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CMS-PAS-HIG-17-015
Measurement of differential fiducial cross sections for Higgs boson production in the diphoton decay channel in pp collisions at $\sqrt{s}= $ 13 TeV
Abstract: A measurement of the integrated and differential fiducial production cross sections for the Higgs boson in the diphoton decay channel at $\sqrt{s}= $ 13 TeV is performed using 35.9 fb$^{-1}$ of pp collisions data collected by the CMS experiment at the CERN LHC. Differential cross sections are measured as a function of the diphoton transverse momentum and jet multiplicity. All cross sections are measured within a fiducial phase space defined by the requirements on the photons kinematics, their isolation, and the event topology. The measured cross sections are compared to state of the art theoretical predictions for the Standard Model Higgs bosons. A good agreement between observations and predictions is observed.
Figures Summary Additional Figures References CMS Publications
Figures

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Figure 1:
Data-simulation comparison for the decorrelated mass resolution estimator $\sigma _{\mathrm {m}}/\mathrm {m} | _\text {decorr} $, along with the impact of the systematic uncertainty on the $\sigma _E/E$ (red band), for events with both photons in the ECAL barrel (left) and the remainder of the events. Events in region depicted in grey are discarded and not used in the final analysis.

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Figure 1-a:
Data-simulation comparison for the decorrelated mass resolution estimator $\sigma _{\mathrm {m}}/\mathrm {m} | _\text {decorr} $, along with the impact of the systematic uncertainty on the $\sigma _E/E$ (red band), for events with both photons in the ECAL barrel. Events in region depicted in grey are discarded and not used in the final analysis.

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Figure 1-b:
Data-simulation comparison for the decorrelated mass resolution estimator $\sigma _{\mathrm {m}}/\mathrm {m} | _\text {decorr} $, along with the impact of the systematic uncertainty on the $\sigma _E/E$ (red band), for the remainder of the events. Events in region depicted in grey are discarded and not used in the final analysis.

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Figure 2:
Diphoton mass spectrum weighted by the ratio S/(S + B) in each event class, together with the background subtracted weighted mass spectrum.

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Figure 3:
Likelihood scan (black curve) for the fiducial cross section where the value of the SM Higgs boson mass is profiled in the fit. The measurement is compared to the theoretical prediction (in red) and shows good agreement within uncertainties.

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Figure 4:
Measured ${\mathrm{ H } \to \gamma \gamma }$ differential cross-section (black points) for (a) $p_{T,\gamma \gamma }$, (b) $N_{jets}$. The measurements are compared to the theoretical predictions, combining the Higgs boson cross sections and branching fraction as in the LHC Higgs Cross Section Working Group [15] with two different generators for the gluon-gluon fusion process: MADGRAPH-aMC@NLO (in orange) and POWHEG (in green). The sum of the contributions from VBF, VH and ttH processes, labeled as HX, is generated using MADGRAPH-aMC@NLO and is shown in blue in the plot.

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Figure 4-a:
Measured ${\mathrm{ H } \to \gamma \gamma }$ differential cross-section (black points) for $p_{T,\gamma \gamma }$. The measurements are compared to the theoretical predictions, combining the Higgs boson cross sections and branching fraction as in the LHC Higgs Cross Section Working Group [15] with two different generators for the gluon-gluon fusion process: MADGRAPH-aMC@NLO (in orange) and POWHEG (in green). The sum of the contributions from VBF, VH and ttH processes, labeled as HX, is generated using MADGRAPH-aMC@NLO and is shown in blue in the plot.

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Figure 4-b:
Measured ${\mathrm{ H } \to \gamma \gamma }$ differential cross-section (black points) for $N_{jets}$. The measurements are compared to the theoretical predictions, combining the Higgs boson cross sections and branching fraction as in the LHC Higgs Cross Section Working Group [15] with two different generators for the gluon-gluon fusion process: MADGRAPH-aMC@NLO (in orange) and POWHEG (in green). The sum of the contributions from VBF, VH and ttH processes, labeled as HX, is generated using MADGRAPH-aMC@NLO and is shown in blue in the plot.
Summary
The measurement of the integrated and differential fiducial production cross sections for the Higgs boson in the diphoton decay channel has been performed using 34.5 fb$^{-1}$ of proton-proton collision data collected by the CMS experiment at $\sqrt{s}= $ 13 TeV. The measurement of the differential cross section are reported as a function of the Higgs boson transverse momentum and the jet multiplicity. The measurements are performed for isolated photons in the fiducial region defined requiring both photons within $|\eta^{\gamma}_{1,2}| < $ 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 $\hat{\sigma}_{\mathrm{fiducial}} = $ 84 $\pm$ 11 (stat) $\pm$ 7 (syst) fb = 84$^{+13}_{-12}$ (stat+syst) fb. The presented measurements are the most precise to date and show good agreement with the Standard Model predictions.
Additional Figures

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Additional Figure 1:
${p_{\mathrm {T}}}$ response matrices for ${\sigma _{\mathrm {m}}/\mathrm {m} |_\text {decorr}}$ categories 0, 1 and 2, in figure (a), (b) and (c), respectively. The sum of the values over the same columns in all categories gives the efficiency for a given generator-level bin.

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Additional Figure 1-a:
${p_{\mathrm {T}}}$ response matrix for ${\sigma _{\mathrm {m}}/\mathrm {m} |_\text {decorr}}$ category 0. The sum of the values over the same columns in all categories gives the efficiency for a given generator-level bin.

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Additional Figure 1-b:
${p_{\mathrm {T}}}$ response matrix for ${\sigma _{\mathrm {m}}/\mathrm {m} |_\text {decorr}}$ category 1. The sum of the values over the same columns in all categories gives the efficiency for a given generator-level bin.

