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| CMS-HIG-17-025 ; CERN-EP-2018-166 | ||
| Measurement of inclusive and differential Higgs boson production cross sections in the diphoton decay channel in proton-proton collisions at $\sqrt{s}=$ 13 TeV | ||
| CMS Collaboration | ||
| 11 July 2018 | ||
| JHEP 01 (2019) 183 | ||
| Abstract: Measurements of the inclusive and differential production cross sections for the Higgs boson in the diphoton decay channel are performed using the data set of proton-proton collisions at $\sqrt{s} = $ 13 TeV collected by the CMS experiment at the LHC in 2016 and corresponding to an integrated luminosity of 35.9 fb$^{-1}$ . The cross sections are measured in a fiducial phase space defined by a set of requirements on the isolation and kinematic variables of the photons. Differential cross sections are measured as functions of the kinematic properties of the diphoton system and the event. A subset of the measurements is performed in subregions of the fiducial phase space, where relative contributions of specific Higgs boson production mechanisms are enhanced. The total cross section in the chosen fiducial phase space is measured to be 84 $\pm$ 11 (stat) $\pm$ 7 (syst) fb = 84 $\pm$ 13 fb, to be compared with a theoretical prediction of 73 $\pm$ 4 fb. All measurements are found to be in agreement with the theoretical predictions for the standard model Higgs boson with a mass of 125.09 GeV within the experimental and theoretical uncertainties. | ||
| Links: e-print arXiv:1807.03825 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; CADI line (restricted) ; | ||
| Figures | |
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Figure 1:
Comparison of the decorrelated mass resolution estimator ${\sigma _{m}/m |_\text {decorr}}$ distributions in data and simulation for ${{\mathrm {Z}}\to {\mathrm {e}^+} {\mathrm {e}^-}}$ events where both electrons are reconstructed as photons, passing the selection defined in Section 5. The impact of the systematic uncertainty in the $\sigma _E/E$ is indicated by the red band. The distributions are shown separately for events with both electrons in the EB (left) and the remainder of the events, i.e., events with at least one photon in the EE (right). Events in the shaded gray region are discarded from the final analysis. |
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Figure 1-a:
Comparison of the decorrelated mass resolution estimator ${\sigma _{m}/m |_\text {decorr}}$ distribution in data and simulation for ${{\mathrm {Z}}\to {\mathrm {e}^+} {\mathrm {e}^-}}$ events where both electrons are reconstructed as photons, passing the selection defined in Section 5. The impact of the systematic uncertainty in the $\sigma _E/E$ is indicated by the red band. The distribution is shown for events with both electrons in the EB. Events in the shaded gray region are discarded from the final analysis. |
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Figure 1-b:
Comparison of the decorrelated mass resolution estimator ${\sigma _{m}/m |_\text {decorr}}$ distribution in data and simulation for ${{\mathrm {Z}}\to {\mathrm {e}^+} {\mathrm {e}^-}}$ events where both electrons are reconstructed as photons, passing the selection defined in Section 5. The impact of the systematic uncertainty in the $\sigma _E/E$ is indicated by the red band. The distribution is shown for events with at least one photon in the EE. Events in the shaded gray region are discarded from the final analysis. |
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Figure 2:
The diphoton mass spectrum in data (black points), together with the best signal-plus-background fit (red lines), for each ${\sigma _{m}/m |_\text {decorr}}$ category employed for the measurement of the inclusive fiducial cross section, as defined in Section 7. The two bands indicate the one and two standard deviation uncertainty in the background component. |
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Figure 2-a:
The diphoton mass spectrum in data (black points), together with the best signal-plus-background fit (red lines), |
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Figure 2-b:
The diphoton mass spectrum in data (black points), together with the best signal-plus-background fit (red lines), |
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Figure 2-c:
The diphoton mass spectrum in data (black points), together with the best signal-plus-background fit (red lines), |
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Figure 3:
Likelihood scan (black curve) for the fiducial cross section measurement, where the value of the SM Higgs boson mass is profiled in the fit. The measurement is compared to the theoretical prediction (vertical red line), shown with its uncertainty (red hatched area), and it is found in agreement within the uncertainties. |
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Figure 4:
