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| CMS-PAS-SMP-17-010 | ||
| Measurements of differential Z boson production cross sections in pp collisions with CMS at $\sqrt{s}= $ 13 TeV | ||
| CMS Collaboration | ||
| May 2019 | ||
| Abstract: We present measurements of the differential $\mathrm{Z}/\gamma^{*}$ production cross sections in pp collisions at $\sqrt{s}= $ 13 TeV in the electron and muon final states. The data collected with the CMS detector at the LHC correspond to an integrated luminosity of 35.9 fb$^{-1}$. The measured fiducial inclusive cross section times branching fraction agrees with next-to-next-to-leading-order QCD calculations. Distributions of the transverse momentum, the angular variable $\phi^{*}$, and the rapidity of lepton pairs are measured. The data are corrected for detector effects and compared to theoretical predictions. | ||
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Links:
CDS record (PDF) ;
CADI line (restricted) ;
These preliminary results are superseded in this paper, JHEP 12 (2019) 061. The superseded preliminary plots can be found here. |
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| Figures | |
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Figure 1:
The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ (top), rapidity $| {y}^{\mathrm{Z}}|$ (middle), and $\phi ^*$ (bottom). The left plots pertain to the muon-pair final state and the right plots pertain to the electron-pair final state. The uncertainty in the trigger efficiency is included as part of the lepton identification uncertainty. |
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Figure 1-a:
The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$. The plot pertains to the muon-pair final state. The uncertainty in the trigger efficiency is included as part of the lepton identification uncertainty. |
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Figure 1-b:
The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$. The plot pertains to the electron-pair final state. The uncertainty in the trigger efficiency is included as part of the lepton identification uncertainty. |
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Figure 1-c:
The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of rapidity $| {y}^{\mathrm{Z}}|$. The plot pertains to the muon-pair final state. The uncertainty in the trigger efficiency is included as part of the lepton identification uncertainty. |
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Figure 1-d:
The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of rapidity $| {y}^{\mathrm{Z}}|$. The plot pertains to the electron-pair final state. The uncertainty in the trigger efficiency is included as part of the lepton identification uncertainty. |
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Figure 1-e:
The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of $\phi ^*$. The plot pertains to the muon-pair final state. The uncertainty in the trigger efficiency is included as part of the lepton identification uncertainty. |
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Figure 1-f:
The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of $\phi ^*$. The plot pertains to the electron-pair final state. The uncertainty in the trigger efficiency is included as part of the lepton identification uncertainty. |
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Figure 2:
The relative statistical and systematic uncertainties from various sources for the normalized cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ (top), rapidity $| {y}^{\mathrm{Z}}|$ (middle), and $\phi ^*$ (bottom). The left plots pertain to the muon-pair final state and the right plots pertain to the electron-pair final state. |
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Figure 2-a:
The relative statistical and systematic uncertainties from various sources for the normalized cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$. The plot pertains to the muon-pair final state. |
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Figure 2-b:
The relative statistical and systematic uncertainties from various sources for the normalized cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$. The plot pertains to the electron-pair final state. |
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Figure 2-c:
The relative statistical and systematic uncertainties from various sources for the normalized cross section measurements in bins of rapidity $| {y}^{\mathrm{Z}}|$. The plot pertains to the muon-pair final state. |
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Figure 2-d:
The relative statistical and systematic uncertainties from various sources for the normalized cross section measurements in bins of rapidity $| {y}^{\mathrm{Z}}|$. The plot pertains to the electron-pair final state. |
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Figure 2-e:
The relative statistical and systematic uncertainties from various sources for the normalized cross section measurements in bins of $\phi ^*$. The plot pertains to the muon-pair final state. |
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Figure 2-f:
The relative statistical and systematic uncertainties from various sources for the normalized cross section measurements in bins of $\phi ^*$. The plot pertains to the electron-pair final state. |
