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CMS-SMP-16-003 ; CERN-EP-2018-167
Measurement of differential cross sections for inclusive isolated-photon and photon+jets production in proton-proton collisions at $\sqrt{s} = $ 13 TeV
Eur. Phys. J. C 79 (2019) 20
Abstract: Measurements of inclusive isolated-photon and photon+jets production in proton-proton collisions at $\sqrt{s} = $ 13 TeV are presented. The analysis uses data collected by the CMS experiment in 2015, corresponding to an integrated luminosity of 2.26 fb$^{-1}$. The cross section for inclusive isolated-photon production is measured as a function of the photon transverse energy, for $E_{\mathrm{T}} > $ 190 GeV, and rapidity, for $| y | < $ 2.5. The cross section for photon+jets production is measured as a function of the photon transverse energy, for $E_{\mathrm{T}} > $ 190 GeV, the photon rapidity, for $| y | < $ 2.5, and the rapidity of the jet with highest transverse momentum, up to $| y | < $ 2.4. The experimental measurements are found to be in agreement with predictions from perturbative QCD.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Distributions of the BDT for background photons in the 200-220 GeV bin for the EB region. The points show events from a sideband region of the photon isolation selection criteria, the solid histogram shows the events in the signal region in simulated QCD multijet events, and the dashed histogram shows the sideband region for simulated QCD multijet events. All three samples have their statistical uncertainties shown as error bars.

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Figure 2:
Distributions of the BDT output for an EB (left) and an EE (right) bin with photon $ {E_{\mathrm {T}}} $ between 200-220 GeV and $ {| y^{\text {jet}} |} < $ 1.5. The points represent data, and the solid histograms, approaching the data points, represent the fit results with the signal (dashed) and background (dotted) components displayed. The bottom panels show the ratio of the difference between the data and the fit to the statistical uncertainty in the data, along with the resulting reduced $\chi ^2$ over degrees of freedom (dof).

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Figure 2-a:
Distribution of the BDT output for an EB bin with photon $ {E_{\mathrm {T}}} $ between 200-220 GeV and $ {| y^{\text {jet}} |} < $ 1.5. The points represent data, and the solid histograms, approaching the data points, represent the fit results with the signal (dashed) and background (dotted) components displayed. The bottom panel shows the ratio of the difference between the data and the fit to the statistical uncertainty in the data, along with the resulting reduced $\chi ^2$ over degrees of freedom (dof).

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Figure 2-b:
Distribution of the BDT output for an EE bin with photon $ {E_{\mathrm {T}}} $ between 200-220 GeV and $ {| y^{\text {jet}} |} < $ 1.5. The points represent data, and the solid histograms, approaching the data points, represent the fit results with the signal (dashed) and background (dotted) components displayed. The bottom panel shows the ratio of the difference between the data and the fit to the statistical uncertainty in the data, along with the resulting reduced $\chi ^2$ over degrees of freedom (dof).

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Figure 3:
Differential cross sections for isolated-photon production in photon rapidity bins, $ {| y^{\gamma} |} < $ 0.8, 0.8 $ < {| y^{\gamma} |} < $ 1.44, 1.57 $ < {| y^{\gamma} |} < $ 2.1, and 2.1 $ < {| y^{\gamma} |} < $ 2.5. The points show the measured values and their total uncertainties; the lines show the NLO JETPHOX predictions with the NNPDF3.0 PDF set.

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Figure 4:
The ratios of theoretical NLO predictions to data for the differential cross sections for isolated-photon production in four photon rapidity bins, $ {| y^{\gamma} |} < $ 0.8, 0.8 $ < {| y^{\gamma} |} < $ 1.44, 1.57 $ < {| y^{\gamma} |} < $ 2.1, and 2.1 $ < {| y^{\gamma} |} < $ 2.5, are shown. The error bars on data points represent the statistical uncertainty, while the hatched area shows the total experimental uncertainty. The errors on the ratio represent scale uncertainties, and the shaded regions represent the total theoretical uncertainties.

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Figure 4-a:
The ratio of theoretical NLO predictions to data for the differential cross sections for isolated-photon production, in photon rapidity bin $ {| y^{\gamma} |} < $ 0.8, is shown. The error bars on data points represent the statistical uncertainty, while the hatched area shows the total experimental uncertainty. The errors on the ratio represent scale uncertainties, and the shaded regions represent the total theoretical uncertainties.

