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| CMS-PAS-SMP-24-001 | ||
| Measurement of W$^{+}$W$^{-} $ inclusive and differential cross sections in pp collisions at $ \sqrt{s}= $ 13.6 TeV with the CMS detector | ||
| CMS Collaboration | ||
| 24 March 2024 | ||
| Abstract: First measurements of the opposite-sign W boson pair production cross section in proton-proton collisions at $ \sqrt{s}= $ 13.6 TeV are presented. The data used in this study were collected with the CMS detector at the CERN LHC in 2022, and correspond to an integrated luminosity of 34.8 fb$ ^{-1} $. Events are selected by requiring one electron and one muon of opposite charges. A maximum likelihood fit is performed in event categories defined by the flavour and charge of the leptons, the number of jets, and number of jets identified as originating from b quarks. An inclusive $ \mathrm{W}^{+}\mathrm{W^{-}} $ production cross section of 125.7 $ \pm $ 5.6 pb is measured, in agreement with standard model predictions. Cross sections are also reported in a fiducial region close to that of the detector acceptance, both inclusively and differentially as a function of the jet multiplicity in the event. | ||
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CDS record (PDF) ;
Physics Briefing ;
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These preliminary results are superseded in this paper, Submitted to PLB. The superseded preliminary plots can be found here. |
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| Figures & Tables | Summary | Additional Figures & Tables | References | CMS Publications |
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| Figures | |
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Figure 1:
Distributions of the number of reconstructed jets after the fit to the data in the WW SR (upper left), same-sign CR (upper right), $ \mathrm{Z}\to\tau\tau $ CR (center left), 1 b jet CR (center right), and 2 b jet CR (lower left), and the number of events in the $ \mathrm{W}\mathrm{Z}\to3\ell\nu $ and $ \mathrm{Z}\mathrm{Z}\to4\ell $ CRs (lower right). The histograms for $ \mathrm{t}\mathrm{V}\mathrm{x} $ backgrounds include the contributions from $ {\mathrm{t}\overline{\mathrm{t}}} \mathrm{V}(\mathrm{V}) $ processes. The histograms for $ \mathrm{V}\gamma $ backgrounds include the contributions from $ \mathrm{W}\gamma $ and $ \mathrm{Z}\gamma $ processes. The overflow is included in the last bin. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total SM prediction. The grey bands represent the uncertainties in the predicted yields. The vertical bars represent the statistical uncertainties in the data. |
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Figure 1-a:
Distributions of the number of reconstructed jets after the fit to the data in the WW SR (upper left), same-sign CR (upper right), $ \mathrm{Z}\to\tau\tau $ CR (center left), 1 b jet CR (center right), and 2 b jet CR (lower left), and the number of events in the $ \mathrm{W}\mathrm{Z}\to3\ell\nu $ and $ \mathrm{Z}\mathrm{Z}\to4\ell $ CRs (lower right). The histograms for $ \mathrm{t}\mathrm{V}\mathrm{x} $ backgrounds include the contributions from $ {\mathrm{t}\overline{\mathrm{t}}} \mathrm{V}(\mathrm{V}) $ processes. The histograms for $ \mathrm{V}\gamma $ backgrounds include the contributions from $ \mathrm{W}\gamma $ and $ \mathrm{Z}\gamma $ processes. The overflow is included in the last bin. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total SM prediction. The grey bands represent the uncertainties in the predicted yields. The vertical bars represent the statistical uncertainties in the data. |
png pdf |
Figure 1-b:
Distributions of the number of reconstructed jets after the fit to the data in the WW SR (upper left), same-sign CR (upper right), $ \mathrm{Z}\to\tau\tau $ CR (center left), 1 b jet CR (center right), and 2 b jet CR (lower left), and the number of events in the $ \mathrm{W}\mathrm{Z}\to3\ell\nu $ and $ \mathrm{Z}\mathrm{Z}\to4\ell $ CRs (lower right). The histograms for $ \mathrm{t}\mathrm{V}\mathrm{x} $ backgrounds include the contributions from $ {\mathrm{t}\overline{\mathrm{t}}} \mathrm{V}(\mathrm{V}) $ processes. The histograms for $ \mathrm{V}\gamma $ backgrounds include the contributions from $ \mathrm{W}\gamma $ and $ \mathrm{Z}\gamma $ processes. The overflow is included in the last bin. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total SM prediction. The grey bands represent the uncertainties in the predicted yields. The vertical bars represent the statistical uncertainties in the data. |
png pdf |
Figure 1-c:
