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CMS-PAS-SMP-19-002
Measurement of the inclusive W$\gamma$ production cross section in proton-proton collisions at $\sqrt{s} = $ 13 TeV and constraints on effective field theory coefficients
Abstract: The cross section of inclusive W$\gamma$ production in proton-proton collisions at a center-of-mass energy of 13 TeV has been measured based on 137.1 fb$^{-1}$ of data collected using the CMS experiment at the LHC. Both the electron and the muon decay modes of the W boson are considered by performing a maximum likelihood fit to the lepton-photon mass distribution. The measured cross section is compared to theoretical predictions made at next-to-leading order in quantum chromodynamics. In addition, 95% confidence level limits on anomalous triple gauge couplings are reported within the framework of effective field theory.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Representative Feynman diagram for ${\mathrm{p}} {\mathrm{p}} \to \ell ^+\nu _{\ell}\gamma $ production with a TGC vertex.

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Figure 2:
Distributions of the invariant mass of the lepton-photon system in the muon channel (left) and electron channel (right). The electron-induced photon estimate is scaled by a factor of 1.8 in the plot of $m_{\ell \gamma}$. The uncertainty in the expected yield is the sum of the systematic uncertainties added in quadrature. W$\gamma $ refers to the MadGraph-5_aMC@NLO simulation of W$\gamma $.

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Figure 2-a:
Distribution of the invariant mass of the lepton-photon system in the muon channel. The electron-induced photon estimate is scaled by a factor of 1.8 in the plot of $m_{\ell \gamma}$. The uncertainty in the expected yield is the sum of the systematic uncertainties added in quadrature. W$\gamma $ refers to the MadGraph-5_aMC@NLO simulation of W$\gamma $.

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Figure 2-b:
Distribution of the invariant mass of the lepton-photon system in the electron channel. The electron-induced photon estimate is scaled by a factor of 1.8 in the plot of $m_{\ell \gamma}$. The uncertainty in the expected yield is the sum of the systematic uncertainties added in quadrature. W$\gamma $ refers to the MadGraph-5_aMC@NLO simulation of W$\gamma $.

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Figure 3:
The photon $ {p_{\mathrm {T}}} $ distribution used for the extraction of limits on dimension-six EFT operators. The last bin includes overflow.
Tables

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Table 1:
Expected and observed number of events. The electron-induced photon estimate is scaled by a factor of $1.8$. The uncertainty is the sum of the systematic uncertainties added in quadrature. W$\gamma $ refers to the MadGraph-5_aMC@NLO simulation of W$\gamma $.