Measurement of the differential cross section (black points) as functions of $ {{p_{\mathrm {T}}} ^{\gamma \gamma}} $, $ {N_{\text {jet}}} $, $ {{| y^{\gamma \gamma} |}} $, and $ {{| \cos(\theta ^*) |}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. When the last bin of the distribution is an overflow bin, the normalization of the cross section in that bin is indicated in the figure. |
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Figure 4-a:
Measurement of the differential cross section (black points) as a function of $ {{p_{\mathrm {T}}} ^{\gamma \gamma}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. The normalization of the cross section in last, overflow bin is indicated in the figure. |
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Figure 4-b:
Measurement of the differential cross section (black points) as a function of $ {N_{\text {jet}}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. |
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Figure 4-c:
Measurement of the differential cross section (black points) as a function of $ {{| y^{\gamma \gamma} |}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. |
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Figure 4-d:
Measurement of the differential cross section (black points) as a function of $ {{| \cos(\theta ^*) |}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. |
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Figure 5:
Measurement of the differential cross section (black points) as functions of $ {{p_{\mathrm {T}}} ^{{j_{\text {1}}}}} $, $ {{| y^{{j_{\text {1}}}} |}} $, $ {{| \Delta \phi ^{\gamma \gamma, {j_{\text {1}}}} |}} $, and $ {{| \Delta y^{\gamma \gamma, {j_{\text {1}}}} |}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. When the last bin of the distribution is an overflow bin, the normalization of the cross section in that bin is indicated in the figure. |
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Figure 5-a:
Measurement of the differential cross section (black points) as a function of $ {{p_{\mathrm {T}}} ^{{j_{\text {1}}}}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. The normalization of the cross section in last, overflow bin is indicated in the figure. |
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Figure 5-b:
Measurement of the differential cross section (black points) as a function of $ {{| y^{{j_{\text {1}}}} |}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. |
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Figure 5-c:
Measurement of the differential cross section (black points) as a function of $ {{| \Delta \phi ^{\gamma \gamma, {j_{\text {1}}}} |}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. The normalization of the cross section in last, overflow bin is indicated in the figure. |
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Figure 5-d:
Measurement of the differential cross section (black points) as a function of $ {{| \Delta y^{\gamma \gamma, {j_{\text {1}}}} |}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. |
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Figure 6:
Measurement of the differential cross section (black points) as functions of $ {{p_{\mathrm {T}}} ^{{j_{\text {2}}}}} $, $ {{| y^{{j_{\text {2}}}} |}} $, $ {{| \Delta \phi ^{{j_{\text {1}}}, {j_{\text {2}}}} |}} $, and $ {{| \Delta \phi ^{\gamma \gamma, {j_{\text {1}}} {j_{\text {2}}}} |}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to two different simulation programs (histograms) with their uncertainties (hatched areas), both normalized to the same theoretical predictions from Ref. [13]. When the last bin of the distribution is an overflow bin, the normalization of the cross section in that bin is indicated in the figure. |
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Figure 6-a:
Measurement of the differential cross section (black points) as a function of $ {{p_{\mathrm {T}}} ^{{j_{\text {2}}}}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to two different simulation programs (histograms) with their uncertainties (hatched areas), both normalized to the same theoretical predictions from Ref. [13]. The normalization of the cross section in last, overflow bin is indicated in the figure. |
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Figure 6-b:
Measurement of the differential cross section (black points) as functions of $ {{p_{\mathrm {T}}} ^{{j_{\text {2}}}}} $, $ {{| y^{{j_{\text {2}}}} |}} $, $ {{| \Delta \phi ^{{j_{\text {1}}}, {j_{\text {2}}}} |}} $, and $ {{| \Delta \phi ^{\gamma \gamma, {j_{\text {1}}} {j_{\text {2}}}} |}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to two different simulation programs (histograms) with their uncertainties (hatched areas), both normalized to the same theoretical predictions from Ref. [13]. When the last bin of the distribution is an overflow bin, the normalization of the cross section in that bin is indicated in the figure. |
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Figure 6-c:
Measurement of the differential cross section (black points) as a function of $ {{| \Delta \phi ^{{j_{\text {1}}}, {j_{\text {2}}}} |}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to two different simulation programs (histograms) with their uncertainties (hatched areas), both normalized to the same theoretical predictions from Ref. [13]. |