Distributions of the number of reconstructed jets after the fit to the data in the WW SR (upper left), same-sign CR (upper right), $ \mathrm{Z}\to\tau\tau $ CR (center left), 1 b jet CR (center right), and 2 b jet CR (lower left), and the number of events in the $ \mathrm{W}\mathrm{Z}\to3\ell\nu $ and $ \mathrm{Z}\mathrm{Z}\to4\ell $ CRs (lower right). The histograms for $ \mathrm{t}\mathrm{V}\mathrm{x} $ backgrounds include the contributions from $ {\mathrm{t}\overline{\mathrm{t}}} \mathrm{V}(\mathrm{V}) $ processes. The histograms for $ \mathrm{V}\gamma $ backgrounds include the contributions from $ \mathrm{W}\gamma $ and $ \mathrm{Z}\gamma $ processes. The overflow is included in the last bin. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total SM prediction. The grey bands represent the uncertainties in the predicted yields. The vertical bars represent the statistical uncertainties in the data. |
png pdf |
Figure 1-d:
Distributions of the number of reconstructed jets after the fit to the data in the WW SR (upper left), same-sign CR (upper right), $ \mathrm{Z}\to\tau\tau $ CR (center left), 1 b jet CR (center right), and 2 b jet CR (lower left), and the number of events in the $ \mathrm{W}\mathrm{Z}\to3\ell\nu $ and $ \mathrm{Z}\mathrm{Z}\to4\ell $ CRs (lower right). The histograms for $ \mathrm{t}\mathrm{V}\mathrm{x} $ backgrounds include the contributions from $ {\mathrm{t}\overline{\mathrm{t}}} \mathrm{V}(\mathrm{V}) $ processes. The histograms for $ \mathrm{V}\gamma $ backgrounds include the contributions from $ \mathrm{W}\gamma $ and $ \mathrm{Z}\gamma $ processes. The overflow is included in the last bin. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total SM prediction. The grey bands represent the uncertainties in the predicted yields. The vertical bars represent the statistical uncertainties in the data. |
png pdf |
Figure 1-e:
Distributions of the number of reconstructed jets after the fit to the data in the WW SR (upper left), same-sign CR (upper right), $ \mathrm{Z}\to\tau\tau $ CR (center left), 1 b jet CR (center right), and 2 b jet CR (lower left), and the number of events in the $ \mathrm{W}\mathrm{Z}\to3\ell\nu $ and $ \mathrm{Z}\mathrm{Z}\to4\ell $ CRs (lower right). The histograms for $ \mathrm{t}\mathrm{V}\mathrm{x} $ backgrounds include the contributions from $ {\mathrm{t}\overline{\mathrm{t}}} \mathrm{V}(\mathrm{V}) $ processes. The histograms for $ \mathrm{V}\gamma $ backgrounds include the contributions from $ \mathrm{W}\gamma $ and $ \mathrm{Z}\gamma $ processes. The overflow is included in the last bin. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total SM prediction. The grey bands represent the uncertainties in the predicted yields. The vertical bars represent the statistical uncertainties in the data. |
png pdf |
Figure 1-f:
Distributions of the number of reconstructed jets after the fit to the data in the WW SR (upper left), same-sign CR (upper right), $ \mathrm{Z}\to\tau\tau $ CR (center left), 1 b jet CR (center right), and 2 b jet CR (lower left), and the number of events in the $ \mathrm{W}\mathrm{Z}\to3\ell\nu $ and $ \mathrm{Z}\mathrm{Z}\to4\ell $ CRs (lower right). The histograms for $ \mathrm{t}\mathrm{V}\mathrm{x} $ backgrounds include the contributions from $ {\mathrm{t}\overline{\mathrm{t}}} \mathrm{V}(\mathrm{V}) $ processes. The histograms for $ \mathrm{V}\gamma $ backgrounds include the contributions from $ \mathrm{W}\gamma $ and $ \mathrm{Z}\gamma $ processes. The overflow is included in the last bin. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total SM prediction. The grey bands represent the uncertainties in the predicted yields. The vertical bars represent the statistical uncertainties in the data. |
png pdf |
Figure 2:
The upper panel shows the normalized cross section measurement for events with $ N_{\mathrm{J}}= $ 0, 1, $ \ge $2 jets. The filled circles represent the unfolded data results. The black, blue, and red lines represent the predictions from POWHEG+PYTHIA, MATRIX, and POWHEG MiNNLO+PYTHIA, respectively. The lower panels show the ratio of the theoretical predictions to the measurement. In all panels, the error bars on the data points represent the total uncertainty in the measurement, and the shaded band depicts the uncertainty in the prediction. |
| Tables | |
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Table 1:
Summary of the requirements defining the WW SR and dilepton CRs. |
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Table 2:
Summary of the requirements defining the WZ and ZZ CRs. |
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Table 3:
Relative systematic uncertainties in the total cross section measurement. |
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Table 4:
Definition of the fiducial region. |
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Table 5:
Data, signal and background yields combining all reconstructed jet bins. The combination of the statistical and systematic uncertainties is shown. The expected yields are shown with their best fit normalizations from the simultaneous fit to data. |
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Table 6:
Data, signal and background yields in events in the WZ and ZZ CRs. The combination of the statistical and systematic uncertainties is shown. The expected yields are shown with their best fit normalizations from the simultaneous fit to data. |
