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CMS-PAS-SMP-24-019
Measurement of the photon-fusion production cross section of a pair of W bosons
Abstract: A measurement of the cross section of W boson pair production in photon fusion ($ \gamma\gamma\rightarrow\mathrm{WW} $) is presented, using an integrated luminosity of 138 fb$ ^{-1} $ of proton-proton collision data collected in 2016-2018 at a center-of-mass energy of $ \sqrt{s}= $ 13 TeV. Events are selected in the final state with one electron, one muon, and a low multiplicity of tracks associated with the electron-muon production vertex. The total cross section of the $ \gamma\gamma\rightarrow\mathrm{WW} $ production is measured to be 659$ ^{+82}_{-78} $ fb, and a fiducial cross section of 4.1 $ \pm $ 0.5 fb is measured in a phase space defined with selection criteria close to those of the analysis. In addition, constraints on dimension-8 operators from an effective field theory framework are set.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Normalized simulated $ N_\text{tracks} $ (left) and acoplanarity (right) distributions for photon- and quark-induced processes. The acoplanarity distribution is shown for events with $ N_\text{tracks}= $ 0. The VV$ \to2\ell2\nu $ process includes vector boson pair production with two leptons (electrons, muons, or $ \tau $ leptons) and two neutrinos in the final state.

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Figure 1-a:
Normalized simulated $ N_\text{tracks} $ (left) and acoplanarity (right) distributions for photon- and quark-induced processes. The acoplanarity distribution is shown for events with $ N_\text{tracks}= $ 0. The VV$ \to2\ell2\nu $ process includes vector boson pair production with two leptons (electrons, muons, or $ \tau $ leptons) and two neutrinos in the final state.

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Figure 1-b:
Normalized simulated $ N_\text{tracks} $ (left) and acoplanarity (right) distributions for photon- and quark-induced processes. The acoplanarity distribution is shown for events with $ N_\text{tracks}= $ 0. The VV$ \to2\ell2\nu $ process includes vector boson pair production with two leptons (electrons, muons, or $ \tau $ leptons) and two neutrinos in the final state.

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Figure 2:
Observed and predicted $ p_{\mathrm{T}}^{\mathrm{e}\mu} $ distributions for events with $ N_\text{tracks}= $ 0 (left) or 1 $ \leq N_\text{tracks}\leq $ 5, using the data from the full Run 2 data set. The distributions are shown after the maximum likelihood fit to the data ("postfit distributions"). The last bin includes the overflow.

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Figure 2-a:
Observed and predicted $ p_{\mathrm{T}}^{\mathrm{e}\mu} $ distributions for events with $ N_\text{tracks}= $ 0 (left) or 1 $ \leq N_\text{tracks}\leq $ 5, using the data from the full Run 2 data set. The distributions are shown after the maximum likelihood fit to the data ("postfit distributions"). The last bin includes the overflow.

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Figure 2-b:
Observed and predicted $ p_{\mathrm{T}}^{\mathrm{e}\mu} $ distributions for events with $ N_\text{tracks}= $ 0 (left) or 1 $ \leq N_\text{tracks}\leq $ 5, using the data from the full Run 2 data set. The distributions are shown after the maximum likelihood fit to the data ("postfit distributions"). The last bin includes the overflow.

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Figure 3:
Distributions of $ p_{\mathrm{T}}^{\mathrm{e}\mu} $ for the difference between the observed events and the backgrounds (black markers), SM prefit $ {\gamma\gamma\to\mathrm{W}\mathrm{W}} $ prediction (red line), and $ {\gamma\gamma\to\mathrm{W}\mathrm{W}} $ predictions for two benchmark points with nonzero EFT coefficients (blue and orange lines). The difference between the predictions for the SM and nonzero EFT coefficients is visible only in the overflow bin. The background uncertainty is shown with a gray band.

