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CMS-SMP-24-001 ; CERN-EP-2024-129

Measurement of inclusive and differential cross sections for W$^{+}$W$^{-}$ production in proton-proton collisions at $\sqrt{s} =$ 13.6 TeV

CMS Collaboration

7 June 2024

Phys. Lett. B 861 (2025) 139231

Abstract: Measurements at $\sqrt{s}=$ 13.6 TeV of the opposite-sign W boson pair production cross section in proton-proton collisions 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 charge. A maximum likelihood fit is performed on signal- and background-enriched data categories defined by the flavour and charge of the leptons, the number of jets, and number of jets originating from b quarks. An inclusive W$^{+}$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. For first time in proton-proton collisions, WW events with at least two reconstructed jets are studied and compared with recent theoretical predictions.

Links: e-print arXiv:2406.05101 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; Physics Briefing ; CADI line (restricted) ;

Figures
png pdf	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), one b tag CR (center right), and two b tags 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 V$\gamma$ backgrounds include the contributions from W$\gamma$ and 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-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), one b tag CR (center right), and two b tags 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 V$\gamma$ backgrounds include the contributions from W$\gamma$ and 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), one b tag CR (center right), and two b tags 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 V$\gamma$ backgrounds include the contributions from W$\gamma$ and 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), one b tag CR (center right), and two b tags 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 V$\gamma$ backgrounds include the contributions from W$\gamma$ and 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), one b tag CR (center right), and two b tags 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 V$\gamma$ backgrounds include the contributions from W$\gamma$ and 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), one b tag CR (center right), and two b tags 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 V$\gamma$ backgrounds include the contributions from W$\gamma$ and 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), one b tag CR (center right), and two b tags 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 V$\gamma$ backgrounds include the contributions from W$\gamma$ and 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: Results obtained in this analysis and other WW production cross section measurements at different center-of-mass energies for the CMS [6,7,11], ATLAS [5,8,71], CDF [4], and D0 [3] 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.
png pdf	Figure 3: 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
png pdf	Table 1: Summary of the requirements defining the WW SR and dilepton CRs.
png pdf	Table 2: Summary of the requirements defining the WZ and ZZ CRs.
png pdf	Table 3: Systematic uncertainties on $\mu$, the measured inclusive cross section divided by the predicted cross section. Lepton experimental uncertainties encompass the effects of calibration of lepton momentum scale and resolution, as well as lepton trigger, reconstruction, identification, and isolation efficiencies. Jet experimental uncertainties encompass the effects of the jet energy scale and resolution. The limited sample size category is related to the finite number of MC events and data events used for data-driven background estimates.
png pdf	Table 4: Definition of the fiducial region.
png pdf	Table 5: Data, signal, and background yields combining all reconstructed jet multiplicity 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.
png pdf	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.
png pdf	Table 7: Inclusive fiducial cross section and normalized cross sections for events with $N_{\mathrm{j}}=$ 0, 1, ${\ge}$2 jets. The uncertainty listed is the total uncertainty obtained from the fit to the yields. The expected predictions are obtained from POWHEG +PYTHIA. In parentheses, the split of systematic and statistical uncertainties are reported.

Summary

First measurements at $\sqrt{s}=$ 13.6 TeV of the WW production cross section in proton-proton collisions 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 signal- and background-enriched 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 $\pm$ 2.3 (stat) $\pm$ 4.8 (syst) $\pm$ 1.8 (lumi) pb $=$ 125.7 $\pm$ 5.6 pb is measured, in agreement with the standard model prediction. The overall sensitivity is about 25% better than previous CMS measurements at $\sqrt{s}=$ 13 TeV with a similar integrated luminosity, because of several reduced experimental uncertainties and the improved fit strategy. 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. For first time in proton-proton collisions, WW events with at least two reconstructed jets are studied and compared with the most precise theoretical predictions.

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.
png pdf	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.
png pdf	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.

Additional Tables
png pdf	Additional Table 1: Correlation matrix among the inclusive fiducial cross sections and the jet bin fractions measured in the analysis.
png pdf	Additional Table 2: Relative fractions at the reconstruction level for each generator-level jet bin.
png pdf	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.

