\ell} $ ranges. The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (upper left), \textsc{MiNNLO$ _\mathrm{PS} $ (upper right) and MG5\_aMC + PB (CASCADE) (lower). Details on the presentation of the results are given in Fig. 6 caption. |
png pdf |
Figure 21:
Comparison of the differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ to predictions in various $ m_{\ell\ell} $ ranges. The measurement is compared with GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right) predictions. Details on the presentation of the results are given in Fig. 8 caption. |
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Figure 21-a:
Comparison of the differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ to predictions in various $ m_{\ell\ell} $ ranges. The measurement is compared with GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right) predictions. Details on the presentation of the results are given in Fig. 8 caption. |
png pdf |
Figure 21-b:
Comparison of the differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ to predictions in various $ m_{\ell\ell} $ ranges. The measurement is compared with GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right) predictions. Details on the presentation of the results are given in Fig. 8 caption. |
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Figure 22:
Ratios of differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ for invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower left), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower right). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (0 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 22-a:
Ratios of differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ for invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower left), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower right). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (0 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 22-b:
Ratios of differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ for invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower left), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower right). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (0 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 22-c:
Ratios of differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ for invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower left), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower right). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (0 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 22-d:
Ratios of differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ for invariant mass ranges with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $: 50 $ < m_{\ell\ell} < 76\,\text{Ge\hspace{-.08em}V} $ (upper left), 106 $ < m_{\ell\ell} < 170\,\text{Ge\hspace{-.08em}V} $ (upper right), 170 $ < m_{\ell\ell} < 350\,\text{Ge\hspace{-.08em}V} $ (lower left), and 350 $ < m_{\ell\ell} < 1000\,\text{Ge\hspace{-.08em}V} $ (lower right). The measurement is compared with MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (blue dots), \textsc{MiNNLO$ _\mathrm{PS} $ (green diamonds) and MG5\_aMC (0 jet at NLO)+ PB (CASCADE) (red triangles). Details on the presentation of the results are given in Fig. 5 caption. |
png pdf |
Figure 23:
Ratios of differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ for invariant $ m_{\ell\ell} $ with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. Compared to model predictions from MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (upper left), \textsc{MiNNLO$ _\mathrm{PS} $ (upper right) and MG5\_aMC (0 jet at NLO) + PB (CASCADE) (lower). Details on the presentation of the results are given in Fig. 6 caption. |
png pdf |
Figure 23-a:
Ratios of differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ for invariant $ m_{\ell\ell} $ with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. Compared to model predictions from MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (upper left), \textsc{MiNNLO$ _\mathrm{PS} $ (upper right) and MG5\_aMC (0 jet at NLO) + PB (CASCADE) (lower). Details on the presentation of the results are given in Fig. 6 caption. |
png pdf |
Figure 23-b:
Ratios of differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ for invariant $ m_{\ell\ell} $ with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. Compared to model predictions from MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (upper left), \textsc{MiNNLO$ _\mathrm{PS} $ (upper right) and MG5\_aMC (0 jet at NLO) + PB (CASCADE) (lower). Details on the presentation of the results are given in Fig. 6 caption. |
png pdf |
Figure 23-c:
Ratios of differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ for invariant $ m_{\ell\ell} $ with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. Compared to model predictions from MG5\_aMC (0, 1, and 2 jets at NLO) + PYTHIA8 (upper left), \textsc{MiNNLO$ _\mathrm{PS} $ (upper right) and MG5\_aMC (0 jet at NLO) + PB (CASCADE) (lower). Details on the presentation of the results are given in Fig. 6 caption. |