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Figure 4-b:
The ratio of theoretical NLO predictions to data for the differential cross sections for isolated-photon production, in photon rapidity bin 0.8 $ < {| y^{\gamma} |} < $ 1.44, is shown. The error bars on data points represent the statistical uncertainty, while the hatched area shows the total experimental uncertainty. The errors on the ratio represent scale uncertainties, and the shaded regions represent the total theoretical uncertainties.

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Figure 4-c:
The ratio of theoretical NLO predictions to data for the differential cross sections for isolated-photon production, in photon rapidity bin 1.57 $ < {| y^{\gamma} |} < $ 2.1, is shown. The error bars on data points represent the statistical uncertainty, while the hatched area shows the total experimental uncertainty. The errors on the ratio represent scale uncertainties, and the shaded regions represent the total theoretical uncertainties.

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Figure 4-d:
The ratio of theoretical NLO predictions to data for the differential cross sections for isolated-photon production, in photon rapidity bin 2.1 $ < {| y^{\gamma} |} < $ 2.5, is shown. The error bars on data points represent the statistical uncertainty, while the hatched area shows the total experimental uncertainty. The errors on the ratio represent scale uncertainties, and the shaded regions represent the total theoretical uncertainties.

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Figure 5:
Differential cross sections for photon+jets production in two photon rapidity bins, $ {| y^{\gamma} |} < $ 1.44 and 1.57 $ < {| y^{\gamma} |} < $ 2.5, and two jet rapidity bins, $ {| y^{\text {jet}} |} < $ 1.5 and 1.5 $ < {| y^{\text {jet}} |} < $ 2.4. The points show the measured values with their total uncertainties, and the lines show the NLO JETPHOX predictions with the NNPDF3.0 PDF set.

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Figure 6:
The ratios of theoretical NLO prediction to data for the differential cross sections for photon+jets production in two photon rapidity ($ {| y^{\gamma} |} < $ 1.44 and 1.57 $ < {| y^{\gamma} |} < $ 2.5) and two jet rapidity ($ {| y^{\text {jet}} |} < $ 1.5 and 1.5 $ < {| y^{\text {jet}} |} < $ 2.4) bins, are shown. The error bars on the data points represent their statistical uncertainty, while the hatched area shows the total experimental uncertainty. The error bars on the ratios show the scale uncertainties, and the shaded area shows the total theoretical uncertainties.

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Figure 6-a:
The ratio of theoretical NLO prediction to data for the differential cross sections for photon+jets production in photon rapidity bin $ {| y^{\gamma} |} < $ 1.44 and jet rapidity bin $ {| y^{\text {jet}} |} < $ 1.5, are shown. The error bars on the data points represent their statistical uncertainty, while the hatched area shows the total experimental uncertainty. The error bars on the ratios show the scale uncertainties, and the shaded area shows the total theoretical uncertainties.

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Figure 6-b:
The ratio of theoretical NLO prediction to data for the differential cross sections for photon+jets production in photon rapidity bin $ {| y^{\gamma} |} < $ 1.44 and jet rapidity bin 1.5 $ < {| y^{\text {jet}} |} < $ 2.4, are shown. The error bars on the data points represent their statistical uncertainty, while the hatched area shows the total experimental uncertainty. The error bars on the ratios show the scale uncertainties, and the shaded area shows the total theoretical uncertainties.

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Figure 6-c:
The ratio of theoretical NLO prediction to data for the differential cross sections for photon+jets production in photon rapidity bin 1.57 $ < {| y^{\gamma} |} < $ 2.5 and jet rapidity bin $ {| y^{\text {jet}} |} < $ 1.5, are shown. The error bars on the data points represent their statistical uncertainty, while the hatched area shows the total experimental uncertainty. The error bars on the ratios show the scale uncertainties, and the shaded area shows the total theoretical uncertainties.

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Figure 6-d:
The ratio of theoretical NLO prediction to data for the differential cross sections for photon+jets production in photon rapidity bin 1.57 $ < {| y^{\gamma} |} < $ 2.5 and jet rapidity bin 1.5 $ < {| y^{\text {jet}} |} < $ 2.4, are shown. The error bars on the data points represent their statistical uncertainty, while the hatched area shows the total experimental uncertainty. The error bars on the ratios show the scale uncertainties, and the shaded area shows the total theoretical uncertainties.

