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| CMS-PAS-HIG-21-009 | ||
| Differential cross section measurements in the Higgs boson to four-lepton decay channel in proton-proton collisions at $ \sqrt{s}= $ 13 TeV | ||
| CMS Collaboration | ||
| 8 November 2022 | ||
| Abstract: Measurements of the inclusive and differential fiducial cross sections for the Higgs boson in the $ \mathrm{H}\rightarrow{\rm Z}{\rm Z}\rightarrow4\ell $ ($ \ell=$ e, $\mu $) decay channel are presented. The results are obtained from the analysis of proton-proton collision data recorded by the CMS experiment at the CERN LHC at a center-of-mass energy of 13 TeV, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. The measured inclusive fiducial cross section is $ \sigma_{{\text{fid}}}= $ 2.73 $ \pm $ 0.26 fb, in agreement with the standard model expectation of 2.86 $ \pm $ 0.15 fb. Differential cross sections are measured as a function of several kinematic observables sensitive to the Higgs boson production and decay to four leptons. Constraints on the Higgs boson trilinear coupling and on the bottom and charm coupling modifiers are derived from the Higgs boson transverse momentum distribution. All results are consistent with the theoretical predictions from the standard model. | ||
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These preliminary results are superseded in this paper, Submitted to JHEP. The superseded preliminary plots can be found here. |
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| Figures | |
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Figure 1:
Schematic representation of the $ gg/q\bar{q}\to \mathrm{H}\to ZZ\to 4\ell $ process. The five angles depicted in blue are considered in the analysis, as detailed in the text. |
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Figure 2:
Reconstructed transverse momentum (left) and rapidity (right) of the four-lepton system. Points with error bars represent the data, the solid histograms the predictions from simulation. The y axes of the top panels have been rescaled to display the number of events per bin, divided by the width of each bin. The bottom panel shows the ratio of the data points to the expectations from the simulation. |
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Figure 2-a:
Reconstructed transverse momentum (left) and rapidity (right) of the four-lepton system. Points with error bars represent the data, the solid histograms the predictions from simulation. The y axes of the top panels have been rescaled to display the number of events per bin, divided by the width of each bin. The bottom panel shows the ratio of the data points to the expectations from the simulation. |
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Figure 2-b:
Reconstructed transverse momentum (left) and rapidity (right) of the four-lepton system. Points with error bars represent the data, the solid histograms the predictions from simulation. The y axes of the top panels have been rescaled to display the number of events per bin, divided by the width of each bin. The bottom panel shows the ratio of the data points to the expectations from the simulation. |
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Figure 3:
Log-likelihood scan for the measured inclusive fiducial cross section measurement. |
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Figure 4:
Measured inclusive fiducial cross section in different final states (left) and as a function of the center of mass energy $ \sqrt{s} $ (right). In the left panel the acceptance and theoretical uncertainties are calculated using POWHEG (blue), NNLOPS (orange), and MadGraph-5_aMC@NLO (pink). The sub-dominant component of the signal (VBF+VH+ttH) is denoted as XH and it is fixed to the SM prediction. In the right panel the acceptance is calculated using POWHEG at $ \sqrt{s}= $ 13 TeV and HRES [124,131] at $ \sqrt{s}= $ 7 and 8 TeV. |
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Figure 4-a:
Measured inclusive fiducial cross section in different final states (left) and as a function of the center of mass energy $ \sqrt{s} $ (right). In the left panel the acceptance and theoretical uncertainties are calculated using POWHEG (blue), NNLOPS (orange), and MadGraph-5_aMC@NLO (pink). The sub-dominant component of the signal (VBF+VH+ttH) is denoted as XH and it is fixed to the SM prediction. In the right panel the acceptance is calculated using POWHEG at $ \sqrt{s}= $ 13 TeV and HRES [124,131] at $ \sqrt{s}= $ 7 and 8 TeV. |
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Figure 4-b:
Measured inclusive fiducial cross section in different final states (left) and as a function of the center of mass energy $ \sqrt{s} $ (right). In the left panel the acceptance and theoretical uncertainties are calculated using POWHEG (blue), NNLOPS (orange), and MadGraph-5_aMC@NLO (pink). The sub-dominant component of the signal (VBF+VH+ttH) is denoted as XH and it is fixed to the SM prediction. In the right panel the acceptance is calculated using POWHEG at $ \sqrt{s}= $ 13 TeV and HRES [124,131] at $ \sqrt{s}= $ 7 and 8 TeV. |
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Figure 5:
Inclusive fiducial cross section measured in the various final states with the irreducible backgrounds normalization ZZ free in the fit (left) and corresponding correlation matrix (right). The acceptance and theoretical uncertainties in the differential bins are calculated using POWHEG (blue), NNLOPS (orange), and MadGraph-5_aMC@NLO (pink). The sub-dominant component of the signal (VBF+VH+ttH) is denoted as XH and it is fixed to the SM prediction. The ratio to the theoretical prediction obtained from each generator is shown in the central panel, while the bottom panel shows the ratio between the measured ZZ normalization and the MC prediction. |
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Figure 5-a:
Inclusive fiducial cross section measured in the various final states with the irreducible backgrounds normalization ZZ free in the fit (left) and corresponding correlation matrix (right). The acceptance and theoretical uncertainties in the differential bins are calculated using POWHEG (blue), NNLOPS (orange), and MadGraph-5_aMC@NLO (pink). The sub-dominant component of the signal (VBF+VH+ttH) is denoted as XH and it is fixed to the SM prediction. The ratio to the theoretical prediction obtained from each generator is shown in the central panel, while the bottom panel shows the ratio between the measured ZZ normalization and the MC prediction. |
