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CMS-HIG-24-013 ; CERN-EP-2024-336
Measurements of Higgs boson production cross section in the four-lepton final state in proton-proton collisions at s= 13.6 TeV
Submitted to J. High Energy Phys.
Abstract: The measurements of the Higgs boson (H) production cross sections performed by the CMS Collaboration in the four-lepton (4 ,=e,μ) final state at a center-of-mass energy s= 13.6 TeV are presented. These measurements are based on data collected with the CMS detector at the CERN LHC in 2022, corresponding to an integrated luminosity of 34.7 fb1. Cross sections are measured in a fiducial region closely matching the experimental acceptance, both inclusively and differentially, as a function of the transverse momentum and the absolute value of the rapidity of the four-lepton system. The HZZ4 inclusive fiducial cross section is measured to be 2.89 +0.530.49 (stat) +0.290.21 (syst) fb, in agreement with the standard model expectation of 3.09 +0.270.24 fb.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Distribution of the m4 invariant mass in the ranges 70-350 GeV (left), and 105-160 GeV (right). The black points with error bars represent the data. The colored histograms show the signal (red histogram) and the background contributions. The post-fit normalization for all the processes is obtained from the measurement performed in the range 105 <m4< 160 GeV and then ported to all other distributions and ranges by scaling it for the post-fit/pre-fit yield ratio. The bottom panels depict the ratio of the Data to the post-fit MC distribution.

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Figure 1-a:
Distribution of the m4 invariant mass in the ranges 70-350 GeV (left), and 105-160 GeV (right). The black points with error bars represent the data. The colored histograms show the signal (red histogram) and the background contributions. The post-fit normalization for all the processes is obtained from the measurement performed in the range 105 <m4< 160 GeV and then ported to all other distributions and ranges by scaling it for the post-fit/pre-fit yield ratio. The bottom panels depict the ratio of the Data to the post-fit MC distribution.

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Figure 1-b:
Distribution of the m4 invariant mass in the ranges 70-350 GeV (left), and 105-160 GeV (right). The black points with error bars represent the data. The colored histograms show the signal (red histogram) and the background contributions. The post-fit normalization for all the processes is obtained from the measurement performed in the range 105 <m4< 160 GeV and then ported to all other distributions and ranges by scaling it for the post-fit/pre-fit yield ratio. The bottom panels depict the ratio of the Data to the post-fit MC distribution.

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Figure 2:
Measured inclusive fiducial HZZ4 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 ggH predictions from two different generators normalized to next-to-NNLO order. The subdominant component of the signal (VBF+VH+t¯tH) is denoted as XH and is fixed to the SM prediction. The measured cross sections are compared with the ggH predictions from POWHEG (blue) and NNLOPS (dark red). The hatched areas correspond to the systematic uncertainties of the theoretical predictions. Black points represent the measured fiducial cross sections in each bin, black error bars the total uncertainty of each measurement, and red boxes the systematic uncertainties. The lower panel displays the ratio of the measured cross sections to the POWHEG predictions, as well as the ratio of the NNLOPS predictions to those from POWHEG.

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Figure 3:
Measured inclusive fiducial HZZ4 cross section as a function of the center-of-mass energy s. The acceptance is calculated using MINLOHJ [123] at s= 7 and 8 TeV and NNLOPS [55] at s= 13 TeV.

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Figure 4:
Distributions of pHT (left) and |yH| (right) for events with 105 <m4< 160 GeV. The black points with error bars represent the data. The colored histograms indicate the signal (red histogram) and the background contributions. The histograms are normalized to the post-fit yields reported in Table 2. The bottom panels depict the ratio of the Data to the post-fit MC distribution.

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Figure 4-a:
Distributions of pHT (left) and |yH| (right) for events with 105 <m4< 160 GeV. The black points with error bars represent the data. The colored histograms indicate the signal (red histogram) and the background contributions. The histograms are normalized to the post-fit yields reported in Table 2. The bottom panels depict the ratio of the Data to the post-fit MC distribution.

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Figure 4-b:
Distributions of pHT (left) and |yH| (right) for events with 105 <m4< 160 GeV. The black points with error bars represent the data. The colored histograms indicate the signal (red histogram) and the background contributions. The histograms are normalized to the post-fit yields reported in Table 2. The bottom panels depict the ratio of the Data to the post-fit MC distribution.

