CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-PAS-HIG-25-015
Measurements of inclusive and differential cross sections for Higgs boson production with decay to four leptons in proton-proton collisions at 13.6 TeV
Abstract: Measurements of Higgs boson (H) production cross sections in the four-lepton (4 $ \ell, \ell=\mathrm{e},\mu $) final state at a center-of-mass energy $ \sqrt{s}= $ 13.6 TeV are presented. These measurements are based on data collected with the CMS detector at the CERN LHC between 2022 and 2024, corresponding to an integrated luminosity of 171 fb$ ^{-1} $. Cross sections are measured in a fiducial region closely matching the experimental acceptance, both inclusively and differentially, as a function of a range of observables. Dedicated measurements targeting the production of the Higgs boson via vector boson fusion are also performed. The $ \mathrm{H}\to\mathrm{ZZ}\to 4\ell $ inclusive fiducial cross section is measured to be $ \sigma_\mathrm{fid} = $ 3.11 $ ^{+0.22}_{-0.22} $ ($ \mathrm{stat.} )^{+0.14}_{-0.12}( \mathrm{syst.} $) $ \mathrm{fb} $, in agreement with the standard model expectation of 3.05 $ ^{+0.17}_{-0.22} $ $ \mathrm{fb} $.
Figures & Tables Summary References CMS Publications
Figures

png pdf
Figure 1:
Distribution of the $ m_{4\ell} $ invariant mass in the ranges 70--200 GeV for the 2022--2024 data--taking period. The black points with error bars represent the data. The colored histograms show the signal (pink histogram) and the background contributions.

png pdf
Figure 2:
Measured inclusive fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process for the different final states, for the scenario in which the Higgs boson branching ratios to 2 $ e2\mu $, 4 $ e $, and 4 $ \mu $ are fixed to the Standard Model values. The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 3:
Likelihood scans of the expected and observed cross sections for the inclusive final state, where the Higgs boson branching ratios to 2 $ e2\mu $, 4 $ e $, and 4 $ \mu $ are fixed to the Standard Model values, and for the three individual final states (2 $ \mu 2e $, 4 $ \mu $, 4 $ e $), illustrating the impact of statistical and systematic uncertainties.

png pdf
Figure 3-a:
Likelihood scans of the expected and observed cross sections for the inclusive final state, where the Higgs boson branching ratios to 2 $ e2\mu $, 4 $ e $, and 4 $ \mu $ are fixed to the Standard Model values, and for the three individual final states (2 $ \mu 2e $, 4 $ \mu $, 4 $ e $), illustrating the impact of statistical and systematic uncertainties.

png pdf
Figure 3-b:
Likelihood scans of the expected and observed cross sections for the inclusive final state, where the Higgs boson branching ratios to 2 $ e2\mu $, 4 $ e $, and 4 $ \mu $ are fixed to the Standard Model values, and for the three individual final states (2 $ \mu 2e $, 4 $ \mu $, 4 $ e $), illustrating the impact of statistical and systematic uncertainties.

png pdf
Figure 3-c:
Likelihood scans of the expected and observed cross sections for the inclusive final state, where the Higgs boson branching ratios to 2 $ e2\mu $, 4 $ e $, and 4 $ \mu $ are fixed to the Standard Model values, and for the three individual final states (2 $ \mu 2e $, 4 $ \mu $, 4 $ e $), illustrating the impact of statistical and systematic uncertainties.

png pdf
Figure 3-d:
Likelihood scans of the expected and observed cross sections for the inclusive final state, where the Higgs boson branching ratios to 2 $ e2\mu $, 4 $ e $, and 4 $ \mu $ are fixed to the Standard Model values, and for the three individual final states (2 $ \mu 2e $, 4 $ \mu $, 4 $ e $), illustrating the impact of statistical and systematic uncertainties.