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Table 7:
Inclusive fiducial cross sections and normalized cross sections obtained in the analysis. The uncertainty listed is the total uncertainty obtained from the fit to the yields. The expected predictions are obtained from POWHEG +PYTHIA. In brackets, the split of systematic and statistical uncertainties are reported. |
| Summary |
| First measurements of the WW production cross section in proton-proton collisions at $ \sqrt{s}= $ 13.6 TeV have been presented. The data used in this study were collected with the CMS detector at the CERN LHC in 2022, and correspond to an integrated luminosity of 34.8 fb$ ^{-1} $. Events were selected by requiring one electron and one muon of opposite charge. A maximum likelihood fit has been performed in event categories defined by the flavour and charge of the leptons, the number of jets, and number of jets identified as originating from b quarks. An inclusive WW production cross section of 125.7 $ \pm $ 5.6 pb is measured, in agreement with the standard model prediction. Cross sections have also been reported in a fiducial region close to that of the detector acceptance, both inclusively and differentially as a function of the jet multiplicity in the event. |
| Additional Figures | |
png pdf |
Additional Figure 1:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 1-a:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
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Additional Figure 1-b:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 1-c:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
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Additional Figure 1-d:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 2:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the 0-jet WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 2-a:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the 0-jet WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 2-b:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the 0-jet WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 2-c:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the 0-jet WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 2-d:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the 0-jet WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 3:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the 1-jet WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 3-a:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the 1-jet WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 3-b:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the 1-jet WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 3-c:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the 1-jet WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 3-d:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the 1-jet WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 4:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the 2-jet WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 4-a:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the 2-jet WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 4-b:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the 2-jet WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 4-c:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the 2-jet WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 4-d:
Distributions of the $ m_{\ell\ell} $ (upper left), $ p_{\mathrm{T}}^{\ell\ell} $ (upper right), $ p_{\mathrm{T}}^{\ell\,\text{max}} $ (lower left), and $ p_{\mathrm{T}}^{\ell\,\text{min}} $ (lower right) variables in the 2-jet WW SR. The error bars represent the uncertainties associated with statistical and systematic uncertainties before the fit to data. |
png pdf |
Additional Figure 5:
Results obtained in this analysis and other WW production cross section measurements at different center-of-mass energies for the CMS, ATLAS, CDF, and D0 Collaborations are presented, and compared with the NNLO QCD $ \times $ NLO EW and NLO predictions from MATRIX. The vertical error bars represent the uncertainty in the measured cross section. |
| Additional Tables | |
png pdf |
Additional Table 1:
Correlation matrix among the inclusive fiducial cross sections and the jet bin fractions measured in the analysis. |
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Additional Table 2:
Relative fractions at the reconstruction level for each generator-level jet bin. |
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Additional Table 3:
Fiducial cross sections as a function of the jet bin obtained in the analysis. The uncertainty listed is the total uncertainty obtained from the fit to the yields. |
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Compact Muon Solenoid LHC, CERN |
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