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CMS-PAS-HIG-24-013
Measurements of Higgs boson production cross sections in the four-lepton final state at 13.6 TeV
Abstract: The first measurements of Higgs boson production cross-sections performed by the CMS Collaboration in the four-lepton final state at the increased center-of-mass energy of $ \sqrt{s} = $ 13.6 TeV are presented. This analysis relies on the data collected with the CMS detector at the CERN LHC in 2022, corresponding to an integrated luminosity of 34.7 fb$^{-1}$. Cross sections are measured in a fiducial region close to that of the detector acceptance, both inclusively and differentially, as a function of the transverse momentum and the rapidity of the four-lepton system. The $ \text{H}\to\text{ZZ}\to 4\ell $ inclusive fiducial cross section is measured to be 2.94 $ ^{+0.53}_{-0.49} $ (stat.) $ ^{+0.29}_{-0.22} $ (syst.) fb. The results are compared with the SM predictions and all results are found to be consistent with the SM expectations within uncertainties in the considered phase space.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Postfit reconstructed distribution of the $ m_{4\ell} $ invariant mass in the $ m_{4\ell} > $ 70 GeV mass range (left), and in the zoomed 105 $ < m_{4\ell} < $ 165 GeV mass range (right). The colored histograms depict the signal contribution (red histogram) and the background contributions. The black points with errors represent the data.

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Figure 1-a:
Postfit reconstructed distribution of the $ m_{4\ell} $ invariant mass in the $ m_{4\ell} > $ 70 GeV mass range (left), and in the zoomed 105 $ < m_{4\ell} < $ 165 GeV mass range (right). The colored histograms depict the signal contribution (red histogram) and the background contributions. The black points with errors represent the data.

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Figure 1-b:
Postfit reconstructed distribution of the $ m_{4\ell} $ invariant mass in the $ m_{4\ell} > $ 70 GeV mass range (left), and in the zoomed 105 $ < m_{4\ell} < $ 165 GeV mass range (right). The colored histograms depict the signal contribution (red histogram) and the background contributions. The black points with errors represent the data.

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Figure 2:
Measured inclusive fiducial $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ cross section in the various final states at 13.6 TeV. In the upper plot, the acceptance and theoretical uncertainties in the differential bins are calculated using the $ \mathrm{g}\mathrm{g}\to\mathrm{H} $ predictions from two different generators normalized to next-to-next-to-next-to-leading order (N$^{3}$LO). The subdominant component of the signal ($ \text{VBF} + \text{VH} + \mathrm{t}\bar{\mathrm{t}}\mathrm{H} $) is denoted as xH and is fixed to the SM prediction. The measured cross sections are compared with the $ \mathrm{g}\mathrm{g}\to\mathrm{H} $ predictions from POWHEG (blue) and NNLOPS (dark red). 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 the total uncertainty in each measurement, red boxes the systematic uncertainties. The lower panel displays the ratios of the measured cross sections and of the predictions from NNLOPS to the POWHEG theoretical predictions.

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Figure 3:
Measured inclusive fiducial $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ cross section as a function of the center-of-mass energy $ \sqrt{s} $.

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Figure 4:
Postfit reconstructed distributions of $p_{\mathrm{T}}(\mathrm{H})$ and $ | y (\mathrm{H}) | $. The colored histograms depict the signal contribution (red histogram) and the background contributions. The black points with errors represent the Data. The number of events in each bin is divided by the corresponding bin width.

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Figure 4-a:
Postfit reconstructed distributions of $p_{\mathrm{T}}(\mathrm{H})$ and $ | y (\mathrm{H}) | $. The colored histograms depict the signal contribution (red histogram) and the background contributions. The black points with errors represent the Data. The number of events in each bin is divided by the corresponding bin width.

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Figure 4-b:
Postfit reconstructed distributions of $p_{\mathrm{T}}(\mathrm{H})$ and $ | y (\mathrm{H}) | $. The colored histograms depict the signal contribution (red histogram) and the background contributions. The black points with errors represent the Data. The number of events in each bin is divided by the corresponding bin width.

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Figure 5:
Differential fiducial cross sections measured in the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ channel at 13.6 TeV as a function of $p_{\mathrm{T}}(\mathrm{H})$ (upper) and $ | y (\mathrm{H}) | $ (lower). The acceptance and theoretical uncertainties in the differential bins are calculated using the $ \mathrm{g}\mathrm{g}\to\mathrm{H} $ predictions from two different generators normalized to next-to-next-to-next-to-leading order (N$^{3}$LO). The subdominant component of the signal ($ \text{VBF} + \text{VH} + \mathrm{t}\bar{\mathrm{t}}\mathrm{H} $) is denoted as xH and is fixed to the SM prediction. The measured cross sections are compared with the $ \mathrm{g}\mathrm{g}\to\mathrm{H} $ predictions from POWHEG (blue) and NNLOPS (dark red). 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 the total uncertainty in each measurement, red boxes the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the predictions from NNLOPS to the POWHEG theoretical predictions.