png pdf
Figure 4:
Measured inclusive fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process for the different final states (left) and likelihood scan (right) of the expected and observed cross section for the inclusive final state, for the scenario in which the Higgs boson branching ratios to 2 $ e2\mu $, 4 $ e $, and 4 $ \mu $ are treated as free parameters in the fit. The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 4-a:
Measured inclusive fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process for the different final states (left) and likelihood scan (right) of the expected and observed cross section for the inclusive final state, for the scenario in which the Higgs boson branching ratios to 2 $ e2\mu $, 4 $ e $, and 4 $ \mu $ are treated as free parameters in the fit. The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 4-b:
Measured inclusive fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process for the different final states (left) and likelihood scan (right) of the expected and observed cross section for the inclusive final state, for the scenario in which the Higgs boson branching ratios to 2 $ e2\mu $, 4 $ e $, and 4 $ \mu $ are treated as free parameters in the fit. The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 5:
Measured inclusive fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process for the different final states (left) and likelihood scan (right) of the expected and observed cross section for the inclusive final state, with the ZZ normalization treated as an unconstrained parameter. The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png
Figure 5-a:
Measured inclusive fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process for the different final states (left) and likelihood scan (right) of the expected and observed cross section for the inclusive final state, with the ZZ normalization treated as an unconstrained parameter. The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 5-b:
Measured inclusive fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process for the different final states (left) and likelihood scan (right) of the expected and observed cross section for the inclusive final state, with the ZZ normalization treated as an unconstrained parameter. The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 6:
Observed differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the four-lepton transverse momentum $ p_{\mathrm{T}}^{4\ell} $ (left) and the four-lepton rapidity $ |y_{4\ell}| $ (right). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 6-a:
Observed differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the four-lepton transverse momentum $ p_{\mathrm{T}}^{4\ell} $ (left) and the four-lepton rapidity $ |y_{4\ell}| $ (right). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 6-b:
Observed differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the four-lepton transverse momentum $ p_{\mathrm{T}}^{4\ell} $ (left) and the four-lepton rapidity $ |y_{4\ell}| $ (right). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 7:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the number of jets $ N_{j} $ (top left), transverse momentum of the leading jet $ p_T^{j1} $ (top right), and the invariant mass of the dijet system $ p_T^{j2} $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 7-a:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the number of jets $ N_{j} $ (top left), transverse momentum of the leading jet $ p_T^{j1} $ (top right), and the invariant mass of the dijet system $ p_T^{j2} $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 7-b:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the number of jets $ N_{j} $ (top left), transverse momentum of the leading jet $ p_T^{j1} $ (top right), and the invariant mass of the dijet system $ p_T^{j2} $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 7-c:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the number of jets $ N_{j} $ (top left), transverse momentum of the leading jet $ p_T^{j1} $ (top right), and the invariant mass of the dijet system $ p_T^{j2} $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 8:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the invariant mass of the two leading jets $ m_{jj} $ (top left), the absolute pseudorapidity separation between the two leading jets $ |\Delta \eta_{jj}| $ (top right) and the azimuthal angle difference between the two leading jets $ \Delta \phi_{jj} $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 8-a:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the invariant mass of the two leading jets $ m_{jj} $ (top left), the absolute pseudorapidity separation between the two leading jets $ |\Delta \eta_{jj}| $ (top right) and the azimuthal angle difference between the two leading jets $ \Delta \phi_{jj} $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 8-b:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the invariant mass of the two leading jets $ m_{jj} $ (top left), the absolute pseudorapidity separation between the two leading jets $ |\Delta \eta_{jj}| $ (top right) and the azimuthal angle difference between the two leading jets $ \Delta \phi_{jj} $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 8-c:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the invariant mass of the two leading jets $ m_{jj} $ (top left), the absolute pseudorapidity separation between the two leading jets $ |\Delta \eta_{jj}| $ (top right) and the azimuthal angle difference between the two leading jets $ \Delta \phi_{jj} $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 9:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the invariant mass of the $ \mathrm{H}+j $ system $ m_{\mathrm{H} j} $ (top left), where j is the leading jet in the event, the transverse momentum of the $ \mathrm{H}+j $ system $ p_{\mathrm{T}}^{\mathrm{H} j} $(top right) and the transverse momentum of the $ \mathrm{H}+jj $ system $ p_{\mathrm{T}}^{\mathrm{H} jj} $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 9-a:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the invariant mass of the $ \mathrm{H}+j $ system $ m_{\mathrm{H} j} $ (top left), where j is the leading jet in the event, the transverse momentum of the $ \mathrm{H}+j $ system $ p_{\mathrm{T}}^{\mathrm{H} j} $(top right) and the transverse momentum of the $ \mathrm{H}+jj $ system $ p_{\mathrm{T}}^{\mathrm{H} jj} $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 9-b:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the invariant mass of the $ \mathrm{H}+j $ system $ m_{\mathrm{H} j} $ (top left), where j is the leading jet in the event, the transverse momentum of the $ \mathrm{H}+j $ system $ p_{\mathrm{T}}^{\mathrm{H} j} $(top right) and the transverse momentum of the $ \mathrm{H}+jj $ system $ p_{\mathrm{T}}^{\mathrm{H} jj} $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 9-c:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the invariant mass of the $ \mathrm{H}+j $ system $ m_{\mathrm{H} j} $ (top left), where j is the leading jet in the event, the transverse momentum of the $ \mathrm{H}+j $ system $ p_{\mathrm{T}}^{\mathrm{H} j} $(top right) and the transverse momentum of the $ \mathrm{H}+jj $ system $ p_{\mathrm{T}}^{\mathrm{H} jj} $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 10:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the rapidity-weighed jet-observables \texttt\(\mathcalT_B^\textmax\) (left) and \texttt\(\mathcalT_C^\textmax\) (right). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 10-a:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the rapidity-weighed jet-observables \texttt\(\mathcalT_B^\textmax\) (left) and \texttt\(\mathcalT_C^\textmax\) (right). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 10-b:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the rapidity-weighed jet-observables \texttt\(\mathcalT_B^\textmax\) (left) and \texttt\(\mathcalT_C^\textmax\) (right). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 11:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function the invariant mass of the leading $ Z $ candidate $ m_{Z_1} $ (left), and the invariant mass of the subleading $ Z $ candidate $ m_{Z_2} $ (right). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 11-a:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function the invariant mass of the leading $ Z $ candidate $ m_{Z_1} $ (left), and the invariant mass of the subleading $ Z $ candidate $ m_{Z_2} $ (right). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 11-b:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function the invariant mass of the leading $ Z $ candidate $ m_{Z_1} $ (left), and the invariant mass of the subleading $ Z $ candidate $ m_{Z_2} $ (right). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 12:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the angular variables describing the Z boson decay, $ \Phi $ (top left) cos$ \theta_1 $ (top right) and cos$ \theta_2 $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 12-a:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the angular variables describing the Z boson decay, $ \Phi $ (top left) cos$ \theta_1 $ (top right) and cos$ \theta_2 $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 12-b:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the angular variables describing the Z boson decay, $ \Phi $ (top left) cos$ \theta_1 $ (top right) and cos$ \theta_2 $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 12-c:
Differential fiducial cross sections for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ process as a function of the angular variables describing the Z boson decay, $ \Phi $ (top left) cos$ \theta_1 $ (top right) and cos$ \theta_2 $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 13:
Differential fiducial cross sections for the $ H \rightarrow ZZ \rightarrow 4\ell $ process as a function of the angular variables connecting the production and decay processes, cos$ \theta^{\ast} $ (left) and $ \Phi_1 $(right). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 13-a:
Differential fiducial cross sections for the $ H \rightarrow ZZ \rightarrow 4\ell $ process as a function of the angular variables connecting the production and decay processes, cos$ \theta^{\ast} $ (left) and $ \Phi_1 $(right). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 13-b:
Differential fiducial cross sections for the $ H \rightarrow ZZ \rightarrow 4\ell $ process as a function of the angular variables connecting the production and decay processes, cos$ \theta^{\ast} $ (left) and $ \Phi_1 $(right). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 14:
Double differential cross sections in bins of $ |y_{\mathrm{H}}| $ vs. $ p_{\mathrm{T}}^{\mathrm{H}} $ (left) and $ {N_{j}} $ vs. $ p_{\mathrm{T}}^{\mathrm{H}} $ (right). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 14-a:
Double differential cross sections in bins of $ |y_{\mathrm{H}}| $ vs. $ p_{\mathrm{T}}^{\mathrm{H}} $ (left) and $ {N_{j}} $ vs. $ p_{\mathrm{T}}^{\mathrm{H}} $ (right). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 14-b:
Double differential cross sections in bins of $ |y_{\mathrm{H}}| $ vs. $ p_{\mathrm{T}}^{\mathrm{H}} $ (left) and $ {N_{j}} $ vs. $ p_{\mathrm{T}}^{\mathrm{H}} $ (right). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 15:
Double differential cross sections in bins of $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $ vs. $ p_{\mathrm{T}}^{\mathrm{H}} $ (upper left), $ p_{\mathrm{T}} $ of the leading vs. subleading jet (upper right) and $ m_{\mathrm{Z}_{1}} $ vs. $ m_{\mathrm{Z}_{2}} $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 15-a:
Double differential cross sections in bins of $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $ vs. $ p_{\mathrm{T}}^{\mathrm{H}} $ (upper left), $ p_{\mathrm{T}} $ of the leading vs. subleading jet (upper right) and $ m_{\mathrm{Z}_{1}} $ vs. $ m_{\mathrm{Z}_{2}} $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 15-b:
Double differential cross sections in bins of $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $ vs. $ p_{\mathrm{T}}^{\mathrm{H}} $ (upper left), $ p_{\mathrm{T}} $ of the leading vs. subleading jet (upper right) and $ m_{\mathrm{Z}_{1}} $ vs. $ m_{\mathrm{Z}_{2}} $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 15-c:
Double differential cross sections in bins of $ p_{\mathrm{T}}^{\mathrm{H} \text{j}} $ vs. $ p_{\mathrm{T}}^{\mathrm{H}} $ (upper left), $ p_{\mathrm{T}} $ of the leading vs. subleading jet (upper right) and $ m_{\mathrm{Z}_{1}} $ vs. $ m_{\mathrm{Z}_{2}} $ (bottom). The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 16:
Double differential cross sections in bins of $ |\Delta \eta_{jj}| $ vs. $ m_{jj} $. The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.

png pdf
Figure 17:
Double differential cross sections in bins of \texttt\(\mathcalT_C^\textmax\) vs. $ p_{\mathrm{T}}^{\mathrm{H}} $. The gg $ \to $ H predictions are shown for two different generators, POWHEG (blue) and NNLOPS (purple), normalized to the total cross section computed at next-to-next-to-next-to-leading order (N3LO), separately stacked over the the subdominant component of the signal from VBF + VH + t\=tH, denoted as xH (green). The hatched areas correspond to the systematic uncertainties in the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars indicate the total uncertainty in each measurement, and red boxes denote the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the POWHEG gg $ \to $ H + xH theoretical prediction to the NNLOPS gg $ \to $ H + POWHEG xH theoretical predictions.