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Figure 7:
Ratios of JETPHOX NLO predictions to data for various PDF sets as a function of photon $ {E_{\mathrm {T}}} $ for inclusive isolated-photons (top four panels) and photon+jets (four bottom panels). Data are shown as points, the error bars represent statistical uncertainties, while the hatched area represents the total experimental uncertainties. The theoretical uncertainty in the NNPDF3.0 prediction is shown as a shaded area.

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Figure 7-a:
Ratio of JETPHOX NLO predictions to data for various PDF sets as a function of photon $ {E_{\mathrm {T}}} $ for inclusive isolated-photons. Data are shown as points, the error bars represent statistical uncertainties, while the hatched area represents the total experimental uncertainties. The theoretical uncertainty in the NNPDF3.0 prediction is shown as a shaded area.

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Figure 7-b:
Ratio of JETPHOX NLO predictions to data for various PDF sets as a function of photon $ {E_{\mathrm {T}}} $ for inclusive isolated-photons. Data are shown as points, the error bars represent statistical uncertainties, while the hatched area represents the total experimental uncertainties. The theoretical uncertainty in the NNPDF3.0 prediction is shown as a shaded area.

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Figure 7-c:
Ratio of JETPHOX NLO predictions to data for various PDF sets as a function of photon $ {E_{\mathrm {T}}} $ for inclusive isolated-photons. Data are shown as points, the error bars represent statistical uncertainties, while the hatched area represents the total experimental uncertainties. The theoretical uncertainty in the NNPDF3.0 prediction is shown as a shaded area.

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Figure 7-d:
Ratio of JETPHOX NLO predictions to data for various PDF sets as a function of photon $ {E_{\mathrm {T}}} $ for inclusive isolated-photons. Data are shown as points, the error bars represent statistical uncertainties, while the hatched area represents the total experimental uncertainties. The theoretical uncertainty in the NNPDF3.0 prediction is shown as a shaded area.

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Figure 7-e:
Ratio of JETPHOX NLO predictions to data for various PDF sets as a function of photon $ {E_{\mathrm {T}}} $ for photon+jets. Data are shown as points, the error bars represent statistical uncertainties, while the hatched area represents the total experimental uncertainties. The theoretical uncertainty in the NNPDF3.0 prediction is shown as a shaded area.

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Figure 7-f:
Ratio of JETPHOX NLO predictions to data for various PDF sets as a function of photon $ {E_{\mathrm {T}}} $ for photon+jets. Data are shown as points, the error bars represent statistical uncertainties, while the hatched area represents the total experimental uncertainties. The theoretical uncertainty in the NNPDF3.0 prediction is shown as a shaded area.

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Figure 7-g:
Ratio of JETPHOX NLO predictions to data for various PDF sets as a function of photon $ {E_{\mathrm {T}}} $ for photon+jets. Data are shown as points, the error bars represent statistical uncertainties, while the hatched area represents the total experimental uncertainties. The theoretical uncertainty in the NNPDF3.0 prediction is shown as a shaded area.

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Figure 7-h:
Ratio of JETPHOX NLO predictions to data for various PDF sets as a function of photon $ {E_{\mathrm {T}}} $ for photon+jets. Data are shown as points, the error bars represent statistical uncertainties, while the hatched area represents the total experimental uncertainties. The theoretical uncertainty in the NNPDF3.0 prediction is shown as a shaded area.
Tables

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Table 1:
Impact on cross sections, in percent, for each systematic uncertainty source in the four photon rapidity regions, $ {| y^{\gamma} |} < $ 0.8, 0.8 $ < {| y^{\gamma} |} < $ 1.44, 1.57 $ < {| y^{\gamma} |} < $ 2.1, and 2.1 $ < {| y^{\gamma} |} < $ 2.5. The ranges, when quoted, indicate the variation over photon $ {E_{\mathrm {T}}} $ between 190-1000 GeV.

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Table 2:
Measured and predicted differential cross section for isolated-photon production, along with the statistical and systematical uncertainties in the various $ {E_{\mathrm {T}}} $ and $y$ bins. Predictions use JETPHOX at NLO with the NNPDF3.0 PDF set. The ratio of the JETPHOX predictions to data are listed in the last column, with the total uncertainty estimated assuming uncorrelated experimental and theoretical uncertainties.