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Figure 5-a:
Differential fiducial cross sections measured in the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ channel at 13.6 TeV as a function of $p_{\mathrm{T}}(\mathrm{H})$ (upper) and $ | y (\mathrm{H}) | $ (lower). The acceptance and theoretical uncertainties in the differential bins are calculated using the $ \mathrm{g}\mathrm{g}\to\mathrm{H} $ predictions from two different generators normalized to next-to-next-to-next-to-leading order (N$^{3}$LO). The subdominant component of the signal ($ \text{VBF} + \text{VH} + \mathrm{t}\bar{\mathrm{t}}\mathrm{H} $) is denoted as xH and is fixed to the SM prediction. The measured cross sections are compared with the $ \mathrm{g}\mathrm{g}\to\mathrm{H} $ predictions from POWHEG (blue) and NNLOPS (dark red). 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 the total uncertainty in each measurement, red boxes the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the predictions from NNLOPS to the POWHEG theoretical predictions.

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Figure 5-b:
Differential fiducial cross sections measured in the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ channel at 13.6 TeV as a function of $p_{\mathrm{T}}(\mathrm{H})$ (upper) and $ | y (\mathrm{H}) | $ (lower). The acceptance and theoretical uncertainties in the differential bins are calculated using the $ \mathrm{g}\mathrm{g}\to\mathrm{H} $ predictions from two different generators normalized to next-to-next-to-next-to-leading order (N$^{3}$LO). The subdominant component of the signal ($ \text{VBF} + \text{VH} + \mathrm{t}\bar{\mathrm{t}}\mathrm{H} $) is denoted as xH and is fixed to the SM prediction. The measured cross sections are compared with the $ \mathrm{g}\mathrm{g}\to\mathrm{H} $ predictions from POWHEG (blue) and NNLOPS (dark red). 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 the total uncertainty in each measurement, red boxes the systematic uncertainties. The lower panels display the ratios of the measured cross sections and of the predictions from NNLOPS to the POWHEG theoretical predictions.
Tables

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

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Table 2:
Summary of the inputs to the maximum likelihood based unfolding. The fraction of signal events within the fiducial phase space (acceptance $ \mathcal{A}_{\text{fid}} $), the reconstruction efficiency ($ \epsilon $) in the fiducial phase space, and the ratio of the number of reconstructed events outside the fiducial phase space to that of the ones inside the fiducial phase space ($ f_{\text{nonfid}} $) are quoted for each production mechanism for $ m_{\mathrm{H}}= $ 125.38 GeV. All values are shown with their statistical uncertainty.

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Table 3:
Post-fit yields with their corresponding post-fit uncertainties for the different final states in the signal region (105 $ < m_{4\ell} < $ 160 GeV) and for an integrated luminosity of 34.7 fb$^{-1}$. The nonfid contribution arises from signal events not originating from the fiducial volume but satisfying the analysis selection, while the nonres contribution contains signal events from VH or $ \mathrm{t}\bar{\mathrm{t}}\mathrm{H} $ where one of the leptons from the H boson decay is lost or not selected (more details in Section 6).

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Table 4:
The measured inclusive fiducial cross section and the corresponding uncertainties for different final states at $ m_{\mathrm{H}}= $ 125.38 GeV.
Summary
This note presents the first measurement of the differential fiducial cross section in the 4 $ \ell $ final state using the first Run 3 data collected with the CMS detector at the increased center-of-mass energy of $ \sqrt{s}= $ 13.6 TeV. The $ \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell $ inclusive fiducial cross section is measured to be 2.94 $ ^{+0.53}_{-0.49} $ (stat.) $ ^{+0.29}_{-0.22} $ (syst.) fb, in good agreement with the SM expectation of 3.09 $ ^{+0.27}_{-0.24} $ fb. The differential fiducial cross section is also measured in bins of the transverse momentum and absolute value of the rapidity of the H boson. The results are compared with the SM predictions and the theoretical uncertainties are evaluated. All results are found to be consistent with the SM expectations within uncertainties in the considered phase space.
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114 CMS Collaboration The CMS Statistical Analysis and Combination Tool: COMBINE CMS-CAT-23-001
2404.06614
Compact Muon Solenoid
LHC, CERN