Tables

png pdf
Table 1:
Summary of requirements used in the definition of the fiducial phase space for the $ \mathrm{H}\to4\ell $ cross section measurements.

png pdf
Table 2:
The differential cross sections measured in the analysis, including their descriptions and physics target (production or decay).

png pdf
Table 3:
Summary of relative systematic uncertainties considered in the analysis for 2022, 2023 and 2024.

png pdf
Table 4:
Post-fit yields for the four final states in the signal region (105 $ < m_{4\ell} < $ 160 GeV) are presented. The \textitnonfid contribution arises from signal events that do not originate within the fiducial volume but still satisfy the analysis selection criteria. The \textitnonres contribution corresponds to signal events from VH or t\=tH processes in which one of the leptons from the Higgs boson decay is either not reconstructed or fails the selection requirements (see Section 6 for details). The contributions from signal, \textitnonfid, and \textitnonres events are estimated assuming $ m_H = $ 125.38 GeV.

png pdf
Table 5:
Measured inclusive fiducial cross section and the corresponding uncertainties for different final states at $ m_{\mathrm{H}}= $ 125.38 GeV.
Summary
This paper presents a detailed characterization of the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ decay channel through measurements of fiducial differential cross sections as functions of several kinematic observables. The production of the H boson is studied via differential cross sections in bins of $ p_{\mathrm{T}}^\mathrm{H} $ and $ |y_\mathrm{H}| $, number of associated jets, the transverse momentum of the leading and subleading jets, and observables of the dijet system in events with associated jets. The evolution of the renormalization and factorization scales, as well as resummation effects, is probed by measuring cross sections in bins of the H plus jets system. Fiducial cross sections are measured in bins of the seven kinematic observables that fully describe the four-lepton decay: the invariant mass of the two Z bosons and the five angles that characterize the kinematics of the final-state fermions and the relative orientation of the production and decay planes. An extensive set of double-differential measurements provides a comprehensive coverage of the explored phase space. The inclusive fiducial cross section for $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ is $ \sigma_\mathrm{fid} = $ 3.11 $ ^{+0.23}_{-0.22} $ (stat) $^{+0.14}_{-0.11}$ (syst) fb, consistent with the standard model expectation of 3.05 $ ^{+0.17}_{-0.22} $ fb. All results are found to be in agreement with standard model predictions for the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ decay channel in the considered fiducial phase space.
References
1 ATLAS Collaboration Observation of a new particle in the search for the standard model Higgs boson with the ATLAS detector at the LHC PLB 716 (2012) 1 1207.7214
2 CMS Collaboration Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC PLB 716 (2012) 30 CMS-HIG-12-028
1207.7235
3 CMS Collaboration Observation of a new boson with mass near 125 GeV in pp collisions at $ \sqrt{s} = $ 7 and 8 TeV JHEP 06 (2013) 081 CMS-HIG-12-036
1303.4571
4 ATLAS Collaboration Measurements of the Higgs boson production and decay rates and coupling strengths using pp collision data at $ \sqrt{s}= $ 7 and 8 TeV in the ATLAS experiment EPJC 76 (2016) 6 1507.04548
5 CMS Collaboration Precise determination of the mass of the Higgs boson and tests of compatibility of its couplings with the standard model predictions using proton collisions at 7 and 8 $ \text {TeV} $ EPJC 75 (2015) 212 CMS-HIG-14-009
1412.8662
6 ATLAS and CMS Collaborations Combined measurement of the Higgs boson mass in pp collisions at $ \sqrt{s}= $ 7 and 8 TeV with the ATLAS and CMS experiments PRL 114 (2015) 191803 1503.07589
7 ATLAS and CMS Collaborations Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC pp collision data at $ \sqrt{s}= $ 7 and 8 TeV JHEP 08 (2016) 045 1606.02266
8 ATLAS Collaboration A detailed map of Higgs boson interactions by the ATLAS experiment ten years after the discovery Nature 607 (2022) 52 2207.00092
9 CMS Collaboration A portrait of the Higgs boson by the CMS experiment ten years after the discovery. Nature 607 (2022) 60 CMS-HIG-22-001
2207.00043