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Table 3:
Measured and predicted differential cross section for photon+jets production, along with statistical and systematical uncertainties in the various $ {E_{\mathrm {T}}} $ and $y$ bins. Predictions are based on JETPHOX at NLO with the NNPDF3.0 PDF set. The ratio of the JETPHOX predictions to the data are listed in the last column, with the total uncertainty estimated assuming uncorrelated experimental and theoretical uncertainties.
Summary
The differential cross sections for inclusive isolated-photon and photon+jets production in proton-proton collisions at a center-of-mass energy of 13 TeV are measured with a data sample collected by the CMS experiment corresponding to an integrated luminosity of 2.26 fb$^{-1}$. The measurements of inclusive isolated-photon production cross sections are presented as functions of photon transverse energy and rapidity. The photon+jets production cross sections are presented as functions of photon transverse energy, and photon and jet rapidities.

The measurements are compared with theoretical predictions produced using the jetphox next-to-leading order calculations using different parton distribution functions. The theoretical predictions agree with the experimental measurements within the statistical and systematic uncertainties. For low to middle range in photon $ E_{\mathrm{T}} $, where the experimental uncertainties are smaller or comparable to theoretical uncertainties, these measurements provide the potential to further constrain the proton PDFs. The agreement between data and theory, and the new next-to-next-to-leading-order (NNLO) calculations [46] motivate the use of additional measurements to better estimate the gluon and other PDFs.
References
1 CMS Collaboration Measurement of the isolated prompt photon production cross section in pp collisions at $ \sqrt{s} = $ 7 ~TeV PRL 106 (2011) 082001 CMS-QCD-10-019
1012.0799
2 CMS Collaboration Measurement of the differential cross section for isolated prompt photon production in pp collisions at 7 TeV PRD 84 (2011) 052011 CMS-QCD-10-037
1108.2044
3 CMS Collaboration Measurement of isolated photon production in pp and PbPb collisions at $ \sqrt{s_{NN}}= $ 2.76 TeV PLB 710 (2012) 256 CMS-HIN-11-002
1201.3093
4 ATLAS Collaboration Measurement of the inclusive isolated prompt photons cross section in pp collisions at $ \sqrt{s}= $ 7 TeV with the ATLAS detector using 4.6 $ fb$^{-1} PRD 89 (2014) 052004 1311.1440
5 ATLAS Collaboration Measurement of the inclusive isolated prompt photon cross section in pp collisions at $ \sqrt{s}= $ 8 TeV with the ATLAS detector JHEP 08 (2016) 005 1605.03495
6 CMS Collaboration Measurement of the triple-differential cross section for photon+jets production in proton-proton collisions at $ \sqrt{s}= $ 7 TeV JHEP 06 (2014) 009 CMS-QCD-11-005
1311.6141
7 ATLAS Collaboration Measurement of the production cross section of an isolated photon associated with jets in proton-proton collisions at $ \sqrt{s}= $ 7 TeV with the ATLAS detector PRD 85 (2012) 092014 1203.3161
8 ATLAS Collaboration High-$ E_{\rm T} $ isolated-photon plus jets production in pp collisions at $ \sqrt s= $ 8 TeV with the ATLAS detector NPB 918 (2017) 257 1611.06586
9 ATLAS Collaboration Measurement of the cross section for inclusive isolated-photon production in pp collisions at $ \sqrt s= $ 13 TeV using the ATLAS detector PLB 770 (2017) 473 1701.06882
10 ATLAS Collaboration Measurement of the cross section for isolated-photon plus jet production in pp collisions at $ \sqrt s= $ 13 TeV using the ATLAS detector PLB 780 (2017) 578 1801.00112
11 P. Aurenche et al. A new critical study of photon production in hadronic collisions PRD 73 (2006) 094007 hep-ph/0602133
12 R. Ichou and D. d'Enterria Sensitivity of isolated photon production at TeV hadron colliders to the gluon distribution in the proton PRD 82 (2010) 014015 1005.4529
13 NNPDF Collaboration Parton distributions for the LHC Run II JHEP 04 (2015) 040 1410.8849
14 L. A. Harland-Lang, A. D. Martin, P. Motylinski, and R. S. Thorne Parton distributions in the LHC era: MMHT 2014 PDFs EPJC 75 (2015) 204 1412.3989