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Figure 4:
Summary of observed limits on $ f_\textrm{M} $ Wilson coefficients for this analysis and previous results by the CMS Collaboration. The limits are arranged from most sensitive to least sensitive in descending order, with the current result highlighted in red. In some cases, limits on the Wilson coefficients are shown under the assumption of unitarity bounds, as indicated in the right-most column.

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Figure 5:
Summary of observed limits on $ f_\textrm{T} $ Wilson coefficients for this analysis and previous results by the CMS Collaboration. The limits are arranged from most sensitive to least sensitive in descending order, with the current result highlighted in red. In some cases, limits on the Wilson coefficients are shown under the assumption of unitarity bounds, as indicated in the right-most column.
Tables

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Table 1:
Selection criteria in the $ \mathrm{e}\mu $ SR and CR, and in the $ \mu\mu $ final state. The $ p_{\mathrm{T}} $ and pseudorapidity ranges correspond to different sets of triggers in different data-taking periods. The leading (subleading) lepton in the $ \mathrm{e}\mu $ SR and CR must have $ p_{\mathrm{T}} > $ 24 (15) GeV.

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Table 2:
Systematic uncertainties and their relative effects in the inclusive cross section measurement. An uncertainty of 2% in the signal cross section is considered in the EFT interpretation.

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Table 3:
Selection criteria of the fiducial region. The two $ p_{\mathrm{T}} $ values for the electron and muon correspond to the requirements for the leading and subleading leptons.

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Table 4:
Observed and predicted event yields in the SR and CR. The signal and background yields are the result of the global fit including all sources of uncertainties.