10 ATLAS Collaboration Measurements of Higgs boson production and couplings in the four-lepton channel in pp collisions at center-of-mass energies of 7 and 8 TeV with the ATLAS detector PRD 91 (2015) 012006 1408.5191
11 CMS Collaboration Measurement of the properties of a Higgs boson in the four-lepton final state PRD 89 (2014) 092007 CMS-HIG-13-002
1312.5353
12 CMS Collaboration Study of the mass and spin-parity of the Higgs boson candidate via its decays to $ Z $ boson pairs PRL 110 (2013) 081803 CMS-HIG-12-041
1212.6639
13 CMS Collaboration Constraints on the spin-parity and anomalous HVV couplings of the Higgs boson in proton collisions at 7 and 8 TeV PRD 92 (2015) 012004 CMS-HIG-14-018
1411.3441
14 CMS Collaboration Measurements of properties of the Higgs boson decaying into the four-lepton final state in pp collisions at $ \sqrt{s}= $ 13 TeV JHEP 11 (2017) 047 CMS-HIG-16-041
1706.09936
15 ATLAS Collaboration Measurement of the Higgs boson coupling properties in the $ H\rightarrow ZZ^{*} \rightarrow 4\ell $ decay channel at $ \sqrt{s} = $ 13 TeV with the ATLAS detector JHEP 03 (2018) 095 1712.02304
16 CMS Collaboration Measurement of the Higgs boson mass and width using the four-lepton final state in proton-proton collisions at $ \sqrt{s} = $ 13 TeV Submitted to PRD, 2024 CMS-HIG-21-019
2409.13663
17 CMS Collaboration Constraints on the Higgs boson width from off-shell production and decay to Z-boson pairs PLB 736 (2014) 64 CMS-HIG-14-002
1405.3455
18 CMS Collaboration Limits on the Higgs boson lifetime and width from its decay to four charged leptons PRD 92 (2015) 072010 CMS-HIG-14-036
1507.06656
19 ATLAS Collaboration Constraints on the off-shell Higgs boson signal strength in the high-mass $ ZZ $ and $ WW $ final states with the ATLAS detector EPJC 75 (2015) 335 1503.01060
20 ATLAS Collaboration Constraints on off-shell Higgs boson production and the Higgs boson total width in $ ZZ\to4\ell $ and $ ZZ\to2\ell2\nu $ final states with the ATLAS detector PLB 786 (2018) 223 1808.01191
21 ATLAS Collaboration Fiducial and differential cross sections of Higgs boson production measured in the four-lepton decay channel in pp collisions at $ \sqrt{s}= $ 8 TeV with the ATLAS detector PLB 738 (2014) 234 1408.3226
22 CMS Collaboration Measurement of differential and integrated fiducial cross sections for Higgs boson production in the four-lepton decay channel in pp collisions at $ \sqrt{s}= $ 7 and 8 TeV JHEP 04 (2016) 005 CMS-HIG-14-028
1512.08377
23 CMS Collaboration Measurements of inclusive and differential cross sections for the Higgs boson production and decay to four-leptons in proton-proton collisions at $ \sqrt{s} = $ 13 TeV JHEP 08 (2023) 040 CMS-HIG-21-009
2305.07532
24 ATLAS Collaboration Measurement of inclusive and differential cross sections in the $ H \rightarrow ZZ^* \rightarrow 4\ell $ decay channel in pp collisions at $ \sqrt{s}= $ 13 TeV with the ATLAS detector JHEP 10 (2017) 132 1708.02810
25 ATLAS Collaboration Higgs boson production cross-section measurements and their EFT interpretation in the 4 $ \ell $ decay channel at $ \sqrt{s}= $ 13 TeV with the ATLAS detector \hrefhttp://www.arXiv.org/abs/.03447v2\textttarXiv:.03447v2, 2020
EPJC 80 (2020) 957
26 ATLAS Collaboration Measurements of the Higgs boson inclusive and differential fiducial cross sections in the 4$ \ell $ decay channel at $ \sqrt{s}= $ 13 TeV \hrefhttp://www.arXiv.org/abs/arXiv:.03969v3\textttarXiv:arXiv:.03969v3, 2020
EPJC 80 (2020) 941
27 CMS Collaboration Constraints on anomalous Higgs boson couplings to vector bosons and fermions in its production and decay using the four-lepton final state PRD 104 (2021) 052004 CMS-HIG-19-009
2104.12152
28 ATLAS Collaboration Measurements of the Higgs boson inclusive and differential fiducial cross-sections in the diphoton decay channel with pp collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS detector JHEP 08 (2022) 027 2202.00487
29 CMS Collaboration Measurement of the Higgs boson inclusive and differential fiducial production cross sections in the diphoton decay channel with pp collisions at $ \sqrt{s} = $ 13 TeV JHEP 07 (2023) 091 CMS-HIG-19-016
2208.12279
30 ATLAS Collaboration Measurements of differential cross sections of Higgs boson production through gluon fusion in the $ H\rightarrow WW^{*}\rightarrow e\nu \mu \nu $ final state at $ \sqrt{s} = $ 13 TeV with the ATLAS detector EPJC 83 (2023) 774 2301.06822