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Figure 6-d:
Measurement of the differential cross section (black points) as a function of $ {{| \Delta \phi ^{\gamma \gamma, {j_{\text {1}}} {j_{\text {2}}}} |}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to two different simulation programs (histograms) with their uncertainties (hatched areas), both normalized to the same theoretical predictions from Ref. [13]. |
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Figure 7:
Measurement of the differential cross section (black points) as functions of $ {{| \overline {\eta}_{{j_{\text {1}}} {j_{\text {2}}}} - \eta _{\gamma \gamma} |}} $, $ {m^{{j_{\text {1}}} {j_{\text {2}}}}} $, and $ {{| \Delta \eta ^{{j_{\text {1}}}, {j_{\text {2}}}} |}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to two different simulation programs (histograms) with their uncertainties (hatched areas), both normalized to the same theoretical predictions from Ref. [13]. When the last bin of the distribution is an overflow bin, the normalization of the cross section in that bin is indicated in the figure. |
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Figure 7-a:
Measurement of the differential cross section (black points) as a function of $ {{| \overline {\eta}_{{j_{\text {1}}} {j_{\text {2}}}} - \eta _{\gamma \gamma} |}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to two different simulation programs (histograms) with their uncertainties (hatched areas), both normalized to the same theoretical predictions from Ref. [13]. |
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Figure 7-b:
Measurement of the differential cross section (black points) as a function of $ {m^{{j_{\text {1}}} {j_{\text {2}}}}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to two different simulation programs (histograms) with their uncertainties (hatched areas), both normalized to the same theoretical predictions from Ref. [13]. The normalization of the cross section in last, overflow bin is indicated in the figure. |
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Figure 7-c:
Measurement of the differential cross section (black points) as a function of $ {{| \Delta \eta ^{{j_{\text {1}}}, {j_{\text {2}}}} |}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to two different simulation programs (histograms) with their uncertainties (hatched areas), both normalized to the same theoretical predictions from Ref. [13]. The normalization of the cross section in last, overflow bin is indicated in the figure. |
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Figure 8:
Measurement in a VBF-enriched sub-region of the fiducial phase space of the differential cross section (black points) as functions of $ {{p_{\mathrm {T}}} ^{{j_{\text {2}}}}} $, $ {{| \Delta \phi ^{{j_{\text {1}}}, {j_{\text {2}}}} |}} $, and $ {{| \Delta \phi ^{\gamma \gamma, {j_{\text {1}}} {j_{\text {2}}}} |}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to two different simulation programs (histograms) with their uncertainties (hatched areas), both normalized to the same theoretical predictions from Ref. [13]. When the last bin of the distribution is an overflow bin, the normalization of the cross section in that bin is indicated in the figure. |
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Figure 8-a:
Measurement in a VBF-enriched sub-region of the fiducial phase space of the differential cross section (black points) as a function of $ {{p_{\mathrm {T}}} ^{{j_{\text {2}}}}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to two different simulation programs (histograms) with their uncertainties (hatched areas), both normalized to the same theoretical predictions from Ref. [13]. The normalization of the cross section in last, overflow bin is indicated in the figure. |
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Figure 8-b:
Measurement in a VBF-enriched sub-region of the fiducial phase space of the differential cross section (black points) as a function of $ {{| \Delta \phi ^{{j_{\text {1}}}, {j_{\text {2}}}} |}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to two different simulation programs (histograms) with their uncertainties (hatched areas), both normalized to the same theoretical predictions from Ref. [13]. |
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Figure 8-c:
Measurement in a VBF-enriched sub-region of the fiducial phase space of the differential cross section (black points) as a function of $ {{| \Delta \phi ^{\gamma \gamma, {j_{\text {1}}} {j_{\text {2}}}} |}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to two different simulation programs (histograms) with their uncertainties (hatched areas), both normalized to the same theoretical predictions from Ref. [13]. |
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Figure 9:
Measurement of the differential cross section (black points) as function of $ {{p_{\mathrm {T}}} ^{\gamma \gamma}} $ and $ {N_{\text {jet}}} $ simultaneously. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. The normalization of the cross section in last, overflow bin is indicated in the figure. |