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Table 5:
95% CL intervals on EFT operators varied one at a time while fixing the other ones to zero.
Summary
This note describes a measurement of the $ {\gamma\gamma\to\mathrm{W}\mathrm{W}} $ production cross section in proton-proton collisions at a center-of-mass energy of 13 TeV. The signal is selected in the $ \mathrm{e}\mu $ final state using exclusivity criteria related to the track multiplicity associated with the dilepton vertex. Using 138 fb$ ^{-1} $ of proton-proton data collected by the CMS detector during the Run 2 of the LHC, the inclusive cross section of the $ {\gamma\gamma\to\mathrm{W}\mathrm{W}} $ process is measured to be 659$ ^{+82}_{-78} $ fb, and the fiducial cross section is 4.1 $ \pm $ 0.5 fb in a phase space close to that of the analysis. Stringent constraints are also set on dimension-8 operators in an effective field theory approach.
References
1 CMS Collaboration Observation of $ \gamma\gamma\to\tau\tau $ in proton-proton collisions and limits on the anomalous electromagnetic moments of the $ \tau $ lepton Rept. Prog. Phys. 87 (2024) 107801 CMS-SMP-23-005
2406.03975
2 CMS Collaboration Exclusive photon-photon production of muon pairs in proton-proton collisions at $ \sqrt{s}= $ 7 TeV JHEP 01 (2012) 052 CMS-FWD-10-005
1111.5536
3 CMS Collaboration Study of exclusive two-photon production of $ W^+W^- $ in $ pp $ collisions at $ \sqrt{s} = $ 7 TeV and constraints on anomalous quartic gauge couplings JHEP 07 (2013) 116 CMS-FSQ-12-010
1305.5596
4 CMS Collaboration Evidence for exclusive $ \gamma\gamma \to W^+ W^- $ production and constraints on anomalous quartic gauge couplings in $ pp $ collisions at $ \sqrt{s}= $ 7 and 8 TeV JHEP 08 (2016) 119 CMS-FSQ-13-008
1604.04464
5 CMS, TOTEM Collaboration Observation of proton-tagged, central (semi)exclusive production of high-mass lepton pairs in pp collisions at 13 TeV with the CMS-TOTEM precision proton spectrometer JHEP 07 (2018) 153 1803.04496
6 ATLAS Collaboration Measurement of exclusive $ \gamma\gamma\rightarrow W^+W^- $ production and search for exclusive Higgs boson production in $ pp $ collisions at $ \sqrt{s} = $ 8 TeV using the ATLAS detector PRD 94 (2016) 032011 1607.03745
7 ATLAS Collaboration Observation of photon-induced $ W^+W^- $ production in $ pp $ collisions at $ \sqrt{s}= $ 13 TeV using the ATLAS detector PLB 816 (2021) 136190 2010.04019
8 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004
9 CMS Collaboration Development of the CMS detector for the CERN LHC Run 3 JINST 19 (2024) P05064 CMS-PRF-21-001
2309.05466
10 CMS Collaboration Performance of the CMS Level-1 trigger in proton-proton collisions at $ \sqrt{s} = $ 13 TeV JINST 15 (2020) P10017 CMS-TRG-17-001
2006.10165
11 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
12 CMS Collaboration Performance of the CMS high-level trigger during LHC run 2 JINST 19 (2024) P11021 CMS-TRG-19-001
2410.17038
13 CMS Collaboration Electron and photon reconstruction and identification with the CMS experiment at the CERN LHC JINST 16 (2021) P05014 CMS-EGM-17-001
2012.06888
14 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
15 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
16 L. A. Harland-Lang, M. Tasevsky, V. A. Khoze, and M. G. Ryskin A new approach to modelling elastic and inelastic photon-initiated production at the LHC: SuperChic 4 EPJC 80 (2020) 925 2007.12704
17 H.-S. Shao and D. d'Enterria gamma-UPC: automated generation of exclusive photon-photon processes in ultraperipheral proton and nuclear collisions with varying form factors JHEP 09 (2022) 248 2207.03012
18 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
19 J. Alwall et al. MadGraph/MadEvent v4: the new web generation JHEP 09 (2007) 028
20 R. Frederix and S. Frixione Merging meets matching in MC@NLO JHEP 12 (2012) 061 1209.6215
21 O. Mattelaer On the maximal use of Monte Carlo samples: re-weighting events at NLO accuracy EPJC 76 (2016) 674 1607.00763
22 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
23 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
24 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
25 S. Alioli et al. Jet pair production in POWHEG JHEP 04 (2011) 081 1012.3380
26 S. Alioli, P. Nason, C. Oleari, and E. Re NLO Higgs boson production via gluon fusion matched with shower in POWHEG JHEP 04 (2009) 002 0812.0578