References
1	CMS Collaboration	Search for new physics in events with two soft oppositely charged leptons and missing transverse momentum in proton-proton collisions at $\sqrt{s}=$ 13 TeV	PLB 782 (2018) 440	CMS-SUS-16-048 1801.01846
2	D0 Collaboration	Measurement of the WW production cross section with dilepton final states in $\mathrm{p\bar{p}}$ collisions at $\sqrt{s}=$ 1.96 TeV and limits on anomalous trilinear gauge couplings	PRL 103 (2009) 191801	0904.0673
3	D0 Collaboration	Search for Higgs boson production in oppositely charged dilepton and missing energy final states in 9.7 fb$^{-1}$ of $\mathrm{p\bar{p}}$ collisions at $\sqrt{s} =$ 1.96 TeV	PRD 88 (2013) 052006	1301.1243
4	CDF Collaboration	Measurement of the W$^+$W$^-$ production cross section and search for anomalous $\mathrm{WW}\gamma$ and $\mathrm{WWZ}$ couplings in $\mathrm{p\bar{p}}$ collisions at $\sqrt{s}=$ 1.96 TeV	PRL 104 (2010) 201801	0912.4500
5	ATLAS Collaboration	Measurement of W$^+$W$^-$ production in pp collisions at $\sqrt{s} =$ 7 TeV with the ATLAS detector and limits on anomalous WWZ and WW$\gamma$ couplings	PRD 87 (2013) 112001	1210.2979
6	CMS Collaboration	Measurement of the W$^+$W$^-$ cross section in pp collisions at $\sqrt{s}=$ 7 TeV and limits on anomalous $\mathrm{W}\mathrm{W}\gamma$ and $\mathrm{W}\mathrm{W}\mathrm{Z}$ couplings	EPJC 73 (2013) 2610	CMS-SMP-12-005 1306.1126
7	CMS Collaboration	Measurement of the W$^+$W$^-$ cross section in pp collisions at $\sqrt{s} =$ 8 TeV and limits on anomalous gauge couplings	EPJC 76 (2016) 401	CMS-SMP-14-016 1507.03268
8	ATLAS Collaboration	Measurement of total and differential W$^+$W$^-$ production cross sections in proton-proton collisions at $\sqrt{s}=$ 8 TeV with the ATLAS detector and limits on anomalous triple-gauge-boson couplings	JHEP 09 (2016) 029	1603.01702
9	ATLAS Collaboration	Measurement of $W^+W^-$ production in association with one jet in proton--proton collisions at $\sqrt{s} =$ 8 TeV with the ATLAS detector	PLB 763 (2016) 114	1608.03086
10	ATLAS Collaboration	Measurement of fiducial and differential W$^+$W$^-$ production cross sections at $\sqrt{s}=$ 13 TeV with the ATLAS detector	EPJC 79 (2019) 884	1905.04242
11	CMS Collaboration	W$^+$W$^-$ boson pair production in proton-proton collisions at $\sqrt{s} =$ 13 TeV	PRD 102 (2020) 092001	CMS-SMP-18-004 2009.00119
12	ATLAS Collaboration	Measurements of W$^+$W$^-$ $+ \ge$ 1-jet production cross-sections in $pp$ collisions at $\sqrt{s}=$ 13 TeV with the ATLAS detector	JHEP 06 (2021) 003	2103.10319
13	M. Grazzini, S. Kallweit, and M. Wiesemann	Fully differential NNLO computations with MATRIX	EPJC 78 (2018) 537	1711.06631
14	M. Grazzini et al.	NNLO QCD + NLO EW with Matrix+OpenLoops: precise predictions for vector-boson pair production	JHEP 02 (2020) 087	1912.00068
15	NNPDF Collaboration	Parton distributions from high-precision collider data	EPJC 77 (2017) 663	1706.00428
16	F. Caola, K. Melnikov, R. Röntsch, and L. Tancredi	QCD corrections to W$^+$W$^-$ production through gluon fusion	PLB 754 (2016) 275	1511.08617
17	CMS Collaboration	The CMS statistical analysis and combination tool: Combine	Submitted to Comput. Softw. Big Sci, 2024	CMS-CAT-23-001 2404.06614
18	CMS Collaboration	The CMS experiment at the CERN LHC	JINST 3 (2008) S08004
19	CMS Collaboration	Development of the CMS detector for the CERN LHC Run 3	JINST 19 (2024) P05064	CMS-PRF-21-001 2309.05466
20	CMS Collaboration	Performance of the CMS Level-1 trigger in proton-proton collisions at $\sqrt{s} =$ 13 TeV	JINST 15 (2020) P10017	CMS-TRG-17-001 2006.10165