31 ATLAS Collaboration Fiducial and differential cross-section measurements for the vector-boson-fusion production of the Higgs boson in the $ H \rightarrow WW^{\ast} \rightarrow e\nu\mu\nu $ decay channel at 13 $ \text{TeV} $ with the ATLAS detector PRD 108 (2023) 072003 2304.03053
32 CMS Collaboration Measurement of the inclusive and differential Higgs boson production cross sections in the leptonic WW decay mode at $ \sqrt{s} = $ 13 TeV JHEP 03 (2021) 003 CMS-HIG-19-002
2007.01984
33 CMS Collaboration Measurements of production cross sections of the Higgs boson in the four-lepton final state in proton-proton collisions at $ \sqrt{s} = 13 \text {Te}\text {V} $ EPJC 81 (2021) 488 CMS-HIG-19-001
2103.04956
34 CMS Collaboration Combination and interpretation of fiducial differential Higgs boson production cross sections at $ \sqrt{s}= $ 13 TeV CMS Physics Analysis Summary, to be submitted to JHEP, 2024
CMS-PAS-HIG-23-013
CMS-PAS-HIG-23-013
35 ATLAS Collaboration Constraints on Higgs boson production with large transverse momentum using H to bb decays in the ATLAS detector PRD 105 (2022) 092003 2111.08340
36 CMS Collaboration Inclusive search for highly boosted Higgs bosons decaying to bottom quark-antiquark pairs in proton-proton collisions at $ \sqrt{s} = $ 13 TeV JHEP 12 (2020) 085 CMS-HIG-19-003
2006.13251
37 CMS Collaboration Measurement of the inclusive and differential Higgs boson production cross sections in the decay mode to a pair of $ \tau $ leptons in pp collisions at $ \sqrt{s} = $ 13 TeV PRL 128 (2022) 081805 CMS-HIG-20-015
2107.11486
38 ATLAS Collaboration Measurement of the total and differential Higgs boson production cross-sections at $ \sqrt{s} = $ 13 TeV with the ATLAS detector by combining the $ H \rightarrow ZZ^* \rightarrow 4\ell $ and $ H \rightarrow \gamma \gamma $ decay channels JHEP 05 (2023) 028 2207.08615
39 ATLAS Collaboration Measurement of the $ H \rightarrow \gamma \gamma $ and $ H \rightarrow ZZ^* \rightarrow 4 \ell $ cross-sections in pp collisions at $ \sqrt{s}= $ 13.6 TeV with the ATLAS detector EPJC 84 (2024) 78 2306.11379
40 CMS Collaboration Measurements of the Higgs boson production cross section in the four-lepton final state in proton-proton collisions at $ \sqrt{s} = $ 13.6 TeV JHEP 05 (2025) 079 CMS-HIG-24-013
2501.14849
41 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004
42 CMS Collaboration Development of the CMS detector for the CERN LHC Run 3 JINST 19 (2024) P05064
43 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
44 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
45 CMS Collaboration Performance of the CMS high-level trigger during LHC Run 2 JINST 19 (2024) P11021 CMS-TRG-19-001
2410.17038
46 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
47 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
48 CMS Collaboration Description and performance of track and primary-vertex reconstruction with the CMS tracker JINST 9 (2014) P10009 CMS-TRK-11-001
1405.6569
49 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
50 CMS Collaboration Measurement of the offline integrated luminosity for the cms proton-proton collision dataset recorded in 2023 CMS Detector Performance Note CMS-DP-2024-068, 2024
CDS
51 CMS Collaboration Measurement of the integrated luminosity with the cms proton-proton dataset at sqrt(s) = 13.6 tev recorded in 2024 CMS Detector Performance Note CMS-DP-2026-003, 2026
CDS
52 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
53 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
54 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
55 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
56 E. Bagnaschi, G. Degrassi, P. Slavich, and A. Vicini Higgs production via gluon fusion in the POWHEG approach in the SM and in the MSSM JHEP 02 (2012) 088 1111.2854
57 P. Nason and C. Oleari NLO Higgs boson production via vector-boson fusion matched with shower in POWHEG JHEP 02 (2010) 037 0911.5299
58 G. Luisoni, P. Nason, C. Oleari, and F. Tramontano HW$ ^{\pm} $/HZ + 0 and 1 jet at NLO with the POWHEG BOX interfaced to GoSam and their merging within MiNLO JHEP 10 (2013) 083 1306.2542
59 H. B. Hartanto, B. Jager, L. Reina, and D. Wackeroth Higgs boson production in association with top quarks in the POWHEG BOX PRD 91 (2015) 094003 1501.04498