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Figure 9-a:
Measurement of the differential cross section (black points) as function of $ {{p_{\mathrm {T}}} ^{\gamma \gamma}} $ for $ {N_{\text {jet}}} = $ 0. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. The normalization of the cross section in last, overflow bin is indicated in the figure. |
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Figure 9-b:
Measurement of the differential cross section (black points) as function of $ {{p_{\mathrm {T}}} ^{\gamma \gamma}} $ for $ {N_{\text {jet}}} = $ 1. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. The normalization of the cross section in last, overflow bin is indicated in the figure. |
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Figure 9-c:
Measurement of the differential cross section (black points) as function of $ {{p_{\mathrm {T}}} ^{\gamma \gamma}} $ for $ {N_{\text {jet}}} > $ 1. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. The normalization of the cross section in last, overflow bin is indicated in the figure. |
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Figure 10:
Measurement of the differential cross section (black points) as functions of $ {{p_{\mathrm {T}}} ^\text {miss}} $, $ {N_{\text {jet}}^{{\mathrm {b}}}} $, and $ {N_{\text {lepton}}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. When the last bin of the distribution is an overflow bin, the normalization of the cross section in that bin is indicated in the figure. |
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Figure 10-a:
Measurement of the differential cross section (black points) as a function of $ {{p_{\mathrm {T}}} ^\text {miss}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. The normalization of the cross section in last, overflow bin is indicated in the figure. |
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Figure 10-b:
Measurement of the differential cross section (black points) as a function of $ {N_{\text {jet}}^{{\mathrm {b}}}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. |
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Figure 10-c:
Measurement of the differential cross section (black points) as a function of $ {N_{\text {lepton}}} $. The error bars indicate 1 standard deviation uncertainty. The systematic component of the uncertainty is shown by the blue band. The measurements are compared to different simulation programs (histograms) with their uncertainties (hatched areas), all normalized to the same theoretical predictions from Ref. [13]. |
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Figure 11:
The measurement of the differential cross section (black points) for different regions of the phase space, listed on the vertical axis. The black error bars indicate the 1 standard deviation uncertainty and its systematic component is shown by the blue band. The measurements are compared to the theoretical predictions (orange hatched area), normalized to the predictions from Ref. [13]. |
| Tables | |
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Table 1:
The differential observables studied with the corresponding bins chosen, grouped by the region of the fiducial phase space where the measurements are performed. |
| Summary |
|
Measurements of the inclusive and differential fiducial cross sections for production of the Higgs boson in the diphoton decay channel have been performed using an integrated luminosity of 35.9 fb$^{-1}$ of proton-proton collision data collected by the CMS experiment at a center-of-mass energy of 13 TeV. The measurements of the differential cross sections are reported as functions of a set of observables characterizing the diphoton system and particles produced in association with the Higgs boson. The measurements are performed for isolated photons in the fiducial region defined by requiring that both photons are isolated and within the pseudorapidity $|\eta^{\gamma}| < $ 2.5 and ${p_{\mathrm{T}}}/m_{\gamma\gamma} > $ 1/3 (1/4) for the leading (subleading) photon. In this fiducial region, the cross section is measured to be 84 $\pm$ 13 fb, compared with a theoretical prediction of 73 $\pm$ 4 fb. The double-differential measurement is performed as a function of the transverse momentum of the diphoton system and the jet multiplicity in the event. A subset of the differential observables describing the kinematics of the system of two additional jets is studied in a vector-boson-fusion enriched fiducial phase space. The inclusive cross section is also measured in three subregions of the fiducial phase space, additionally requiring the presence of one selected lepton and missing transverse momentum ${p_{\mathrm{T}}^{\text{miss}}} < $ 100 GeV, or one selected lepton and ${p_{\mathrm{T}}^{\text{miss}}}\geq$ 100 GeV, or at least one selected lepton and at least one b-tagged jet, respectively. The measurements are in agreement within the uncertainties with the predictions for the production of a standard model Higgs boson. |
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