CMS-PAS-SMP-20-004 | ||
Measurement of W and Z boson inclusive cross sections in proton-proton collisions at $ \sqrt{s}= $ 5.02 and 13 TeV | ||
CMS Collaboration | ||
21 August 2023 | ||
Abstract: Measurements of total inclusive and fiducial W and Z boson production cross sections in proton-proton collisions at 5.02 TeV and 13 TeV are presented. Electron and muon decay modes are studied in the data collected with the CMS detector in 2017, in dedicated runs with reduced instantaneous luminosity. The data sets correspond to integrated luminosities of 298 $ \pm $ 6 pb$^{-1}$- at 5.02 TeV and 201 $ \pm $ 3 pb$^{-1}$- at 13 TeV. The products of the measured total inclusive cross sections and the branching fractions are $ \sigma(\mathrm{pp} \to \mathrm{W}^{\pm} + X)\mathcal{B}(\mathrm{W}^{\pm} \to \ell^{\pm}\nu ) = $ 7300 $ \pm $ 10 (stat) $\pm$ 30 (syst) $\pm$ 140 (lum) pb, and $ \sigma(\mathrm{pp} \to \mathrm{Z} + X)\mathcal{B}(\mathrm{Z} \to \ell^+\ell^-) = $ 669 $ \pm $ 2 (stat) $\pm$ 6 (syst) $\pm$ 13 (lum) pb for the dilepton invariant mass in the range of 60 to 120 GeV at 5.02 TeV, and correspondingly 21040 $ \pm $ 10 (stat) $\pm$ 180 (syst) $\pm$ 360 (lum) pb and 2006 $ \pm $ 4 (stat) $\pm$ 18 (syst) $\pm$ 33 (lum) pb at 13 TeV. The measured values agree with cross section calculations at next-to-next-to-leading-order in perturbative QCD. Inclusive and fiducial cross sections, ratios of cross sections of W$^{\pm} $ to Z and W$^{+} $ to W$^{-} $, and the double ratios at different center-of-mass energies are reported. | ||
Links: CDS record (PDF) ; CADI line (restricted) ; |
Figures | |
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Figure 1:
Distributions of $ m_{\mathrm{e}^+\mathrm{e}^-} $ (left) and $ m_{\mu^+\mu^-} $ (right) for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 1-a:
Distributions of $ m_{\mathrm{e}^+\mathrm{e}^-} $ (left) and $ m_{\mu^+\mu^-} $ (right) for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 1-b:
Distributions of $ m_{\mathrm{e}^+\mathrm{e}^-} $ (left) and $ m_{\mu^+\mu^-} $ (right) for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 1-c:
Distributions of $ m_{\mathrm{e}^+\mathrm{e}^-} $ (left) and $ m_{\mu^+\mu^-} $ (right) for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 1-d:
Distributions of $ m_{\mathrm{e}^+\mathrm{e}^-} $ (left) and $ m_{\mu^+\mu^-} $ (right) for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 2:
Distributions of $ m_{\mathrm{T}} $ in the W$^{+} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 2-a:
Distributions of $ m_{\mathrm{T}} $ in the W$^{+} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 2-b:
Distributions of $ m_{\mathrm{T}} $ in the W$^{+} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 2-c:
Distributions of $ m_{\mathrm{T}} $ in the W$^{+} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 2-d:
Distributions of $ m_{\mathrm{T}} $ in the W$^{+} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 3:
Distributions of $ m_{\mathrm{T}} $ in the W$^{-} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 3-a:
Distributions of $ m_{\mathrm{T}} $ in the W$^{-} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 3-b:
Distributions of $ m_{\mathrm{T}} $ in the W$^{-} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 3-c:
Distributions of $ m_{\mathrm{T}} $ in the W$^{-} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 3-d:
Distributions of $ m_{\mathrm{T}} $ in the W$^{-} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 4:
Comparisons of the fiducial cross sections and cross section ratios between measurements and the theoretical calculations from DYTURBO with different PDF sets at 5.02 TeV. The uncertainties in the theoretical predictions include the statistical uncertainty, and the PDF, $ \alpha_{s} $, and renormalization and factorization scale uncertainties. The measured values and theoretical predictions (DYTURBO with NNPDF 3.1 as the example) are also shown in the right part of the plot. |
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Figure 5:
Comparisons of the fiducial cross sections and cross section ratios between measurements and the theoretical calculations from DYTURBO with different PDF sets at 13 TeV. The uncertainties in the theoretical predictions include the statistical uncertainty, and the PDF, $ \alpha_{s} $, and renormalization and factorization scale uncertainties. The measured values and theoretical predictions (DYTURBO with NNPDF 3.1 as the example) are also shown in the right part of the plot. |
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Figure 6:
Comparisons of the fiducial cross section ratios and double ratios between 13 TeV and 5.02 TeV, between measurements and the theoretical calculations from DYTURBO with different PDF sets. The uncertainties in the theoretical predictions include the statistical uncertainty, and the PDF, $ \alpha_{s} $, and renormalization and factorization scale uncertainties. The measured values and theoretical predictions (DYTURBO with NNPDF 3.1 as the example) are also shown in the right part of the plot. |