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Figure 5-b:
Inclusive fiducial cross section measured in the various final states with the irreducible backgrounds normalization ZZ free in the fit (left) and corresponding correlation matrix (right). The acceptance and theoretical uncertainties in the differential bins are calculated using POWHEG (blue), NNLOPS (orange), and MadGraph-5_aMC@NLO (pink). The sub-dominant component of the signal (VBF+VH+ttH) is denoted as XH and it is fixed to the SM prediction. The ratio to the theoretical prediction obtained from each generator is shown in the central panel, while the bottom panel shows the ratio between the measured ZZ normalization and the MC prediction. |
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Figure 6:
Differential cross sections as a function of the transverse momentum of the Higgs boson $ p_{\mathrm{T}}^{\mathrm{H}} $ (left) and of the rapidity of the Higgs boson $ |y_{\mathrm{H}}| $ (right). The fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\mathrm{H}} > $ 200 GeV and normalized to a bin width of 50 GeV. The acceptance and theoretical uncertainties in the differential bins are calculated using the ggH predictions from the POWHEG generator (blue) normalized to $ \mathrm{N^3LO} $. The sub-dominant component of the signal (VBF+VH+ttH) is denoted as XH and is fixed to the SM prediction. The measured cross sections are also compared with the ggH predictions from NNLOPS (orange) and MadGraph-5_aMC@NLO (pink). The hatched areas correspond to the systematic uncertainties on the theoretical predictions and are obtained from the uncertainty on the fiducial acceptance, the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ branching ratio, and variations of the PDF replicas, $ \alpha_s $ value, and QCD renormalization and factorization scales. Black points represent the measured fiducial cross sections in each bin, black error bars the total uncertainty on each measurement, red boxes the systematic uncertainties. The bottom panels of the plots display the ratio of the observed cross section values, POWHEG, and MadGraph-5_aMC@NLO predictions to the NNLOPS theoretical expectation. |
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Figure 6-a:
Differential cross sections as a function of the transverse momentum of the Higgs boson $ p_{\mathrm{T}}^{\mathrm{H}} $ (left) and of the rapidity of the Higgs boson $ |y_{\mathrm{H}}| $ (right). The fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\mathrm{H}} > $ 200 GeV and normalized to a bin width of 50 GeV. The acceptance and theoretical uncertainties in the differential bins are calculated using the ggH predictions from the POWHEG generator (blue) normalized to $ \mathrm{N^3LO} $. The sub-dominant component of the signal (VBF+VH+ttH) is denoted as XH and is fixed to the SM prediction. The measured cross sections are also compared with the ggH predictions from NNLOPS (orange) and MadGraph-5_aMC@NLO (pink). The hatched areas correspond to the systematic uncertainties on the theoretical predictions and are obtained from the uncertainty on the fiducial acceptance, the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ branching ratio, and variations of the PDF replicas, $ \alpha_s $ value, and QCD renormalization and factorization scales. Black points represent the measured fiducial cross sections in each bin, black error bars the total uncertainty on each measurement, red boxes the systematic uncertainties. The bottom panels of the plots display the ratio of the observed cross section values, POWHEG, and MadGraph-5_aMC@NLO predictions to the NNLOPS theoretical expectation. |
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Figure 6-b:
Differential cross sections as a function of the transverse momentum of the Higgs boson $ p_{\mathrm{T}}^{\mathrm{H}} $ (left) and of the rapidity of the Higgs boson $ |y_{\mathrm{H}}| $ (right). The fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\mathrm{H}} > $ 200 GeV and normalized to a bin width of 50 GeV. The acceptance and theoretical uncertainties in the differential bins are calculated using the ggH predictions from the POWHEG generator (blue) normalized to $ \mathrm{N^3LO} $. The sub-dominant component of the signal (VBF+VH+ttH) is denoted as XH and is fixed to the SM prediction. The measured cross sections are also compared with the ggH predictions from NNLOPS (orange) and MadGraph-5_aMC@NLO (pink). The hatched areas correspond to the systematic uncertainties on the theoretical predictions and are obtained from the uncertainty on the fiducial acceptance, the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ branching ratio, and variations of the PDF replicas, $ \alpha_s $ value, and QCD renormalization and factorization scales. Black points represent the measured fiducial cross sections in each bin, black error bars the total uncertainty on each measurement, red boxes the systematic uncertainties. The bottom panels of the plots display the ratio of the observed cross section values, POWHEG, and MadGraph-5_aMC@NLO predictions to the NNLOPS theoretical expectation. |
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Figure 7:
Differential cross sections as a function of the number of jets in the event (top left) and of the $ p_{\mathrm{T}} $ of the leading (top right) and sub-leading (bottom) jet. Top right: the fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\text{j1}} > $ 200 GeV and normalized to a bin width of 40 GeV. The first bin comprises all events with less than one jet, for which $ p_{\mathrm{T}}^{\text{j1}} $ is undefined. Bottom: The fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\text{j2}} > $ 90 GeV and normalized to a bin width of 150 GeV. The first bin comprises all events with less than two jet, for which $ p_{\mathrm{T}}^{\text{j2}} $ is undefined. The content of each plot is described in the caption of Fig. 6. |
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Figure 7-a:
Differential cross sections as a function of the number of jets in the event (top left) and of the $ p_{\mathrm{T}} $ of the leading (top right) and sub-leading (bottom) jet. Top right: the fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\text{j1}} > $ 200 GeV and normalized to a bin width of 40 GeV. The first bin comprises all events with less than one jet, for which $ p_{\mathrm{T}}^{\text{j1}} $ is undefined. Bottom: The fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\text{j2}} > $ 90 GeV and normalized to a bin width of 150 GeV. The first bin comprises all events with less than two jet, for which $ p_{\mathrm{T}}^{\text{j2}} $ is undefined. The content of each plot is described in the caption of Fig. 6. |
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Figure 7-b:
Differential cross sections as a function of the number of jets in the event (top left) and of the $ p_{\mathrm{T}} $ of the leading (top right) and sub-leading (bottom) jet. Top right: the fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\text{j1}} > $ 200 GeV and normalized to a bin width of 40 GeV. The first bin comprises all events with less than one jet, for which $ p_{\mathrm{T}}^{\text{j1}} $ is undefined. Bottom: The fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\text{j2}} > $ 90 GeV and normalized to a bin width of 150 GeV. The first bin comprises all events with less than two jet, for which $ p_{\mathrm{T}}^{\text{j2}} $ is undefined. The content of each plot is described in the caption of Fig. 6. |
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Figure 7-c:
Differential cross sections as a function of the number of jets in the event (top left) and of the $ p_{\mathrm{T}} $ of the leading (top right) and sub-leading (bottom) jet. Top right: the fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\text{j1}} > $ 200 GeV and normalized to a bin width of 40 GeV. The first bin comprises all events with less than one jet, for which $ p_{\mathrm{T}}^{\text{j1}} $ is undefined. Bottom: The fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\text{j2}} > $ 90 GeV and normalized to a bin width of 150 GeV. The first bin comprises all events with less than two jet, for which $ p_{\mathrm{T}}^{\text{j2}} $ is undefined. The content of each plot is described in the caption of Fig. 6. |
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Figure 8:
Differential cross sections as a function of the invariant mass $ m_\text{jj} $ (left) and the difference in pseudorapidity $ |\Delta\eta_\text{jj}| $ (right) of the di-jet system. Left: the fiducial cross section in the last bin is measured for events with $ m_\text{jj} > $ 300 GeV and normalized to a bin width of 225 GeV. The first bin comprises all events with less than two jets, for which $ m_\text{jj} $ is undefined. Right: the first bin comprises all events with less than two jet, for which $ |\Delta\eta_\text{jj}| $ is undefined. The content of each plot is described in the caption of Fig. 6. |
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Figure 8-a:
Differential cross sections as a function of the invariant mass $ m_\text{jj} $ (left) and the difference in pseudorapidity $ |\Delta\eta_\text{jj}| $ (right) of the di-jet system. Left: the fiducial cross section in the last bin is measured for events with $ m_\text{jj} > $ 300 GeV and normalized to a bin width of 225 GeV. The first bin comprises all events with less than two jets, for which $ m_\text{jj} $ is undefined. Right: the first bin comprises all events with less than two jet, for which $ |\Delta\eta_\text{jj}| $ is undefined. The content of each plot is described in the caption of Fig. 6. |
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Figure 8-b:
Differential cross sections as a function of the invariant mass $ m_\text{jj} $ (left) and the difference in pseudorapidity $ |\Delta\eta_\text{jj}| $ (right) of the di-jet system. Left: the fiducial cross section in the last bin is measured for events with $ m_\text{jj} > $ 300 GeV and normalized to a bin width of 225 GeV. The first bin comprises all events with less than two jets, for which $ m_\text{jj} $ is undefined. Right: the first bin comprises all events with less than two jet, for which $ |\Delta\eta_\text{jj}| $ is undefined. The content of each plot is described in the caption of Fig. 6. |
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Figure 9:
Top left: Differential cross sections as a function of the invariant mass of the H+j system $ m_{\mathrm{H} \text{j}} $, where j is the leading jet in the event. The fiducial cross section in the last bin is measured for events with $ m_{\mathrm{H} \text{j}} > $ 600 GeV and normalized to a bin width of 280 GeV. The first bin comprises all events with less than one jet, for which $ m_{\mathrm{H} \text{j}} $ is undefined. Top right: Differential cross sections as a function of the transverse momentum of the H+j system $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $. The fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} > $ 110 GeV and normalized to a bin width of 90 GeV. The first bin comprises all events with less than one jet, for which $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $ is undefined. Bottom: Differential cross sections as a function of the transverse momentum of the H+jj system $ p_{\mathrm{T}}^{\mathrm{H} \text{jj}} $. The fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\mathrm{H} \text{jj}} > $ 60 GeV and normalized to a bin width of 40 GeV. The first bin comprises all events with less than two jet, for which $ p_{\mathrm{T}}^{\mathrm{H} \text{j}\text{j}} $ is undefined. The content of each plot is described in the caption of Fig. 6. |
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Figure 9-a:
Top left: Differential cross sections as a function of the invariant mass of the H+j system $ m_{\mathrm{H} \text{j}} $, where j is the leading jet in the event. The fiducial cross section in the last bin is measured for events with $ m_{\mathrm{H} \text{j}} > $ 600 GeV and normalized to a bin width of 280 GeV. The first bin comprises all events with less than one jet, for which $ m_{\mathrm{H} \text{j}} $ is undefined. Top right: Differential cross sections as a function of the transverse momentum of the H+j system $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $. The fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} > $ 110 GeV and normalized to a bin width of 90 GeV. The first bin comprises all events with less than one jet, for which $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $ is undefined. Bottom: Differential cross sections as a function of the transverse momentum of the H+jj system $ p_{\mathrm{T}}^{\mathrm{H} \text{jj}} $. The fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\mathrm{H} \text{jj}} > $ 60 GeV and normalized to a bin width of 40 GeV. The first bin comprises all events with less than two jet, for which $ p_{\mathrm{T}}^{\mathrm{H} \text{j}\text{j}} $ is undefined. The content of each plot is described in the caption of Fig. 6. |