27 T. Sjöstrand et al. An introduction to PYTHIA 8.2 Comput. Phys. Commun. 191 (2015) 159 1410.3012
28 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
29 R. D. Ball et al. Unbiased global determination of parton distributions and their uncertainties at NNLO and at LO NPB 855 (2012) 153 1107.2652
30 NNPDF Collaboration Parton distributions with QED corrections NPB 877 (2013) 290 1308.0598
31 NNPDF Collaboration Parton distributions from high-precision collider data EPJC 77 (2017) 663 1706.00428
32 GEANT4 Collaboration GEANT 4---a simulation toolkit NIM A 506 (2003) 250
33 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
34 CMS Collaboration ECAL 2016 refined calibration and Run2 summary plots CMS Detector Performance Summary CMS-DP-2020-021, 2020
CDS
35 CMS Tracker Group Collaboration The CMS phase-1 pixel detector upgrade JINST 16 (2021) P02027 2012.14304
36 CMS Collaboration Track impact parameter resolution for the full pseudo rapidity coverage in the 2017 dataset with the CMS phase-1 pixel detector CMS Detector Performance Summary CMS-DP-2020-049, 2020
CDS
37 CMS Collaboration 2017 tracking performance plots CMS Detector Performance Summary CMS-DP-2017-015, 2017
CDS
38 G. Cowan, K. Cranmer, E. Gross, and O. Vitells Asymptotic formulae for likelihood-based tests of new physics EPJC 71 (2011) 1554 1007.1727
39 R. Barlow and C. Beeston Fitting using finite Monte Carlo samples Comput. Phys. Commun. 77 (1993) 219
40 CMS Collaboration Measurement of the inelastic proton-proton cross section at $ \sqrt{s}= $ 13 TeV JHEP 07 (2018) 161 CMS-FSQ-15-005
1802.02613
41 CMS Collaboration Precision luminosity measurement in proton-proton collisions at $ \sqrt{s} = $ 13 TeV in 2015 and 2016 at CMS EPJC 81 (2021) 800 CMS-LUM-17-003
2104.01927
42 CMS Collaboration CMS luminosity measurement for the 2017 data-taking period at $ \sqrt{s} = $ 13 TeV CMS Physics Analysis Summary, 2018
link
CMS-PAS-LUM-17-004
43 CMS Collaboration CMS luminosity measurement for the 2018 data-taking period at $ \sqrt{s} = $ 13 TeV CMS Physics Analysis Summary, 2019
link
CMS-PAS-LUM-18-002
44 CMS Collaboration The CMS statistical analysis and combination tool: COMBINE Comput. Softw. Big Sci. 8 (2024) 19 CMS-CAT-23-001
2404.06614
45 W. Verkerke and D. P. Kirkby The RooFit toolkit for data modeling eConf (2003) MOLT007 physics/0306116
46 L. Moneta et al. The RooStats Project ACAT2010
link
1009.1003
47 CMS Collaboration Measurement of W$ ^\pm\gamma $ differential cross sections in proton-proton collisions at $ \sqrt{s} = $ 13 TeV and effective field theory constraints PRD 105 (2022) 052003 CMS-SMP-20-005
2111.13948
48 CMS Collaboration W$ ^+ $W$ ^- $ boson pair production in proton-proton collisions at $ \sqrt{s} = $ 13 TeV PRD 102 (2020) 092001 CMS-SMP-18-004
2009.00119
49 CMS Collaboration Measurement of electroweak production of a W boson in association with two jets in proton-proton collisions at $ \sqrt{s} = $ 13 TeV EPJC 80 (2020) 43 CMS-SMP-17-011
1903.04040
50 G. Durieux et al. LHC EFT WG note: Basis for anomalous quartic gauge couplings link 2411.02483
51 CMS Collaboration Measurements of production cross sections of WZ and same-sign WW boson pairs in association with two jets in proton-proton collisions at $ \sqrt{s} = $ 13 TeV PLB 809 (2020) 135710 CMS-SMP-19-012
2005.01173
52 CMS Collaboration Measurements of the pp $ \to $ W$ ^\pm\gamma\gamma $ and pp $ \to $ Z$ \gamma\gamma $ cross sections at $ \sqrt{s} = $ 13 TeV and limits on anomalous quartic gauge couplings JHEP 10 (2021) 174 CMS-SMP-19-013
2105.12780
53 CMS Collaboration Measurement of the electroweak production of Z$ \gamma $ and two jets in proton-proton collisions at $ \sqrt{s} = $ 13 TeV and constraints on anomalous quartic gauge couplings PRD 104 (2021) 072001 CMS-SMP-20-016
2106.11082
54 CMS Collaboration Measurement of the electroweak production of W$ \gamma $ in association with two jets in proton-proton collisions at $ \sqrt{s} = $ 13 TeV PRD 108 (2023) 032017 CMS-SMP-21-011
2212.12592
55 CMS, TOTEM Collaboration Search for high-mass exclusive $ \gamma\gamma\to WW $ and $ \gamma\gamma\to ZZ $ production in proton-proton collisions at $ \sqrt{s} = $ 13 TeV JHEP 07 (2023) 229 2211.16320
56 CMS Collaboration Study of semileptonic vector boson scattering and anomalous quartic gauge coupling from proton-proton collisions at 13 TeV technical report, CERN, 2025
CDS
Compact Muon Solenoid
LHC, CERN