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Figure 5:
Differential fiducial cross sections measured in the HZZ4 channel at 13.6 TeV as a function of pHT (upper) and |yH| (lower). The acceptance and theoretical uncertainties in the differential bins are calculated using the ggH predictions from two different generators normalized to next-to-NNLO order. The subdominant component of the signal (VBF+VH+t¯tH) is denoted as XH and is fixed to the SM prediction. The measured cross sections are compared with the ggH predictions from POWHEG (blue) and NNLOPS (dark red). The hatched areas correspond to the systematic uncertainties of the theoretical predictions. The black points represent the measured fiducial cross sections in each bin, the black error bars the total uncertainties, and red boxes the systematic uncertainties. The fiducial cross section in the last bin of the upper plot is measured for events with pHT> 80 GeV and normalized to a bin width of 120 GeV. The lower panels display the ratio of the measured cross sections to the POWHEG predictions, as well as the ratio of the NNLOPS predictions to those from POWHEG. The p-value is used to assess the compatibility of the results with the theoretical predictions and it is found to be 0.2 and 0.95 for pHT and |yH|, respectively.

png pdf
Figure 5-a:
Differential fiducial cross sections measured in the HZZ4 channel at 13.6 TeV as a function of pHT (upper) and |yH| (lower). The acceptance and theoretical uncertainties in the differential bins are calculated using the ggH predictions from two different generators normalized to next-to-NNLO order. The subdominant component of the signal (VBF+VH+t¯tH) is denoted as XH and is fixed to the SM prediction. The measured cross sections are compared with the ggH predictions from POWHEG (blue) and NNLOPS (dark red). The hatched areas correspond to the systematic uncertainties of the theoretical predictions. The black points represent the measured fiducial cross sections in each bin, the black error bars the total uncertainties, and red boxes the systematic uncertainties. The fiducial cross section in the last bin of the upper plot is measured for events with pHT> 80 GeV and normalized to a bin width of 120 GeV. The lower panels display the ratio of the measured cross sections to the POWHEG predictions, as well as the ratio of the NNLOPS predictions to those from POWHEG. The p-value is used to assess the compatibility of the results with the theoretical predictions and it is found to be 0.2 and 0.95 for pHT and |yH|, respectively.

png pdf
Figure 5-b:
Differential fiducial cross sections measured in the HZZ4 channel at 13.6 TeV as a function of pHT (upper) and |yH| (lower). The acceptance and theoretical uncertainties in the differential bins are calculated using the ggH predictions from two different generators normalized to next-to-NNLO order. The subdominant component of the signal (VBF+VH+t¯tH) is denoted as XH and is fixed to the SM prediction. The measured cross sections are compared with the ggH predictions from POWHEG (blue) and NNLOPS (dark red). The hatched areas correspond to the systematic uncertainties of the theoretical predictions. The black points represent the measured fiducial cross sections in each bin, the black error bars the total uncertainties, and red boxes the systematic uncertainties. The fiducial cross section in the last bin of the upper plot is measured for events with pHT> 80 GeV and normalized to a bin width of 120 GeV. The lower panels display the ratio of the measured cross sections to the POWHEG predictions, as well as the ratio of the NNLOPS predictions to those from POWHEG. The p-value is used to assess the compatibility of the results with the theoretical predictions and it is found to be 0.2 and 0.95 for pHT and |yH|, respectively.
Tables

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Table 1:
Summary of requirements used in the definition of the fiducial phase space for the H4 cross section measurements.

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Table 2:
Post-fit yields for the four final states in the signal region (105 <m4< 160 GeV). 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 t¯tH where one of the leptons from the Higgs boson decay is lost or not selected (details in Section 6). The contributions of signal, nonfid, and nonres events are estimated assuming mH= 125.38 GeV.

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Table 3:
Measured fiducial cross sections in different final states for mH= 125.38 GeV.
Summary
This paper presents the measurement of the fiducial production cross section of the Higgs boson (H) in the 4 ( = e,\mu )finalstateusingthedatacollectedwiththeCMSdetectorin2022atacenterofmassenergyof \sqrt{s}= 13.6TeV.The \mathrm{H}\to\mathrm{Z}\mathrm{Z}\to4\ell inclusivefiducialcrosssectionismeasuredtobe2.89 ^{+0.53}_{-0.49} (stat)^{+0.29}_{-0.21}(syst)fb,inagreementwiththestandardmodelexpectationof3.09 ^{+0.27}_{-0.24} $ fb. The differential fiducial cross section is also measured in bins of transverse momentum and absolute value of the rapidity of the Higgs boson. All results are consistent with the standard model expectation.
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Compact Muon Solenoid
LHC, CERN