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Figure 7:
Comparisons of the total inclusive cross sections and cross section ratios between measurements and the theoretical calculations from DYTURBO with different PDF sets at 5.02 TeV. The uncertainties in the theoretical predictions include the statistical uncertainty, and the PDF, $ \alpha_{s} $, and renormalization and factorization scale uncertainties. The measured values and theoretical predictions (DYTURBO with NNPDF 3.1 as the example) are also shown in the right part of the plot. |
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Figure 8:
Comparisons of the total inclusive cross sections and cross section ratios between measurements and the theoretical calculations from DYTURBO with different PDF sets at 13 TeV. The uncertainties in the theoretical predictions include the statistical uncertainty, and the PDF, $ \alpha_{s} $, and renormalization and factorization scale uncertainties. The measured values and theoretical predictions (DYTURBO with NNPDF 3.1 as the example) are also shown in the right part of the plot. |
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Figure 9:
Comparisons of the total inclusive cross section ratios and double ratios between 13 TeV and 5.02 TeV, between measurements and the theoretical calculations from DYTURBO with different PDF sets. The uncertainties in the theoretical predictions include the statistical uncertainty, and the PDF, $ \alpha_{s} $, and renormalization and factorization scale uncertainties. The measured values and theoretical predictions (DYTURBO with NNPDF 3.1 as the example) are also shown in the right part of the plot. |
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Figure 10:
Summary of the measurements of the total W$^{+} $, W$^{-} $, W, and Z production cross sections times branching fractions versus center-of-mass energy for CMS and experiments at lower-energy colliders. |
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Figure 11:
Summary of the measurements of the total W$^{+} $, W$^{-} $, W, and Z production cross sections times branching fractions versus center-of-mass energy in CMS. |
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Figure 12:
Distributions of $ m_{\mathrm{e}^+\mathrm{e}^-} $ (left) and $ m_{\mu^+\mu^-} $ (right) for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 12-a:
Distributions of $ m_{\mathrm{e}^+\mathrm{e}^-} $ (left) and $ m_{\mu^+\mu^-} $ (right) for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 12-b:
Distributions of $ m_{\mathrm{e}^+\mathrm{e}^-} $ (left) and $ m_{\mu^+\mu^-} $ (right) for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 12-c:
Distributions of $ m_{\mathrm{e}^+\mathrm{e}^-} $ (left) and $ m_{\mu^+\mu^-} $ (right) for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 12-d:
Distributions of $ m_{\mathrm{e}^+\mathrm{e}^-} $ (left) and $ m_{\mu^+\mu^-} $ (right) for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 13:
Distributions of $ m_{\mathrm{T}} $ in the W$^{+} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 13-a:
Distributions of $ m_{\mathrm{T}} $ in the W$^{+} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 13-b:
Distributions of $ m_{\mathrm{T}} $ in the W$^{+} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 13-c:
Distributions of $ m_{\mathrm{T}} $ in the W$^{+} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 13-d:
Distributions of $ m_{\mathrm{T}} $ in the W$^{+} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 14:
Distributions of $ m_{\mathrm{T}} $ in the W$^{-} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 14-a:
Distributions of $ m_{\mathrm{T}} $ in the W$^{-} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 14-b:
Distributions of $ m_{\mathrm{T}} $ in the W$^{-} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 14-c:
Distributions of $ m_{\mathrm{T}} $ in the W$^{-} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
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Figure 14-d:
Distributions of $ m_{\mathrm{T}} $ in the W$^{-} $ signal selection for electron (left) and muon (right) final states for the pp collisions at $ \sqrt{s}= $ 5.02 TeV (upper) and $ \sqrt{s}= $ 13 TeV (lower). The histograms for EW backgrounds include the contributions from Drell-Yan, $ \mathrm{W} \to \tau\nu $, and diboson processes. The predicted yields are shown with their best-fit normalizations. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total signal and background predictions. |
Tables | |
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Table 1:
Event yields, after the fit to data, for the different processes in Z, W$^{+} $, and W$^{-} $ muon and electron final states at 5.02 TeV. |
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Table 2:
Event yields, after the fit to data, for the different processes in Z, W$^{+} $, and W$^{-} $ electron and muon final states at 13 TeV. |
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Table 3:
Systematic uncertainties, in percent, for the fiducial cross sections at 5.02 TeV. The 1.9% luminosity uncertainty, which affects the W$^{\pm} $ and Z cross sections, is not included in the table. |
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Table 4:
Systematic uncertainties, in percent, for the fiducial cross sections at 13 TeV. The 1.7% luminosity uncertainty, which affects the W$^{\pm} $ and Z cross sections, is not included in the table. |
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Table 5:
Systematic uncertainties, in percent, for the fiducial cross section ratios between 13 TeV and 5.02 TeV. The 2.3% luminosity uncertainty, which affects the W$^{\pm} $ and Z cross section ratios, is not included in the table. |
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Table 6:
Systematic uncertainties, in percent, for the total cross sections at 5.02 TeV. The 1.9% luminosity uncertainty, which affects the W$^{\pm} $ and Z cross sections, is not included in the table. |
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Table 7:
Systematic uncertainties, in percent, for the total cross sections at 13 TeV. The 1.7% luminosity uncertainty, which affects the W$^{\pm} $ and Z cross sections, is not included in the table. |
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Table 8:
Systematic uncertainties, in percent, for the total cross section ratios between 13 TeV and 5.02 TeV. The 2.3% luminosity uncertainty, which affects the W$^{\pm} $ and Z cross section ratios, is not included in the table. |
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Table 9:
Comparison of the theory calculations and the measured fiducial cross sections at 5.02 TeV, units in pb. The uncertainties in the theoretical predictions include the statistical uncertainty, and the PDF, $ \alpha_{s} $, and renormalization and factorization scale uncertainties. |
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Table 10:
Comparison of the theory calculations and the measured fiducial cross sections and ratios at 13 TeV, units in pb. The uncertainties in the theoretical predictions include the statistical uncertainty, and the PDF, $ \alpha_{s} $, and renormalization and factorization scale uncertainties. |
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Table 11:
Comparison of the theory calculations and the measured fiducial cross section ratios between 13 TeV and 5.02 TeV. The uncertainties in the theoretical predictions include the statistical uncertainty, and the PDF, $ \alpha_{s} $, and renormalization and factorization scale uncertainties. |
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Table 12:
Comparison of the theory calculations and the measured total inclusive cross sections and ratios at 5.02 TeV, unit in pb. The uncertainties in the theoretical predictions include the statistical uncertainty, and the PDF, $ \alpha_{s} $, and renormalization and factorization scale uncertainties. |
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Table 13:
Comparison of the theory calculations and the measured total inclusive cross sections and ratios at 13 TeV, unit in pb. The uncertainties in the theoretical predictions include the statistical uncertainty, and the PDF, $ \alpha_{s} $, and renormalization and factorization scale uncertainties. |
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Table 14:
Comparison of the theory calculations and the measured total inclusive cross section ratios and double ratios between 13 TeV and 5.02 TeV. The uncertainties in the theoretical predictions include the statistical uncertainty, and the PDF, $ \alpha_{s} $, and renormalization and factorization scale uncertainties. |
Summary |
Measurements of total inclusive and fiducial W and Z boson production cross sections in proton-proton collisions at 5.02 TeV and 13 TeV are presented. Electron and muon decay modes are studied in the data collected with the CMS detector in 2017, in dedicated runs with reduced instantaneous luminosity. The data sets correspond to integrated luminosities of 298 $ \pm $ 6 pb$^{-1}$ at 5.02 TeV and 201 $ \pm $ 3 pb$^{-1}$ at 13 TeV. The products of the measured total inclusive cross sections and the branching fractions are $ \sigma(\mathrm{p}\mathrm{p} \to \mathrm{W}^{\pm} + X)\mathcal{B}(\mathrm{W}^{\pm} \to \ell^{\pm}\nu ) = $ 7300 $ \pm $ 10 (stat) $\pm$ 30 (syst) $\pm$ 140 (lum) pb, and $ \sigma(\mathrm{p}\mathrm{p} \to \mathrm{Z} + X)\mathcal{B}(\mathrm{Z} \to \ell^+\ell^-) = $ 669 $ \pm $ 2 (stat) $\pm$ 6 (syst) $\pm$ 13 (lum) pb for the dilepton invariant mass in the range of 60 to 120 GeV at 5.02 TeV, and correspondingly 21040 $ \pm $ 10 (stat) $\pm$ 180 (syst) $\pm$ 360 (lum) pb and 2006 $ \pm $ 4 (stat) $\pm$ 18 (syst) $\pm$ 33 (lum) pb at 13 TeV. The measured values agree with cross section calculations at next-to-next-to-leading-order in perturbative QCD. Inclusive and fiducial cross sections, ratios of cross sections of W$^{\pm} $ to Z and W$^{+} $ to W$^{-} $, and the double ratios at different center-of-mass energies are reported. |
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