21	CMS Collaboration	The CMS trigger system	JINST 12 (2017) P01020	CMS-TRG-12-001 1609.02366
22	P. Nason	A new method for combining NLO QCD with shower Monte Carlo algorithms	JHEP 11 (2004) 040	hep-ph/0409146
23	S. Frixione, P. Nason, and C. Oleari	Matching NLO QCD computations with parton shower simulations: the POWHEG method	JHEP 11 (2007) 070	0709.2092
24	S. Alioli, P. Nason, C. Oleari, and E. Re	A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX	JHEP 06 (2010) 043	1002.2581
25	P. Nason and G. Zanderighi	W$^+$W$^-$, WZ and ZZ production in the POWHEG-BOX-V2	EPJC 74 (2014) 2702	1311.1365
26	S. Alioli, P. Nason, C. Oleari, and E. Re	NLO vector-boson production matched with shower in POWHEG	JHEP 07 (2008) 060	0805.4802
27	S. Alioli, P. Nason, C. Oleari, and E. Re	NLO Higgs boson production via gluon fusion matched with shower in POWHEG	JHEP 04 (2009) 002	0812.0578
28	J. Alwall et al.	The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations	JHEP 07 (2014) 079	1405.0301
29	J. Alwall et al.	Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions	EPJC 53 (2008) 473	0706.2569
30	R. Frederix and S. Frixione	Merging meets matching in MC@NLO	JHEP 12 (2012) 061	1209.6215
31	P. Artoisenet, R. Frederix, O. Mattelaer, and R. Rietkerk	Automatic spin-entangled decays of heavy resonances in Monte Carlo simulations	JHEP 03 (2013) 015	1212.3460
32	I. Anderson et al.	Constraining anomalous HVV interactions at proton and lepton colliders	PRD 89 (2014) 035007	1309.4819
33	A. V. Gritsan et al.	New features in the JHU generator framework: constraining Higgs boson properties from on-shell and off-shell production	PRD 102 (2020) 056022	2002.09888
34	T. Sjöstrand et al.	An introduction to PYTHIA 8.2	Comput. Phys. Commun. 191 (2015) 159	1410.3012
35	CMS Collaboration	Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements	EPJC 80 (2020) 4	CMS-GEN-17-001 1903.12179
36	GEANT4 Collaboration	GEANT4 --- a simulation toolkit	NIM A 506 (2003) 250
37	CMS Collaboration	Particle-flow reconstruction and global event description with the CMS detector	JINST 12 (2017) P10003	CMS-PRF-14-001 1706.04965
38	CMS Collaboration	Technical proposal for the Phase-II upgrade of the Compact Muon Solenoid	CMS Technical Proposal CERN-LHCC-2015-010, CMS-TDR-15-02, 2015 CDS
39	M. Cacciari, G. P. Salam, and G. Soyez	The anti-$k_{\mathrm{T}}$ jet clustering algorithm	JHEP 04 (2008) 063	0802.1189
40	M. Cacciari, G. P. Salam, and G. Soyez	FastJet user manual	EPJC 72 (2012) 1896	1111.6097
41	CMS Collaboration	Jet energy scale and resolution in the CMS experiment in pp collisions at 8 TeV	JINST 12 (2017) P02014	CMS-JME-13-004 1607.03663
42	CMS Collaboration	Performance of missing transverse momentum reconstruction in proton-proton collisions at $\sqrt{s}=$ 13 TeV using the CMS detector	JINST 14 (2019) P07004	CMS-JME-17-001 1903.06078
43	CMS Collaboration	Jet algorithms performance in 13 TeV data	CMS Physics Analysis Summary, 2017 CMS-PAS-JME-16-003	CMS-PAS-JME-16-003
44	CMS Collaboration	Pileup mitigation at CMS in 13 TeV data	JINST 15 (2020) P09018	CMS-JME-18-001 2003.00503
45	D. Bertolini, P. Harris, M. Low, and N. Tran	Pileup per particle identification	JHEP 10 (2014) 059	1407.6013
46	E. Bols et al.	Jet flavour classification using DeepJet	JINST 15 (2020) P12012	2008.10519
47	CMS Collaboration	Electron and photon reconstruction and identification with the CMS experiment at the CERN LHC	JINST 16 (2021) P05014	CMS-EGM-17-001 2012.06888