png pdf |
Figure 24:
Ratios of differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ for invariant $ m_{\ell\ell} $ with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. Compared to model predictions from GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right). Details on the presentation of the results are given in Fig. 8 caption. |
png pdf |
Figure 24-a:
Ratios of differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ for invariant $ m_{\ell\ell} $ with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. Compared to model predictions from GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right). Details on the presentation of the results are given in Fig. 8 caption. |
png pdf |
Figure 24-b:
Ratios of differential cross sections in $ \varphi^{*}_{\eta}(\ell\ell) $ for invariant $ m_{\ell\ell} $ with respect to the peak region 76 $ < m_{\ell\ell} < 106\,\text{Ge\hspace{-.08em}V} $. Compared to model predictions from GENEVA-$ \tau $ (left) and GENEVA-$ q_\mathrm{T} $ (right). Details on the presentation of the results are given in Fig. 8 caption. |
| Summary |
| Measurements of differential Drell--Yan cross sections in proton-proton collisions at $ \sqrt{s} = $ 13 TeV in the dielectron and dimuon final states are presented, using data collected with the CMS detector, corresponding to an integrated luminosity of 36.3 fb$ ^{-1} $. The measurements are corrected for detector effects and the two leptonic channels are combined. Differential cross sections in the dilepton transverse momentum, $ p_{\mathrm{T}}(\ell\ell) $, and in the lepton angular variable $ \varphi^{*}_{\eta} $ are measured for different values of the dilepton mass, $ m_{\ell\ell} $, between 50 GeV and 1 TeV. To highlight the evolution with the dilepton mass scale, ratios of these distributions for various masses are presented. In addition, dilepton transverse momentum distributions are shown in the presence of at least one jet within the detector acceptance. The rising behaviour of the Drell--Yan inclusive cross section at small $ p_{\mathrm{T}}(\ell\ell) $ is attributed to soft QCD radiations, whereas the tail at large $ p_{\mathrm{T}}(\ell\ell) $ is only expected to be well described by models relying on higher-order matrix element calculations. Therefore, this variable provides a good sensitivity to initial-state QCD radiations and can be compared with different predictions relying on matrix element calculations at different orders and using different methods to resum the initial-state soft QCD radiations. The measurements show that the peak in the $ p_{\mathrm{T}}(\ell\ell) $ distribution, located around 5 GeV, is not significantly modified by changing the $ m_{\ell\ell} $ value in the covered range. However, for higher values of $ m_{\ell\ell} $ above the peak, the $ p_{\mathrm{T}}(\ell\ell) $ distributions fall less steeply. The $ \varphi^{*}_{\eta} $ variable, highly correlated with $ p_{\mathrm{T}}(\ell\ell) $, offers a complementary access to the underlying QCD dynamics. Since it is based only on angle measurements of the final-state charged leptons, it offers, a priori, measurements with greater accuracy. However, these measurements demonstrate that the $ \varphi^{*}_{\eta} $ distributions discriminate between the models less than the $ p_{\mathrm{T}}(\ell\ell) $ distributions, since they wash out the peak structure of the $ p_{\mathrm{T}}(\ell\ell) $ distributions, which reflect the initial-state QCD radiation effects in a more detailed way. \begintolerant 5000 This publication presents comparisons of the measurements to six predictions using different treatments of soft initial-state QCD radiations. Two of them, MG5\_aMC + PYTHIA 8 and \textsc{MiNNLO$ _\mathrm{PS} $, are based on a matrix element calculation merged with parton showers. Two others, ARTEMIDE and CASCADE use transverse momentum dependent parton distributions (TMD). Finally, GENEVA combines a higher-order resummation with a Drell--Yan calculation at next-to-next-to-leading order (NNLO), in two different ways. One carries out the resummation at next-to-next-to-leading logarithm in the 0-jettiness variable $ \tau_0 $, the other at $ \mathrm{N^3LL} $ in the $ q_\mathrm{T} $ variable. \endtolerant \begintolerant 5000 The comparison of the measurement with the MG5\_aMC + PYTHIA 8 Monte Carlo predictions using matrix element calculations including $ \mathrm{Z} + 0,1, $ 2 partons at next-to-leading order (NLO) merged with a parton shower, shows generally good agreement, except at $ p_{\mathrm{T}}(\ell\ell) $ values below 10 GeV both for the inclusive and one jet cross sections. This disagreement is enhanced for masses away from the Z mass peak and is more pronounced for the higher dilepton masses, reaching 20% for the highest mass bin. \endtolerant \begintolerant 5000 The \textsc{MiNNLO$ _\mathrm{PS} $ prediction provides the best global description of the data among the predictions presented in this paper, both for the inclusive and the one jet cross sections. This approach, based on NNLO matrix element and PYTHIA8 parton shower and MPI, describes well the large $ p_{\mathrm{T}}(\ell\ell) $ cross sections and ratios, except for $ p_{\mathrm{T}}(\ell\ell) $ values above 400 GeV for dilepton masses around the Z mass peak. A good description of the medium and low $ p_{\mathrm{T}}(\ell\ell) $ cross sections is obtained using a modified primordial $ k_{\mathrm{T}} $ parameter of the CP5 parton shower tune. \endtolerant \begintolerant 5000 MG5\_aMC + PB(CASCADE) predictions are based on Parton Branching TMDs obtained only from a fit to electron-proton deep inelastic scattering measurements performed at HERA. These TMDs are merged with NLO matrix element calculations. Low $ p_{\mathrm{T}}(\ell\ell) $ values are globally well described but with too low cross sections at medium $ p_{\mathrm{T}}(\ell\ell) $ values. This discrepancy increases with increasing $ m_{\ell\ell} $ in a way similar to the MG5\_aMC + PYTHIA 8 predictions. The high part of the $ p_{\mathrm{T}}(\ell\ell) $ distribution is not described by CASCADE due to missing higher fixed-order terms. The model can not describe the low $ p_{\mathrm{T}}(\ell\ell) $ region of the cross section in the presence of one jet due to the missing double parton scattering contributions. The recent inclusion of multi-jet merging allows a larger $ p_{\mathrm{T}}(\ell\ell) $\ region to be described as well. \endtolerant \begintolerant 5000 ARTEMIDE provides predictions based on TMDs extracted from previous measurements including the Drell-Yan transverse momentum cross section at the LHC at the Z mass peak. By construction, the validity of ARTEMIDE predictions are limited to the range $ p_{\mathrm{T}}(\ell\ell) < 0.2 \ m_{\ell\ell} $. In that range, they describe well the present measurements up to the highest dilepton masses. \endtolerant \begintolerant 5000 The GENEVA prediction, combining resummation in the 0-jettiness variable $ \tau_0 $ (GENEVA-$ \tau $) and NNLO matrix element does not describe the measurement well for $ p_{\mathrm{T}}(\ell\ell) $ values below 40 GeV. For the high $ p_{\mathrm{T}}(\ell\ell) $ region the inclusion of NNLO in the matrix element provides a good description of the measured cross section. The recent GENEVA prediction (GENEVA-$ q_\mathrm{T} $), using a $ q_\mathrm{T} $ resummation, provides a much better description of the measured inclusive cross sections, describing very well the data in the full $ p_{\mathrm{T}}(\ell\ell) $ range except for middle $ p_{\mathrm{T}}(\ell\ell) $ values in the lowest mass bin. Both GENEVA approaches predict too hard $ p_{\mathrm{T}}(\ell\ell) $ spectra for the one jet cross sections. \endtolerant \begintolerant 5000 The ratio distributions presented in this paper confirm most of the observations based on the comparison between the measurement and the predictions at the cross section level. The observed scale dependence is well described by the different models. Furthermore the partial cancellation of the uncertainties in the cross section ratios allows a higher level of precision to be reached for both the measurement and the predictions. \endtolerant \begintolerant 5000 The present analysis shows the relevance of measuring the Drell--Yan cross section in a wide range in dilepton masses to probe the interplay between the transverse momentum and the mass scales of the process. Important theoretical efforts have been made during the last decade to improve the detailed description of high energy processes involving multiple scales and partonic final states. The understanding of the Drell--Yan process directly benefited from these developments. The present paper shows that they individually describe the measurements well in the regions they were designed for. Nevertheless, no model is able to reproduce all dependencies over the complete covered range. Further progress might come from combining these approaches. \endtolerant |
| Additional Resources |
| Compressed tarball (113M) including measured differential cross sections as a function of ${p_{\mathrm{T}}}(\ell\ell)$ and ${\varphi^{*}_{\eta}}$ in five ${m_{{\ell} {\ell} }}$ mass intervals, along with corresponding covariance matrices. | |
| Below are these results, in yaml format, as described in the HepData submission file. In all measurements, the values are normalized by the bin width. | |
Dilepton
transverse momentum, ${p_{\mathrm{T}}}(\ell\ell)$.
| |
Dilepton
transverse momentum, ${p_{\mathrm{T}}}(\ell\ell)$. At least
one jet is required.
| |
${\varphi^{*}_{\eta}}$ observable.
| |
Dilepton
transverse momentum, ${p_{\mathrm{T}}}(\ell\ell)$. Normalised
to the [76-106] GeV mass interval.
| |
Dilepton
transverse momentum, ${p_{\mathrm{T}}}(\ell\ell)$. Normalised
to the [76-106] GeV mass interval. At least one jet is required.
| |
${\varphi^{*}_{\eta}}$ observable. Normalised
to the [76-106] GeV mass interval.
| |
Response matrices for ${p_{\mathrm{T}}}(\ell\ell)$.
| |
Response matrices for ${p_{\mathrm{T}}}(\ell\ell)$. At
least one jet is required.
| |
Response matrices for ${\varphi^{*}_{\eta}}$.
| |
| License cc-by-4.0. The content of these files can be shared and adapted but you must give appropriate credit and cannot restrict access to others. |
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