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Table 2:
Observed and expected 95% confidence level limits on five dimension-six operator coefficients. The units of the limits are TeV$^{-2}$.
Summary
In conclusion, the inclusive cross section for $\mathrm{ pp \to W \gamma }$ production has been measured for the first time at a center-of-mass energy of 13 TeV and with a precision of 4.7%. The measured cross section is $\sigma = $ 15.58 $\pm$ 0.75 pb $=$ 15.58 $\pm$ 0.05 (stat) $\pm$ 0.73 (exp) $\pm$ 0.15 (theory) pb, which is consistent with the MadGraph-5_aMC@NLO in QCD prediction of $\sigma = $ 15.4 $\pm$ 1.2 (scale) $\pm$ 0.1 (PDF) pb and below the POWHEG NLO in QCD with NLO competition prediction of $\sigma = $ 22.4 $\pm$ 3.2 (scale) $\pm$ 0.1 (PDF) pb. The cross sections separately measured in the electron channel and the muon channel are consistent with each other. The high photon $p_{\mathrm{T}}$ part of the photon $p_{\mathrm{T}}$ distribution was used to set 95% confidence level limits on dimension-six EFT parameters, including the most stringent limit to date on the coefficient of the lowest dimension CP-even operator that directly alters the WW$\gamma$ TGC.
References
1 Y. Cui, T. Gherghetta, and J. D. Wells Emergent electroweak symmetry breaking with composite W, Z bosons JHEP 11 (2009) 80 0907.0906
2 C. Degrande et al. Effective field theory: A modern approach to anomalous couplings Annals of Physics 335 (2013) 21 1205.4231
3 CMS Collaboration Measurement of the W$\gamma $ and Z$\gamma $ inclusive cross sections in pp collisions at $ \sqrt{s} = $ 7 TeV and limits on anomalous triple gauge boson couplings PRD 89 (2014) 092005 CMS-EWK-11-009
1308.6832
4 ATLAS Collaboration Measurements of W$\gamma $ and Z$\gamma $ production in pp collisions at $ \sqrt{s} = $ 7 TeV with the ATLAS detector at the LHC PRD 87 (2013) 112003 1205.2531
5 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
6 CMS Collaboration Performance of electron reconstruction and selection with the CMS detector in proton-proton collisions at $ \sqrt{s} = $ 8 TeV JINST 10 (2015) P06005 CMS-EGM-13-001
1502.02701
7 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
8 CMS Collaboration Performance of the CMS muon detector and muon reconstruction with proton-proton collisions at $ \sqrt{s} = $ 13 TeV JINST 13 (2018) P06015 CMS-MUO-16-001
1804.04528
9 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
10 CMS Collaboration Performance of missing transverse momentum reconstruction in proton-proton collisions at $ \sqrt{s} = $ 13 TeV using the CMS detector Journal of Instrumentation 14 (2019) P07004 CMS-JME-17-001
1903.06078
11 D. Bertolini, P. Harris, M. Low, and N. Tran Pileup per particle identification JHEP 10 (2014) 059 1407.6013
12 M. Grazzini, S. Kallweit, and M. Wiesemann Fully differential NNLO computations with MATRIX The European Physical Journal C 78 (2018) 537 1711.06631
13 M. Grazzini, S. Kallweit, and D. Rathlev W$\gamma $ and Z$\gamma $ production at the LHC in NNLO QCD JHEP 07 (2015) 085 1504.01330
14 E. Accomando, A. Denner, and S. Pozzorini Electroweak-correction effects in gauge-boson pair production at the CERN LHC PRD 65 (2002) 073003 hep-ph/0110114
15 A. Denner, S. Dittmaier, M. Hecht, and C. Pasold NLO QCD and electroweak corrections to W$ {+}\gamma $ production with leptonic W-boson decays JHEP 04 (2015) 018 1412.7421
16 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
17 R. Frederix and S. Frixione Merging meets matching in MC@NLO JHEP 12 (2012) 061 1209.6215
18 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
19 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
20 S. Alioli, P. Nason, C. Oleari, and E. Re A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX JHEP 06 (2010) 043 1002.2581
21 L. Barzè et al. W$\gamma $ production in hadronic collisions using the POWHEG+MiNLO method JHEP 12 (2014) 039 1408.5766
22 T. Sjostrand et al. An Introduction to PYTHIA 8.2 CPC 191 (2015) 159 1410.3012
23 S. Agostinelli et al. GEANT4--a simulation toolkit NIMA 506 (2003) 250
24 CMS Collaboration Event generator tunes obtained from underlying event and multiparton scattering measurements EPJC 76 (2016) 155 CMS-GEN-14-001
1512.00815
25 R. D. Ball et al. Parton distributions for the LHC run II JHEP 04 (2015) 040 1410.8849
26 CMS Collaboration Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements EPJC 80 (2020) 4 CMS-GEN-17-001
1903.12179
27 NNPDF Collaboration Parton distributions from high-precision collider data EPJC 77 (2017) 663 1706.00428
28 CMS Collaboration The CMS trigger system Journal of Instrumentation 12 (2017) P01020 CMS-TRG-12-001
1609.02366
29 CMS Collaboration Measurement of the cross section for electroweak production of a Z boson, a photon and two jets in proton-proton collisions at $ \sqrt{s} = $ 13 TeV and constraints on anomalous quartic couplings JHEP 06 (2020) 076 CMS-SMP-18-007
2002.09902
30 M. Abadi et al. TensorFlow: Large-scale machine learning on heterogeneous systems 2015 Software available from tensorflow.org. \url https://www.tensorflow.org/
31 CMS Collaboration Measurement of the W boson rapidity, helicity, and differential cross sections in pp collisions at $\sqrt{s}=$ 13 TeV Accepted by PRD CMS-SMP-18-012
2008.04174
32 J. Butterworth et al. PDF4LHC recommendations for LHC Run II Journal of Physics G: Nuclear and Particle Physics 43 (2016) 023001 1510.03865
33 L. A. Harland-Lang, A. D. Martin, P. Motylinski, and R. S. Thorne Parton distributions in the LHC era: MMHT 2014 PDFs The European Physical Journal C 75 (2015) 204 1412.3989
34 S. Dulat et al. New parton distribution functions from a global analysis of quantum chromodynamics PRD 93 (2016) 033006 1506.07443
35 O. Mattelaer On the maximal use of Monte Carlo samples: re-weighting events at NLO accuracy The European Physical Journal C 76 (2016) 674 1607.00763
36 The ATLAS Collaboration, The CMS Collaboration, The LHC Higgs Combination Group Collaboration Procedure for the LHC Higgs boson search combination in Summer 2011 CMS-NOTE-2011-005
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