15 S. Dulat et al. New parton distribution functions from a global analysis of quantum chromodynamics PRD 93 (2016) 033006 1506.07443
16 W. Vogelsang and A. Vogt Constraints on the proton's gluon distribution from prompt photon production NPB 453 (1995) 334 hep-ph/9505404
17 D. d'Enterria and J. Rojo Quantitative constraints on the gluon distribution function in the proton from collider isolated-photon data NPB 860 (2012) 311 1202.1762
18 L. Carminati et al. Sensitivity of the LHC isolated-gamma+jet data to the parton distribution functions of the proton EPL 101 (2013) 61002 1212.5511
19 CMS Collaboration CMS luminosity measurement for the 2015 data-taking period CMS-PAS-LUM-15-001 CMS-PAS-LUM-15-001
20 H. Voss, A. Hocker, J. Stelzer, and F. Tegenfeldt TMVA, the toolkit for multivariate data analysis with ROOT in XIth International Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT), p. 40 2007 physics/0703039
21 CMS Collaboration The CMS Experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
22 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
23 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
24 CMS Collaboration Energy calibration and resolution of the CMS electromagnetic calorimeter in pp collisions at $ \sqrt{s} = $ 7 TeV JINST 8 (2013) P09009 CMS-EGM-11-001
1306.2016
25 CMS Collaboration Performance of photon reconstruction and identification with the CMS detector in proton-proton collisions at $ \sqrt{s} = $ 8 TeV JINST 10 (2015) P08010 CMS-EGM-14-001
1502.02702
26 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ {k_{\mathrm{T}}} $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
27 M. Cacciari, G. P. Salam, and G. Soyez FastJet user manual EPJC 72 (2012) 1896 1111.6097
28 CMS Collaboration Determination of jet energy calibration and transverse momentum resolution in CMS JINST 6 (2011) P11002 CMS-JME-10-011
1107.4277
29 T. Sjostrand et al. An Introduction to PYTHIA 8.2 CPC 191 (2015) 159 1410.3012
30 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
31 J. Alwall et al. Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions EPJC 53 (2008) 473 0706.2569
32 R. Frederix and S. Frixione Merging meets matching in MC@NLO JHEP 12 (2012) 061 1209.6215
33 CMS Collaboration Event generator tunes obtained from underlying event and multiparton scattering measurements EPJC 76 (2016) 155 CMS-GEN-14-001
1512.00815
34 NNPDF Collaboration Parton distributions with LHC data NPB 867 (2013) 244 1207.1303
35 GEANT4 Collaboration $ GEANT4--a $ simulation toolkit NIMA 506 (2003) 250
36 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
37 CMS Collaboration Performance of missing energy reconstruction in 13 TeV pp collision data using the CMS detector CMS-PAS-JME-16-004 CMS-PAS-JME-16-004
38 CMS Collaboration Jet algorithms performance in 13 TeV data CMS-PAS-JME-16-003 CMS-PAS-JME-16-003
39 G. D'Agostini A multidimensional unfolding method based on Bayes' theorem NIMA 362 (1995) 487
40 T. Adye Unfolding algorithms and tests using RooUnfold Proceedings, PHYSTAT 2011 Workshop on Statistical Issues Related to Discovery Claims in Search Experiments and Unfolding (2011) 313 1105.1160
41 ATLAS and CMS Collaborations, LHC Higgs Combination Group Procedure for the LHC Higgs boson search combination in summer 2011 CMS/ATLAS joint note ATL-PHYS-PUB-2011-11, CMS NOTE 2011/005
42 S. Catani, M. Fontannaz, J. P. Guillet, and E. Pilon Cross section of isolated prompt photons in hadron-hadron collisions JHEP 05 (2002) 028 hep-ph/0204023
43 Z. Belghobsi et al. Photon-jet correlations and constraints on fragmentation functions PRD 79 (2009) 114024 0903.4834
44 L. Bourhis, M. Fontannaz, and J. P. Guillet Quark and gluon fragmentation functions into photons EPJC 2 (1998) 529 hep-ph/9704447
45 H1 and ZEUS Collaborations Combination of measurements of inclusive deep inelastic $ {\mathrm{e}^{\pm}{\mathrm{p}}} $ scattering cross sections and QCD analysis of HERA data EPJC 75 (2015) 580 1506.06042
46 J. M. Campbell, R. K. Ellis, and C. Williams Direct photon production at next-to-next-to-leading order PRL 118 (2017) 222001 1612.04333
Compact Muon Solenoid
LHC, CERN