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Figure 3:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < | {y}^{\mathrm{Z}}| < $ 0.4 bin (top left), 0.4 $ < | {y}^{\mathrm{Z}}| < $ 0.8 bin (top right), 0.8 $ < | {y}^{\mathrm{Z}}| < $ 1.2 bin (middle left), 1.2 $ < | {y}^{\mathrm{Z}}| < $ 1.6 bin (middle right), and 1.6 $ < | {y}^{\mathrm{Z}}| < $ 2.4 bin (bottom) in the muon-pair final state. |
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Figure 3-a:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < | {y}^{\mathrm{Z}}| < $ 0.4 bin in the muon-pair final state. |
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Figure 3-b:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.4 $ < | {y}^{\mathrm{Z}}| < $ 0.8 bin in the muon-pair final state. |
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Figure 3-c:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.8 $ < | {y}^{\mathrm{Z}}| < $ 1.2 bin in the muon-pair final state. |
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Figure 3-d:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.2 $ < | {y}^{\mathrm{Z}}| < $ 1.6 bin in the muon-pair final state. |
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Figure 3-e:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.6 $ < | {y}^{\mathrm{Z}}| < $ 2.4 bin in the muon-pair final state. |
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Figure 4:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < | {y}^{\mathrm{Z}}| < $ 0.4 bin (top left), 0.4 $ < | {y}^{\mathrm{Z}}| < $ 0.8 bin (top right), 0.8 $ < | {y}^{\mathrm{Z}}| < $ 1.2 bin (middle left), 1.2 $ < | {y}^{\mathrm{Z}}| < $ 1.6 bin (middle right), and 1.6 $ < | {y}^{\mathrm{Z}}| < $ 2.4 bin (bottom) in the electron-pair final state. |
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Figure 4-a:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < | {y}^{\mathrm{Z}}| < $ 0.4 bin, in the electron-pair final state. |
png pdf |
Figure 4-b:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.4 $ < | {y}^{\mathrm{Z}}| < $ 0.8 bin, in the electron-pair final state. |
png pdf |
Figure 4-c:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.8 $ < | {y}^{\mathrm{Z}}| < $ 1.2 bin, in the electron-pair final state. |
png pdf |
Figure 4-d:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.2 $ < | {y}^{\mathrm{Z}}| < $ 1.6 bin, in the electron-pair final state. |
png pdf |
Figure 4-e:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.6 $ < | {y}^{\mathrm{Z}}| < $ 2.4 bin, in the electron-pair final state. |
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Figure 5:
The measured absolute cross sections (left) in bins of $| {y}^{\mathrm{Z}}|$ for the muon-pair (top) and electron-pair (middle) final states, and for the combination (bottom). The ratios of the predictions to the data are also shown (right). The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 5-a:
The measured absolute cross sections in bins of $| {y}^{\mathrm{Z}}|$ for the muon-pair final state. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 5-b:
The ratios of the predictions to the data in bins of $| {y}^{\mathrm{Z}}|$ for the muon-pair final state. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 5-c:
The measured absolute cross sections in bins of $| {y}^{\mathrm{Z}}|$ for the electron-pair final state.The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 5-d:
The ratios of the predictions to the data in bins of $| {y}^{\mathrm{Z}}|$ for the electron-pair final state. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 5-e:
The measured absolute cross sections in bins of $| {y}^{\mathrm{Z}}|$ for the combination muon and electron-pair final states.The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 5-f:
The ratios of the predictions to the data in bins of $| {y}^{\mathrm{Z}}|$ for the combination muon and electron-pair final states.The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 6:
The measured absolute cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the muon-pair (top) and electron-pair (middle) final states, and for the combination (bottom). The ratios of the predictions to the data are also shown (right). The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 6-a:
The measured absolute cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the muon-pair final state. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 6-b:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the muon-pair final state. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 6-c:
The measured absolute cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the electron-pair final state. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 6-d:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the electron-pair final state. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 6-e:
The measured absolute cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the combination of muon and electron-pair final states. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 6-f:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the combination of muon and electron-pair final states. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 7:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the combination of the muon-pair and electron-pair final states. The shaded band around the data points (black) correspond to the total experimental uncertainty. The left plot shows comparisons to predictions with MadGraph5_aMC@NLO (square red markers), Resbos (green triangles), and GENEVA (blue circles). The right plot shows the $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ distribution for $ {p_{\mathrm {T}}} > 32 GeV $ compared to predictions with MadGraph5_aMC@NLO (square red markers), $\mathrm{Z} $ + 1 jet at NNLO (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. Only the statistical uncertainties are shown for the predictions with Resbos. |