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Figure 9-b:
Top left: Differential cross sections as a function of the invariant mass of the H+j system $ m_{\mathrm{H} \text{j}} $, where j is the leading jet in the event. The fiducial cross section in the last bin is measured for events with $ m_{\mathrm{H} \text{j}} > $ 600 GeV and normalized to a bin width of 280 GeV. The first bin comprises all events with less than one jet, for which $ m_{\mathrm{H} \text{j}} $ is undefined. Top right: Differential cross sections as a function of the transverse momentum of the H+j system $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $. The fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} > $ 110 GeV and normalized to a bin width of 90 GeV. The first bin comprises all events with less than one jet, for which $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $ is undefined. Bottom: Differential cross sections as a function of the transverse momentum of the H+jj system $ p_{\mathrm{T}}^{\mathrm{H} \text{jj}} $. The fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\mathrm{H} \text{jj}} > $ 60 GeV and normalized to a bin width of 40 GeV. The first bin comprises all events with less than two jet, for which $ p_{\mathrm{T}}^{\mathrm{H} \text{j}\text{j}} $ is undefined. The content of each plot is described in the caption of Fig. 6. |
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Figure 9-c:
Top left: Differential cross sections as a function of the invariant mass of the H+j system $ m_{\mathrm{H} \text{j}} $, where j is the leading jet in the event. The fiducial cross section in the last bin is measured for events with $ m_{\mathrm{H} \text{j}} > $ 600 GeV and normalized to a bin width of 280 GeV. The first bin comprises all events with less than one jet, for which $ m_{\mathrm{H} \text{j}} $ is undefined. Top right: Differential cross sections as a function of the transverse momentum of the H+j system $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $. The fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} > $ 110 GeV and normalized to a bin width of 90 GeV. The first bin comprises all events with less than one jet, for which $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $ is undefined. Bottom: Differential cross sections as a function of the transverse momentum of the H+jj system $ p_{\mathrm{T}}^{\mathrm{H} \text{jj}} $. The fiducial cross section in the last bin is measured for events with $ p_{\mathrm{T}}^{\mathrm{H} \text{jj}} > $ 60 GeV and normalized to a bin width of 40 GeV. The first bin comprises all events with less than two jet, for which $ p_{\mathrm{T}}^{\mathrm{H} \text{j}\text{j}} $ is undefined. The content of each plot is described in the caption of Fig. 6. |
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Figure 10:
Left: Differential cross sections as a function of the rapidity-weighed jet veto $ \mathcal{T}_{\text{C}}^{\text{max}} $. The fiducial cross section in the last bin is measured for events with $ \mathcal{T}_{\text{C}}^{\text{max}} > $ 80 GeV and normalized to a bin width of 70 GeV. The first bin comprises all events in the 0-jet phase space region redefined as a function of $ \mathcal{T}_{\text{C}}^{\text{max}} $, i.e. events with less than one jet, for which $ \mathcal{T}_{\text{C}}^{\text{max}} $ is undefined, and events with $ \mathcal{T}_{\text{C}}^{\text{max}} < $ 15 GeV. Right: Differential cross sections as a function of the rapidity-weighed jet veto $ \mathcal{T}_{\text{B}}^{\text{max}} $. The fiducial cross section in the last bin is measured for events with $ \mathcal{T}_{\text{B}}^{\text{max}} > $ 150 GeV and normalized to a bin width of 150 GeV. The first bin comprises all events in the 0-jet phase space region redefined as a function of $ \mathcal{T}_{\text{B}}^{\text{max}} $, i.e. events with less than one jet, for which $ \mathcal{T}_{\text{B}}^{\text{max}} $ is undefined, and events with $ \mathcal{T}_{\text{B}}^{\text{max}} < $ 30 GeV. The content of each plot is described in the caption of Fig. 6. |
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Figure 10-a:
Left: Differential cross sections as a function of the rapidity-weighed jet veto $ \mathcal{T}_{\text{C}}^{\text{max}} $. The fiducial cross section in the last bin is measured for events with $ \mathcal{T}_{\text{C}}^{\text{max}} > $ 80 GeV and normalized to a bin width of 70 GeV. The first bin comprises all events in the 0-jet phase space region redefined as a function of $ \mathcal{T}_{\text{C}}^{\text{max}} $, i.e. events with less than one jet, for which $ \mathcal{T}_{\text{C}}^{\text{max}} $ is undefined, and events with $ \mathcal{T}_{\text{C}}^{\text{max}} < $ 15 GeV. Right: Differential cross sections as a function of the rapidity-weighed jet veto $ \mathcal{T}_{\text{B}}^{\text{max}} $. The fiducial cross section in the last bin is measured for events with $ \mathcal{T}_{\text{B}}^{\text{max}} > $ 150 GeV and normalized to a bin width of 150 GeV. The first bin comprises all events in the 0-jet phase space region redefined as a function of $ \mathcal{T}_{\text{B}}^{\text{max}} $, i.e. events with less than one jet, for which $ \mathcal{T}_{\text{B}}^{\text{max}} $ is undefined, and events with $ \mathcal{T}_{\text{B}}^{\text{max}} < $ 30 GeV. The content of each plot is described in the caption of Fig. 6. |
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Figure 10-b:
Left: Differential cross sections as a function of the rapidity-weighed jet veto $ \mathcal{T}_{\text{C}}^{\text{max}} $. The fiducial cross section in the last bin is measured for events with $ \mathcal{T}_{\text{C}}^{\text{max}} > $ 80 GeV and normalized to a bin width of 70 GeV. The first bin comprises all events in the 0-jet phase space region redefined as a function of $ \mathcal{T}_{\text{C}}^{\text{max}} $, i.e. events with less than one jet, for which $ \mathcal{T}_{\text{C}}^{\text{max}} $ is undefined, and events with $ \mathcal{T}_{\text{C}}^{\text{max}} < $ 15 GeV. Right: Differential cross sections as a function of the rapidity-weighed jet veto $ \mathcal{T}_{\text{B}}^{\text{max}} $. The fiducial cross section in the last bin is measured for events with $ \mathcal{T}_{\text{B}}^{\text{max}} > $ 150 GeV and normalized to a bin width of 150 GeV. The first bin comprises all events in the 0-jet phase space region redefined as a function of $ \mathcal{T}_{\text{B}}^{\text{max}} $, i.e. events with less than one jet, for which $ \mathcal{T}_{\text{B}}^{\text{max}} $ is undefined, and events with $ \mathcal{T}_{\text{B}}^{\text{max}} < $ 30 GeV. The content of each plot is described in the caption of Fig. 6. |
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Figure 11:
Differential cross sections as a function of the invariant mass of the leading di-lepton pair $ m_{\mathrm{Z}_{1}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
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Figure 11-a:
Differential cross sections as a function of the invariant mass of the leading di-lepton pair $ m_{\mathrm{Z}_{1}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
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Figure 11-b:
Differential cross sections as a function of the invariant mass of the leading di-lepton pair $ m_{\mathrm{Z}_{1}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
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Figure 11-c:
Differential cross sections as a function of the invariant mass of the leading di-lepton pair $ m_{\mathrm{Z}_{1}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
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Figure 12:
Differential cross sections as a function of the invariant mass of the leading di-lepton pair $ m_{\mathrm{Z}_{2}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
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Figure 12-a:
Differential cross sections as a function of the invariant mass of the leading di-lepton pair $ m_{\mathrm{Z}_{2}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
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Figure 12-b:
Differential cross sections as a function of the invariant mass of the leading di-lepton pair $ m_{\mathrm{Z}_{2}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
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Figure 12-c:
Differential cross sections as a function of the invariant mass of the leading di-lepton pair $ m_{\mathrm{Z}_{2}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
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Figure 13:
Differential cross sections as a function of $ \cos \theta^* $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
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Figure 13-a:
Differential cross sections as a function of $ \cos \theta^* $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
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Figure 13-b:
Differential cross sections as a function of $ \cos \theta^* $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
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Figure 13-c:
Differential cross sections as a function of $ \cos \theta^* $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
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Figure 14:
Differential cross sections as a function of $ \cos \theta_\text{1} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
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Figure 14-a:
Differential cross sections as a function of $ \cos \theta_\text{1} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
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Figure 14-b:
Differential cross sections as a function of $ \cos \theta_\text{1} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
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Figure 14-c:
Differential cross sections as a function of $ \cos \theta_\text{1} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
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Figure 15:
Differential cross sections as a function of $ \cos \theta_\text{2} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
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Figure 15-a:
Differential cross sections as a function of $ \cos \theta_\text{2} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
png pdf |
Figure 15-b:
Differential cross sections as a function of $ \cos \theta_\text{2} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
png pdf |
Figure 15-c:
Differential cross sections as a function of $ \cos \theta_\text{2} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
png pdf |
Figure 16:
Differential cross sections as a function of the $ \Phi $ angle in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
png pdf |
Figure 16-a:
Differential cross sections as a function of the $ \Phi $ angle in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
png pdf |
Figure 16-b:
Differential cross sections as a function of the $ \Phi $ angle in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
png pdf |
Figure 16-c:
Differential cross sections as a function of the $ \Phi $ angle in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
png pdf |
Figure 17:
Differential cross sections as a function of the $ \Phi_\text{1} $ angle in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
png pdf |
Figure 17-a:
Differential cross sections as a function of the $ \Phi_\text{1} $ angle in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
png pdf |
Figure 17-b:
Differential cross sections as a function of the $ \Phi_\text{1} $ angle in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
png pdf |
Figure 17-c:
Differential cross sections as a function of the $ \Phi_\text{1} $ angle in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. |
png pdf |
Figure 18:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}^{\text{dec}}_{\text{0-}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The brown histogram shows the distribution of the matrix element discriminant for the HVV anomalous coupling scenario corresponding to $ f_{a3} = $ 1. |
png pdf |
Figure 18-a:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}^{\text{dec}}_{\text{0-}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The brown histogram shows the distribution of the matrix element discriminant for the HVV anomalous coupling scenario corresponding to $ f_{a3} = $ 1. |