48	CMS Collaboration	Performance of the CMS muon detector and muon reconstruction with proton-proton collisions at $\sqrt{s}=$ 13 TeV	JINST 13 (2018) P06015	CMS-MUO-16-001 1804.04528
49	CMS Collaboration	Measurements of properties of the Higgs boson decaying to a W boson pair in pp collisions at $\sqrt{s}=$ 13 TeV	PLB 791 (2019) 96	CMS-HIG-16-042 1806.05246
50	Particle Data Group , R. L. Workman et al.	Review of Particle Physics	PTEP 2022 (2022) 083C01
51	CMS Collaboration	First measurement of the top quark pair production cross section in proton-proton collisions at $\sqrt{s} =$ 13.6 TeV	JHEP 08 (2023) 204	CMS-TOP-22-012 2303.10680
52	CMS Collaboration	Measurement of Higgs boson production and properties in the WW decay channel with leptonic final states	JHEP 01 (2014) 096	CMS-HIG-13-023 1312.1129
53	G. Cowan, K. Cranmer, E. Gross, and O. Vitells	Asymptotic formulae for likelihood-based tests of new physics	EPJC 71 (2011) 1554	1007.1727
54	CMS Collaboration	Luminosity measurement in proton-proton collisions at 13.6 TeV in 2022 at CMS	CMS Physics Analysis Summary, 2024 CMS-PAS-LUM-22-001	CMS-PAS-LUM-22-001
55	CMS Collaboration	Measurements of differential Z boson production cross sections in proton-proton collisions at $\sqrt{s} =$ 13 TeV	JHEP 12 (2019) 061	CMS-SMP-17-010 1909.04133
56	CMS Collaboration	Identification of heavy-flavour jets with the CMS detector in pp collisions at 13 TeV	JINST 13 (2018) P05011	CMS-BTV-16-002 1712.07158
57	J. Butterworth et al.	PDF4LHC recommendations for LHC Run II	JPG 43 (2016) 023001	1510.03865
58	R. J. Barlow and C. Beeston	Fitting using finite Monte Carlo samples	Comput. Phys. Commun. 77 (1993) 219
59	CMS Collaboration	Object definitions for top quark analyses at the particle level	Technical Report CMS-NOTE-2017-004, 2017 CDS
60	CMS Collaboration	Measurements of production cross sections of WZ and same-sign WW boson pairs in association with two jets in proton-proton collisions at $\sqrt{s} =$ 13 TeV	PLB 809 (2020) 135710	CMS-SMP-19-012 2005.01173
61	CMS Collaboration	Measurement of the Z boson differential production cross section using its invisible decay mode (Z$\nu\bar{\nu}$) in proton-proton collisions at $\sqrt{s}=$ 13 TeV	JHEP 05 (2021) 205	CMS-SMP-18-003 2012.09254
62	S. Schmitt	TUnfold: an algorithm for correcting migration effects in high energy physics	JINST 7 (2012) T10003	1205.6201
63	CMSnoop	Statistical data analysis	\hrefG.~Cowan, , ch.~11, . Oxford University Press, 1998
64	R. D. Cousins	Lectures on statistics in theory: Prelude to statistics in practice		1807.05996
65	ATLAS Collaboration	Measurement of the $\mathrm{t\bar{t}}$ cross section and its ratio to the Z production cross section using pp collisions at $\sqrt{s}=$ 13.6 TeV with the ATLAS detector	PLB 848 (2024) 138376	2308.09529
66	S. Kallweit, M. Grazzini, and M. Wiesemann	Higher-order corrections on diboson production processes with MATRIX	PoS RADCOR 075, 2018 link
67	P. F. Monni et al.	MiNNLO$_{\text{PS}}$: a new method to match NNLO QCD to parton showers	JHEP 05 (2020) 143	1908.06987
68	P. F. Monni, E. Re, and M. Wiesemann	MiNNLO$_{\text{PS}}$: optimizing 2 $\to$ 1 hadronic processes	EPJC 80 (2020) 1075	2006.04133
69	CMS Collaboration	HEPData record for this analysis	2024 link
70	CMS Collaboration	Statistical model for this analysis	link
71	ATLAS Collaboration	Measurement of the W$^{+}$W$^{-}$ production cross section in pp collisions at a centre-of-mass energy of $\sqrt{s} =$ 13 TeV with the ATLAS experiment	PLB 773 (2017) 354	1702.04519

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