60 K. Hamilton, P. Nason, E. Re, and G. Zanderighi NNLOPS simulation of Higgs boson production JHEP 10 (2013) 222 1309.0017
61 Y. Gao et al. Spin determination of single-produced resonances at hadron colliders PRD 81 (2010) 075022 1001.3396
62 S. Bolognesi et al. On the spin and parity of a single-produced resonance at the LHC PRD 86 (2012) 095031 1208.4018
63 I. Anderson et al. Constraining anomalous $ HVV $ interactions at proton and lepton colliders PRD 89 (2014) 035007 1309.4819
64 A. V. Gritsan, R. Röntsch, M. Schulze, and M. Xiao Constraining anomalous Higgs boson couplings to the heavy flavor fermions using matrix element techniques PRD 94 (2016) 055023 1606.03107
65 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
66 NNPDF Collaboration Parton distributions for the LHC Run II JHEP 04 (2015) 040 1410.8849
67 C. Anastasiou et al. Higgs boson gluon-fusion production in QCD at three loops PRL 114 (2015) 212001 1503.06056
68 C. Anastasiou et al. High precision determination of the gluon fusion Higgs boson cross-section at the LHC JHEP 05 (2016) 058 1602.00695
69 M. Ciccolini, A. Denner, and S. Dittmaier Strong and electroweak corrections to the production of a Higgs boson+2 jets via weak interactions at the Large Hadron Collider PRL 99 (2007) 161803 0707.0381
70 M. Ciccolini, A. Denner, and S. Dittmaier Electroweak and QCD corrections to Higgs production via vector-boson fusion at the LHC PRD 77 (2008) 013002 0710.4749
71 P. Bolzoni, F. Maltoni, S.-O. Moch, and M. Zaro Higgs production via vector-boson fusion at NNLO in QCD PRL 105 (2010) 011801 1003.4451
72 P. Bolzoni, F. Maltoni, S.-O. Moch, and M. Zaro Vector boson fusion at next-to-next-to-leading order in QCD: Standard model Higgs boson and beyond PRD 85 (2012) 035002 1109.3717
73 O. Brein, A. Djouadi, and R. Harlander NNLO QCD corrections to the Higgs-strahlung processes at hadron colliders PLB 579 (2004) 149 hep-ph/0307206
74 M. L. Ciccolini, S. Dittmaier, and M. Kr ä mer Electroweak radiative corrections to associated $ WH $ and $ ZH $ production at hadron colliders PRD 68 (2003) 073003 hep-ph/0306234
75 W. Beenakker et al. Higgs radiation off top quarks at the Tevatron and the LHC PRL 87 (2001) 201805 hep-ph/0107081
76 W. Beenakker et al. NLO QCD corrections to $ {\mathrm{t}\overline{\mathrm{t}}} $ H production in hadron collisions. NPB 653 (2003) 151 hep-ph/0211352
77 S. Dawson, L. H. Orr, L. Reina, and D. Wackeroth Associated top quark Higgs boson production at the LHC PRD 67 (2003) 071503 hep-ph/0211438
78 S. Dawson et al. Associated Higgs production with top quarks at the Large Hadron Collider: NLO QCD corrections PRD 68 (2003) 034022 hep-ph/0305087
79 Z. Yu et al. QCD NLO and EW NLO corrections to $ t\bar{t}H $ production with top quark decays at hadron collider PLB 738 (2014) 1 1407.1110
80 S. S. Frixione et al. Weak corrections to Higgs hadroproduction in association with a top-quark pair JHEP 09 (2014) 065 1407.0823
81 F. Demartin, F. Maltoni, K. Mawatari, and M. Zaro Higgs production in association with a single top quark at the LHC EPJC 75 (2015) 267 1504.0611
82 F. Demartin et al. tWH associated production at the LHC EPJC 77 (2017) 34 1607.05862
83 A. Denner et al. Standard model Higgs-boson branching ratios with uncertainties EPJC 71 (2011) 1753 1107.5909
84 HDECAY Collaboration HDECAY: Twenty$ _{++} $ years after Comput. Phys. Commun. 238 (2019) 214 1801.09506
85 A. Bredenstein, A. Denner, S. Dittmaier, and M. M. Weber Precise predictions for the Higgs-boson decay H $ \rightarrow $ WW/ZZ $ \rightarrow $ 4 leptons PRD 74 (2006) 013004 hep-ph/0604011
86 A. Bredenstein, A. Denner, S. Dittmaier, and M. M. Weber Radiative corrections to the semileptonic and hadronic Higgs-boson decays H $ \rightarrow $WW/ZZ$ \rightarrow $ 4 fermions JHEP 02 (2007) 080 hep-ph/0611234
87 S. Boselli et al. Higgs boson decay into four leptons at NLOPS electroweak accuracy JHEP 06 (2015) 023 1503.07394
88 S. Actis, G. Passarino, C. Sturm, and S. Uccirati NNLO computational techniques: the cases $ H \to \gamma \gamma $ and $ H \to g g $ NPB 811 (2009) 182 0809.3667
89 LHC Higgs Cross Section Working Group Handbook of LHC Higgs Cross Sections: 4. Deciphering the Nature of the Higgs Sector technical report, 2016
link
1610.07922
90 A. Karlberg et al. Ad interim recommendations for the Higgs boson production cross sections at $ \sqrt{s} = $ 13.6 TeV 2402.09955