png pdf |
Figure 18-b:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}^{\text{dec}}_{\text{0-}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The brown histogram shows the distribution of the matrix element discriminant for the HVV anomalous coupling scenario corresponding to $ f_{a3} = $ 1. |
png pdf |
Figure 18-c:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}^{\text{dec}}_{\text{0-}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The brown histogram shows the distribution of the matrix element discriminant for the HVV anomalous coupling scenario corresponding to $ f_{a3} = $ 1. |
png pdf |
Figure 19:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}^{\text{dec}}_{\text{0h+}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The brown histogram shows the distribution of the matrix element discriminant for the HVV anomalous coupling scenario corresponding to $ f_{a2} = $ 1. |
png pdf |
Figure 19-a:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}^{\text{dec}}_{\text{0h+}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The brown histogram shows the distribution of the matrix element discriminant for the HVV anomalous coupling scenario corresponding to $ f_{a2} = $ 1. |
png pdf |
Figure 19-b:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}^{\text{dec}}_{\text{0h+}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The brown histogram shows the distribution of the matrix element discriminant for the HVV anomalous coupling scenario corresponding to $ f_{a2} = $ 1. |
png pdf |
Figure 19-c:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}^{\text{dec}}_{\text{0h+}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The brown histogram shows the distribution of the matrix element discriminant for the HVV anomalous coupling scenario corresponding to $ f_{a2} = $ 1. |
png pdf |
Figure 20:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}^{\text{dec}}_{\text{CP}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The purple histogram shows the distribution of the discriminant for the HVV anomalous coupling scenario corresponding to $ f_{a3} = $ 0.5. |
png pdf |
Figure 20-a:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}^{\text{dec}}_{\text{CP}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The purple histogram shows the distribution of the discriminant for the HVV anomalous coupling scenario corresponding to $ f_{a3} = $ 0.5. |
png pdf |
Figure 20-b:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}^{\text{dec}}_{\text{CP}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The purple histogram shows the distribution of the discriminant for the HVV anomalous coupling scenario corresponding to $ f_{a3} = $ 0.5. |
png pdf |
Figure 20-c:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}^{\text{dec}}_{\text{CP}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The purple histogram shows the distribution of the discriminant for the HVV anomalous coupling scenario corresponding to $ f_{a3} = $ 0.5. |
png pdf |
Figure 21:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}_{\text{int}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The purple histogram shows the distribution of the discriminant for the HVV anomalous coupling scenario corresponding to $ f_{a2} = $ 0.5. |
png pdf |
Figure 21-a:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}_{\text{int}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The purple histogram shows the distribution of the discriminant for the HVV anomalous coupling scenario corresponding to $ f_{a2} = $ 0.5. |
png pdf |
Figure 21-b:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}_{\text{int}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The purple histogram shows the distribution of the discriminant for the HVV anomalous coupling scenario corresponding to $ f_{a2} = $ 0.5. |
png pdf |
Figure 21-c:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}_{\text{int}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The purple histogram shows the distribution of the discriminant for the HVV anomalous coupling scenario corresponding to $ f_{a2} = $ 0.5. |
png pdf |
Figure 22:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}^{\text{dec}}_{\Lambda\text{1}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The brown and purple histograms show the distributions of the discriminant for the HVV anomalous coupling scenarios corresponding to $ f_{\Lambda 1} = $ 1 and $ f_{\Lambda 1} = $ 0.5. |
png pdf |
Figure 22-a:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}^{\text{dec}}_{\Lambda\text{1}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The brown and purple histograms show the distributions of the discriminant for the HVV anomalous coupling scenarios corresponding to $ f_{\Lambda 1} = $ 1 and $ f_{\Lambda 1} = $ 0.5. |
png pdf |
Figure 22-b:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}^{\text{dec}}_{\Lambda\text{1}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The brown and purple histograms show the distributions of the discriminant for the HVV anomalous coupling scenarios corresponding to $ f_{\Lambda 1} = $ 1 and $ f_{\Lambda 1} = $ 0.5. |
png pdf |
Figure 22-c:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}^{\text{dec}}_{\Lambda\text{1}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The brown and purple histograms show the distributions of the discriminant for the HVV anomalous coupling scenarios corresponding to $ f_{\Lambda 1} = $ 1 and $ f_{\Lambda 1} = $ 0.5. |
png pdf |
Figure 23:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}_{\Lambda\text{1}}^{\mathrm{Z}\gamma, \text{dec}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The brown and purple histograms show the distributions of the discriminant for the HVV anomalous coupling scenarios corresponding to $ f_{\Lambda 1}^{\mathrm{Z}\gamma} = $ 1 and $ f_{\Lambda 1}^{\mathrm{Z}\gamma} = $ 0.5. |
png pdf |
Figure 23-a:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}_{\Lambda\text{1}}^{\mathrm{Z}\gamma, \text{dec}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The brown and purple histograms show the distributions of the discriminant for the HVV anomalous coupling scenarios corresponding to $ f_{\Lambda 1}^{\mathrm{Z}\gamma} = $ 1 and $ f_{\Lambda 1}^{\mathrm{Z}\gamma} = $ 0.5. |