png pdf |
Figure 7-a:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the combination of the muon-pair and electron-pair final states. The shaded band around the data points (black) correspond to the total experimental uncertainty. The plot shows comparisons to predictions with MadGraph5_aMC@NLO (square red markers), Resbos (green triangles), and GENEVA (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. Only the statistical uncertainties are shown for the predictions with Resbos. |
png pdf |
Figure 7-b:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the combination of the muon-pair and electron-pair final states. The shaded band around the data points (black) correspond to the total experimental uncertainty. The plot shows the $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ distribution for $ {p_{\mathrm {T}}} > 32 GeV $ compared to predictions with MadGraph5_aMC@NLO (square red markers), $\mathrm{Z} $ + 1 jet at NNLO (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. Only the statistical uncertainties are shown for the predictions with Resbos. |
png pdf |
Figure 8:
The measured absolute cross sections (left) in bins of $\phi ^*$ for the muon-pair (top) and electron-pair (middle) final states, and for the combination (bottom). The ratios of the predictions to the data are also shown (right). The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 8-a:
The measured absolute cross sections in bins of $\phi ^*$ for the muon-pair final state. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 8-b:
The ratios of the predictions to the data in bins of $\phi ^*$ for the muon-pair final state. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 8-c:
The measured absolute cross sections in bins of $\phi ^*$ for the electron-pair final state. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 8-d:
The ratios of the predictions to the data in bins of $\phi ^*$ for the electron-pair final state. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 8-e:
The measured absolute cross sections in bins of $\phi ^*$ for the combination of muon and electron-pair final states. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 8-f:
The ratios of the predictions to the data in bins of $\phi ^*$ for the combination of muon and electron-pair final states. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 9:
The measured absolute cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < | {y}^{\mathrm{Z}}| < $ 0.4 region. The ratios of the predictions to the data are also shown (right). The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 9-a:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < | {y}^{\mathrm{Z}}| < $ 0.4 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 9-b:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < | {y}^{\mathrm{Z}}| < $ 0.4 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 10:
The measured absolute cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.4 $ < | {y}^{\mathrm{Z}}| < $ 0.8 region. The ratios of the predictions to the data are also shown (right). The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 10-a:
The measured absolute cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.4 $ < | {y}^{\mathrm{Z}}| < $ 0.8 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 10-b:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.4 $ < | {y}^{\mathrm{Z}}| < $ 0.8 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 11:
The measured absolute cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.8 $ < | {y}^{\mathrm{Z}}| < $ 1.2 region. The ratios of the predictions to the data are also shown (right). The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 11-a:
The measured absolute cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.8 $ < | {y}^{\mathrm{Z}}| < $ 1.2 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 11-b:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.8 $ < | {y}^{\mathrm{Z}}| < $ 1.2 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 12:
The measured absolute cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.2 $ < | {y}^{\mathrm{Z}}| < $ 1.6 region. The ratios of the predictions to the data are also shown (right). The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 12-a:
The measured absolute cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.2 $ < | {y}^{\mathrm{Z}}| < $ 1.6 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 12-b:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.2 $ < | {y}^{\mathrm{Z}}| < $ 1.6 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 13:
The measured absolute cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.6 $ < | {y}^{\mathrm{Z}}| < $ 2.4 region. The ratios of the predictions to the data are also shown (right). The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 13-a:
The measured absolute cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.6 $ < | {y}^{\mathrm{Z}}| < $ 2.4 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 13-b:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.6 $ < | {y}^{\mathrm{Z}}| < $ 2.4 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 14:
The measured normalized cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ (top), $\phi ^*$ (middle), and $| {y}^{\mathrm{Z}}|$ (bottom) for the combined measurement. The ratios of the predictions to the data are also shown (right). The shaded band around the data points (black) correspond to the total experimental uncertainty. The $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ and $\phi ^*$ measurements are compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The $| {y}^{\mathrm{Z}}|$ measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 14-a:
The measured normalized cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the combined measurement. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 14-b:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the combined measurement. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles).The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 14-c:
The measured normalized cross sections in bins of $\phi ^*$ for the combined measurement. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 14-d:
The ratios of the predictions to the data in bins of $\phi ^*$ for the combined measurement. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 14-e:
The measured normalized cross sections in bins of $| {y}^{\mathrm{Z}}|$ for the combined measurement. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 14-f:
The ratios of the predictions to the data in bins of $| {y}^{\mathrm{Z}}|$ for the combined measurement. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 15:
The measured normalized cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < | {y}^{\mathrm{Z}}| < $ 0.4 region. The ratios of the predictions to the data are also shown (right). The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 15-a:
The measured normalized cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < | {y}^{\mathrm{Z}}| < $ 0.4 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 15-b:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < | {y}^{\mathrm{Z}}| < $ 0.4 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 16:
The measured normalized cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.4 $ < | {y}^{\mathrm{Z}}| < $ 0.8 region. The ratios of the predictions to the data are also shown (right). The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 16-a:
The measured normalized cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.4 $ < | {y}^{\mathrm{Z}}| < $ 0.8 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 16-b:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.4 $ < | {y}^{\mathrm{Z}}| < $ 0.8 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 17:
The measured normalized cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.8 $ < | {y}^{\mathrm{Z}}| < $ 1.2 region. The ratios of the predictions to the data are also shown (right). The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 17-a:
The measured normalized cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.8 $ < | {y}^{\mathrm{Z}}| < $ 1.2 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 17-b:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.8 $ < | {y}^{\mathrm{Z}}| < $ 1.2 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 18:
The measured normalized cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.2 $ < | {y}^{\mathrm{Z}}| < $ 1.6 region. The ratios of the predictions to the data are also shown (right). The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 18-a:
The measured normalized cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.2 $ < | {y}^{\mathrm{Z}}| < $ 1.6 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 18-b:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.2 $ < | {y}^{\mathrm{Z}}| < $ 1.6 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 19:
The measured normalized cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.6 $ < | {y}^{\mathrm{Z}}| < $ 2.4 region. The ratios of the predictions to the data are also shown (right). The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 19-a:
The measured normalized cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.6 $ < | {y}^{\mathrm{Z}}| < $ 2.4 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
png pdf |
Figure 19-b:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.6 $ < | {y}^{\mathrm{Z}}| < $ 2.4 region. The shaded band around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to predictions with MadGraph5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MiNLO (blue circles). The error bands around the predictions correspond to the statistical, PDF, and scale uncertainties. |
| Tables | |
png pdf |
Table 1:
Summary of the systematic uncertainties for the inclusive fiducial cross section measurements. |
png pdf |
Table 2:
The measured inclusive fiducial cross sections in the muon-pair and electron-pair final states. The combined measurement is also shown. |
| Summary |
| Measurements of differential $\mathrm{Z}/\gamma^{*}$ production cross sections in pp collisions at $\sqrt{s} = $ 13 TeV in the electron and muon final state are presented. The data collected with the CMS detector at the LHC correspond to an integrated luminosity of 35.9 fb$^{-1}$. Distributions of the transverse momentum, the angular variable $\phi^{*}$, and the rapidity of lepton pairs are measured. The data are corrected for detector effects and compared to various theory predictions. The measurements provide sensitive tests of theoretical predictions using fixed order, resummed, and parton shower calculations. The measured normalized cross section uncertainties are smaller than 0.5% for $\phi^* < $ 0.5 and for ${p_{\mathrm{T}}}^{\mathrm{Z}} < $ 50 GeV. |
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