91 T. Melia, P. Nason, R. Rontsch, and G. Zanderighi W$ ^{+} $W$ ^{-} $, WZ and ZZ production in the POWHEG BOX JHEP 11 (2011) 078 1107.5051
92 J. M. Campbell and R. K. Ellis MCFM for the Tevatron and the LHC Nucl. Phys. Proc. Suppl. 20 (2010) 5--206 1007.3492
93 J. M. Campbell, R. K. Ellis, and C. Williams Vector boson pair production at the LHC JHEP 07 (2011) 018 1105.0020
94 J. M. Campbell, R. K. Ellis, and C. Williams Bounding the Higgs width at the LHC using full analytic results for $ \mathrm{g}\mathrm{g}\to \mathrm{e}^{-}\mathrm{e}^{+} \mu^{-} \mu^{+} $ JHEP 04 (2014) 060 1311.3589
95 J. M. Campbell and R. K. Ellis Higgs constraints from vector boson fusion and scattering JHEP 04 (2015) 030 1502.02990
96 M. Grazzini, S. Kallweit, and D. Rathlev ZZ production at the LHC: Fiducial cross sections and distributions in NNLO QCD PLB 750 (2015) 407 1507.06257
97 A. Bierweiler, T. Kasprzik, and J. H. K \"u hn Vector-boson pair production at the LHC to $ \mathcal{O}(\alpha^3) $ accuracy JHEP 12 (2013) 071 1305.5402
98 M. Bonvini et al. Signal-background interference effects in $ gg \to H \to WW $ beyond leading order PRD 88 (2013) 034032 1304.3053
99 K. Melnikov and M. Dowling Production of two Z-bosons in gluon fusion in the heavy top quark approximation PLB 744 (2015) 43 1503.01274
100 C. S. Li, H. T. Li, D. Y. Shao, and J. Wang Soft gluon resummation in the signal-background interference process of gg($ \rightarrow $ h$ ^{*} $) $ \rightarrow $ ZZ JHEP 08 (2015) 065 1504.02388
101 G. Passarino Higgs CAT EPJC 74 (2014) 2866 1312.2397
102 S. Catani and M. Grazzini An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC PRL 98 (2007) 222002 hep-ph/0703012
103 M. Grazzini NNLO predictions for the Higgs boson signal in the H $ \to $ WW $ \to\ell\nu\ell\nu $ and H$ \to $ ZZ $ \to4\ell $ decay channels JHEP 02 (2008) 043 0801.3232
104 M. Grazzini and H. Sargsyan Heavy-quark mass effects in Higgs boson production at the LHC JHEP 09 (2013) 129 1306.4581
105 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
106 T. Sjöstrand et al. An introduction to PYTHIA 8.2 Comput. Phys. Commun. 191 (2015) 159 1410.3012
107 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
108 \GEANTfour Collaboration GEANT 4: a simulation toolkit NIM A 506 (2003) 250
109 J. Allison et al. GEANT 4 developments and applications IEEE Trans. Nucl. Sci. 53 (2006) 270
110 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
111 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
112 CMS Collaboration Pileup mitigation at CMS in 13 TeV data JINST 15 (2020) P09018 CMS-JME-18-001
2003.00503
113 D. Bertolini, P. Harris, M. Low, and N. Tran Pileup per particle identification JHEP 10 (2014) 059 1407.6013
114 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
115 CMS Collaboration Measurement of the Inclusive $ W $ and $ Z $ Production Cross Sections in pp Collisions at $ \sqrt{s}= $ 7 TeV JHEP 10 (2011) 132 CMS-EWK-10-005
1107.4789
116 Particle Data Group Collaboration Review of particle physics PRD 110 (2024) 030001
117 S. Gangal, M. Stahlhofen, and F. J. Tackmann Rapidity-dependent jet vetoes Physical Review D 91 (2015)
118 CMS Collaboration A measurement of the Higgs boson mass in the diphoton decay channel PLB 805 (2020) 135425 CMS-HIG-19-004
2002.06398
119 J. E. Gaiser Charmonium Spectroscopy From Radiative Decays of the $ J/\psi $ and $ \psi^\prime $ Master's thesis, SLAC, 1982
120 M. Oreglia A Study of the Reactions $ \psi^\prime \to \gamma \gamma \psi $ Master's thesis, SLAC, 1980
121 T.~Skwarnicki A study of the radiative CASCADE transitions between the Upsilon-Prime and Upsilon resonances T. Skwarnicki, PhD thesis, Cracow, INP, 1986
122 CMS Collaboration The CMS Statistical Analysis and Combination Tool: Combine Comput. Softw. Big Sci. 8 (2024) 19 CMS-CAT-23-001
2404.06614
123 W. Verkerke and D. Kirkby The RooFit toolkit for data modeling in the International Conference on Computing in High Energy and Nuclear Physics (CHEP ): La Jolla CA, United States, March 24--28,.. [eConf C0303241 MOLT007], 2003
Proc. 1 (2003) 3
physics/0306116
124 L. Moneta et al. The RooStats project in the International Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT ): Jaipur, India, February 22--27,.. [PoS (ACAT) 057], 2010
Proc. 1 (2010) 3
1009.1003
Compact Muon Solenoid
LHC, CERN