png pdf |
Figure 23-b:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}_{\Lambda\text{1}}^{\mathrm{Z}\gamma, \text{dec}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The brown and purple histograms show the distributions of the discriminant for the HVV anomalous coupling scenarios corresponding to $ f_{\Lambda 1}^{\mathrm{Z}\gamma} = $ 1 and $ f_{\Lambda 1}^{\mathrm{Z}\gamma} = $ 0.5. |
png pdf |
Figure 23-c:
Differential cross sections as a function of the matrix element kinematic discriminant $ {\mathcal D}_{\Lambda\text{1}}^{\mathrm{Z}\gamma, \text{dec}} $ in the 4$ \ell $ (top) and in the same-flavor (bottom left) and different flavor (bottom right) final states. The content of each plot is described in the caption of Fig. 6. The brown and purple histograms show the distributions of the discriminant for the HVV anomalous coupling scenarios corresponding to $ f_{\Lambda 1}^{\mathrm{Z}\gamma} = $ 1 and $ f_{\Lambda 1}^{\mathrm{Z}\gamma} = $ 0.5. |
png pdf |
Figure 24:
Double differential cross sections in bins of $ |y_{\mathrm{H}}| $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (top left), number of associated jets vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (top right), $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (centre left), $ \mathcal{T}_{\text{C}}^{\text{max}} $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (centre right), $ m_{\mathrm{Z}_{1}} $ vs $ m_{\mathrm{Z}_{2}} $ (bottom left), and $ p_{\mathrm{T}} $ of the leading vs sub-leading jet (bottom right). The binnings of the various measurements are reported in Tables 4--9. The content of each plot is described in the caption of Fig. 6. |
png pdf |
Figure 24-a:
Double differential cross sections in bins of $ |y_{\mathrm{H}}| $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (top left), number of associated jets vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (top right), $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (centre left), $ \mathcal{T}_{\text{C}}^{\text{max}} $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (centre right), $ m_{\mathrm{Z}_{1}} $ vs $ m_{\mathrm{Z}_{2}} $ (bottom left), and $ p_{\mathrm{T}} $ of the leading vs sub-leading jet (bottom right). The binnings of the various measurements are reported in Tables 4--9. The content of each plot is described in the caption of Fig. 6. |
png pdf |
Figure 24-b:
Double differential cross sections in bins of $ |y_{\mathrm{H}}| $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (top left), number of associated jets vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (top right), $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (centre left), $ \mathcal{T}_{\text{C}}^{\text{max}} $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (centre right), $ m_{\mathrm{Z}_{1}} $ vs $ m_{\mathrm{Z}_{2}} $ (bottom left), and $ p_{\mathrm{T}} $ of the leading vs sub-leading jet (bottom right). The binnings of the various measurements are reported in Tables 4--9. The content of each plot is described in the caption of Fig. 6. |
png pdf |
Figure 24-c:
Double differential cross sections in bins of $ |y_{\mathrm{H}}| $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (top left), number of associated jets vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (top right), $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (centre left), $ \mathcal{T}_{\text{C}}^{\text{max}} $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (centre right), $ m_{\mathrm{Z}_{1}} $ vs $ m_{\mathrm{Z}_{2}} $ (bottom left), and $ p_{\mathrm{T}} $ of the leading vs sub-leading jet (bottom right). The binnings of the various measurements are reported in Tables 4--9. The content of each plot is described in the caption of Fig. 6. |
png pdf |
Figure 24-d:
Double differential cross sections in bins of $ |y_{\mathrm{H}}| $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (top left), number of associated jets vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (top right), $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (centre left), $ \mathcal{T}_{\text{C}}^{\text{max}} $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (centre right), $ m_{\mathrm{Z}_{1}} $ vs $ m_{\mathrm{Z}_{2}} $ (bottom left), and $ p_{\mathrm{T}} $ of the leading vs sub-leading jet (bottom right). The binnings of the various measurements are reported in Tables 4--9. The content of each plot is described in the caption of Fig. 6. |
png pdf |
Figure 24-e:
Double differential cross sections in bins of $ |y_{\mathrm{H}}| $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (top left), number of associated jets vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (top right), $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (centre left), $ \mathcal{T}_{\text{C}}^{\text{max}} $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (centre right), $ m_{\mathrm{Z}_{1}} $ vs $ m_{\mathrm{Z}_{2}} $ (bottom left), and $ p_{\mathrm{T}} $ of the leading vs sub-leading jet (bottom right). The binnings of the various measurements are reported in Tables 4--9. The content of each plot is described in the caption of Fig. 6. |
png pdf |
Figure 24-f:
Double differential cross sections in bins of $ |y_{\mathrm{H}}| $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (top left), number of associated jets vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (top right), $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (centre left), $ \mathcal{T}_{\text{C}}^{\text{max}} $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $ (centre right), $ m_{\mathrm{Z}_{1}} $ vs $ m_{\mathrm{Z}_{2}} $ (bottom left), and $ p_{\mathrm{T}} $ of the leading vs sub-leading jet (bottom right). The binnings of the various measurements are reported in Tables 4--9. The content of each plot is described in the caption of Fig. 6. |
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Figure 25:
Likelihood scan as a function of $ \kappa_\lambda $. The scan is shown both with (solid line) and without (dashed line) systematic uncertainties profiled in the fit. |
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Figure 26:
Simultaneous fit of $ \kappa_\text{b} $ and $ \kappa_\text{c} $, assuming a coupling dependence of the branching fractions (left) and treating them as unconstrained parameters in the fit (right). |
png pdf |
Figure 26-a:
Simultaneous fit of $ \kappa_\text{b} $ and $ \kappa_\text{c} $, assuming a coupling dependence of the branching fractions (left) and treating them as unconstrained parameters in the fit (right). |
png pdf |
Figure 26-b:
Simultaneous fit of $ \kappa_\text{b} $ and $ \kappa_\text{c} $, assuming a coupling dependence of the branching fractions (left) and treating them as unconstrained parameters in the fit (right). |
| Tables | |
png pdf |
Table 1:
Thresholds applied on the $ p_{\mathrm{T}} $ of the leading/subleading leptons for the main di-electron (e/e), di-muon ($ \mu $/$ \mu $), and electron-muon (e/$ \mu $, $ \mu $/e) high-level trigger algorithms used in this analysis in each data-taking period. |
png pdf |
Table 2:
Summary of the requirements used in the definition of the fiducial phase space for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ cross section measurements. |
png pdf |
Table 3:
Observables studied and bin boundaries considered in the analysis. |
png pdf |
Table 4:
Bin boundaries used for the double differential measurement in $ m_{\mathrm{Z}_{1}} $ vs $ m_{\mathrm{Z}_{2}} $. |
png pdf |
Table 5:
Bin boundaries used for the double differential measurement in $ |y_{\mathrm{H}}| $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $. |
png pdf |
Table 6:
Bin boundaries used for the double differential measurement in $ N_\text{jets} $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $. |
png pdf |
Table 7:
Bin boundaries used for the double differential measurement in $ p_{\mathrm{T}}^{\text{j}_1} $ vs $ p_{\mathrm{T}}^{\text{j}_2} $. |
png pdf |
Table 8:
Bin boundaries used for the double differential measurement in $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $. |
png pdf |
Table 9:
Bin boundaries used for the double differential measurement in $ \mathcal{T}_{\text{C}}^{\text{max}} $ vs $ p_{\mathrm{T}}^{\mathrm{H}} $. The first six bins comprise events in the 0-jet phase space region redefined as a function of $ \mathcal{T}_{\text{C}}^{\text{max}} $, i.e. events with less than one jet, for which $ \mathcal{T}_{\text{C}}^{\text{max}} $ is undefined, and events with $ \mathcal{T}_{\text{C}}^{\text{max}} < $ 15 GeV. |
png pdf |
Table 10:
Matrix element kinematic discriminants considered in the analysis. |
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Table 11:
Summary of the inputs for the maximum likelihood based unfolding. The fraction of signal events within the fiducial phase space (acceptance $ \mathcal{A}_{\text{fid}} $), the reconstruction efficiency ($ \epsilon $) in the fiducial phase space, and the ratio of the number of reconstructed events outside the fiducial phase space to that of in the fiducial phase space ($ f_{\text{nonfid}} $) are quoted for each production mechanism for $ m_{\mathrm{H}} = $ 125.38 GeV. The last column shows the value of $ (1+f_{\text{nonfid}})\epsilon $, which regulates the signal yield for a given fiducial cross section. All values are shown with their statistical uncertainty. |
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Table 12:
Summary of the experimental systematic uncertainties considered in the analysis. |
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Table 13:
Measured inclusive fiducial cross section and $ \pm $1 standard deviation uncertainties for the various final states and data-taking periods at $ m_{\mathrm{H}}= $ 125.38 GeV. The top row summarizes the results obtained when the irreducible background normalization is fixed to the SM expectation, while the bottom rows present the results from a fit with the ZZ normalization treated as unconstrained parameter. The statistical and systematic uncertainties are given separately for the inclusive measurements. |
| Summary |
| This note presents a comprehensive characterization of the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ decay channel via the measurement of fiducial differential cross sections as a function of several kinematic observables. The H boson production is characterized via measurements of differential cross sections in bins of the H boson transverse momentum and rapidity, the transverse momentum of the leading and sub-leading jets, and the observables of the di-jet system, when produced in association with jets. For the first time, fiducial cross sections are measured in bins of the seven kinematic observables that define the four-lepton decay: the invariant mass of the two Z bosons and the five angles that describe the fermions kinematical properties ($ \Phi $, $ \theta_1$, $ \theta_2$) and the production and decay planes ($ \Phi_1$, $ \theta^* $). Differential cross sections are also measured for the first time in bins of six matrix element kinematic discriminants sensitive to various anomalous couplings of the H boson to vector bosons ($ {\mathcal D}^{\text{dec}}_{\text{0-}},\,{\mathcal D}^{\text{dec}}_{\text{0h+}},\,{\mathcal D}^{\text{dec}}_{\Lambda\text{1}},\,{\mathcal D}_{\Lambda\text{1}}^{\mathrm{Z}\gamma, \text{dec}},\,{\mathcal D}^{\text{dec}}_{\text{CP}},\,{\mathcal D}_{\text{int}} $). The dynamical evolution of QCD scales and resummation effects are probed by measuring cross sections in bins of $ \mathcal{T}_{\text{C}}^{\text{max}} $, $ \mathcal{T}_{\text{B}}^{\text{max}} $, and in bins of observables of the H+j(j) system. An extensive set of double-differential measurements is presented, providing a complete coverage of the phase space under study. The $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ inclusive fiducial cross section is measured to be $ \sigma_{{\text{fid}}}=$ 2.73 $\pm $ 0.26 fb, in agreement with the SM expectation of 2.86 $ \pm $ 0.15 fb. The measurement of the fiducial cross section in differential bins of the H boson transverse momentum is used to set constraints on the trilinear self-coupling of the H boson, with an observed (expected) limit of $ -5.5(-7.7) < \kappa_\lambda < 15.1(17.9) $ at 95% CL. Finally, constraints on the modifiers of H boson couplings to b and c quarks ($ \kappa_\text{b} $ and $ \kappa_\text{c} $) are also determined with an observed (expected) limit of $ -1.1(-1.3) < \kappa_\text{b} < 1.1(1.2) $ and $ -5.3(-5.7) < \kappa_\text{c} < 5.2(5.7) $ at 95% CL. All results are consistent with the SM predictions for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ decay channel in the considered fiducial phase space. |
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