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Additional Figure 1-c:
${p_{\mathrm {T}}}$ response matrix for ${\sigma _{\mathrm {m}}/\mathrm {m} |_\text {decorr}}$ category 2. The sum of the values over the same columns in all categories gives the efficiency for a given generator-level bin.

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Additional Figure 2:
N-jets response matrices for $ { \sigma _{\mathrm {m}}/\mathrm {m} |_\text {decorr}} $ categories 0, 1 and 2, in figure (a), (b) and (c), respectively. The sum of the values over the same columns in all categories gives the efficiency for a given generator-level bin.

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Additional Figure 2-a:
N-jets response matrix for $ { \sigma _{\mathrm {m}}/\mathrm {m} |_\text {decorr}} $ category 0. The sum of the values over the same columns in all categories gives the efficiency for a given generator-level bin.

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Additional Figure 2-b:
N-jets response matrix for $ { \sigma _{\mathrm {m}}/\mathrm {m} |_\text {decorr}} $ category 1. The sum of the values over the same columns in all categories gives the efficiency for a given generator-level bin.

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Additional Figure 2-c:
N-jets response matrix for $ { \sigma _{\mathrm {m}}/\mathrm {m} |_\text {decorr}} $ category 2. The sum of the values over the same columns in all categories gives the efficiency for a given generator-level bin.

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Additional Figure 3:
Distribution of the $\sigma _E/E$ in a) EB and b) EE for photons selected from $\mathrm{Z} \rightarrow \mu \mu \gamma $ events. Data (black points) are compared to simulation (green filled histogram). The distributions in simulation are normalized to the number of entries in data. The systematic uncertainty (red band) applied to the shape obtained from simulated events corresponds to a shift of $\sigma _E/E$ by $\pm$0.03. The bottom panel in each figure shows the data to simulation ratio together with the systematic uncertainty.

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Additional Figure 3-a:
Distribution of the $\sigma _E/E$ in EB for photons selected from $\mathrm{Z} \rightarrow \mu \mu \gamma $ events. Data (black points) are compared to simulation (green filled histogram). The distributions in simulation are normalized to the number of entries in data. The systematic uncertainty (red band) applied to the shape obtained from simulated events corresponds to a shift of $\sigma _E/E$ by $\pm$0.03. The bottom panel in each figure shows the data to simulation ratio together with the systematic uncertainty.

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Additional Figure 3-b:
Distribution of the $\sigma _E/E$ in EE for photons selected from $\mathrm{Z} \rightarrow \mu \mu \gamma $ events. Data (black points) are compared to simulation (green filled histogram). The distributions in simulation are normalized to the number of entries in data. The systematic uncertainty (red band) applied to the shape obtained from simulated events corresponds to a shift of $\sigma _E/E$ by $\pm$0.03. The bottom panel in each figure shows the data to simulation ratio together with the systematic uncertainty.

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Additional Figure 4:
Distribution of $ { \sigma _{\mathrm {m}}/\mathrm {m} |_\text {decorr}} $ in diphoton events passing the analysis preselection. Each of the stacked histograms corresponds to the categories of pseudorapidities and ${R_\mathrm {9}}$ where the photon energy resolution corrections are derived. The correspondence between categories and structures in the $ { \sigma _{\mathrm {m}}/\mathrm {m} |_\text {decorr}} $ shows how the correlation between the mass resolution and the pseudorapities of the photons is preserved.

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Additional Figure 5:
Events in the $ { \sigma _{\mathrm {m}}/\mathrm {m} |_\text {decorr}} $ classes 0, 1, 2 of the fiducial phase space measurement, respectively in figure (a), (b), (c), binned as a function of ${m_{\gamma \gamma }} $, together with the result of a fit of the signal-plus-background model.

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Additional Figure 5-a:
Events in the $ { \sigma _{\mathrm {m}}/\mathrm {m} |_\text {decorr}} $ class 0 of the fiducial phase space measurement, binned as a function of ${m_{\gamma \gamma }} $, together with the result of a fit of the signal-plus-background model.

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Additional Figure 5-b:
Events in the $ { \sigma _{\mathrm {m}}/\mathrm {m} |_\text {decorr}} $ class 1 of the fiducial phase space measurement, binned as a function of ${m_{\gamma \gamma }} $, together with the result of a fit of the signal-plus-background model.

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Additional Figure 5-c:
Events in the $ { \sigma _{\mathrm {m}}/\mathrm {m} |_\text {decorr}} $ class 2 of the fiducial phase space measurement, binned as a function of ${m_{\gamma \gamma }} $, together with the result of a fit of the signal-plus-background model.

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Additional Figure 6:
Matrices showing the correlation between signal strengths across bins of the differential cross section measurements, for the diphoton transverse momentum (a) and the jet multiplicity (b).

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Additional Figure 6-a:
Matrix showing the correlation between signal strengths across bins of the differential cross section measurements, for the diphoton transverse momentum.

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Additional Figure 6-b:
Matrix showing the correlation between signal strengths across bins of the differential cross section measurements, for the jet multiplicity.

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Additional Figure 7:
Higgs boson fiducial cross section measurements in the diphoton decay channel performed by the CMS collaboration as a function of the center of mass energy $\sqrt {s}$. In the definition of the fiducial phase space of the analysis performed at $\sqrt {s}= $ 8 (13) TeV, the maximum generator level total hadronic energy contained in a cone of radius $\Delta R= $ 0.4 (0.3) around each photon candidate is required to be less than 10 GeV. The fiducial phase space definition is otherwise the same between the two analyses. The detailed description of the measurement performed at $\sqrt {s}= $ 8 TeV can be found in EPJC (2016) 76.
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