pith. sign in

arxiv: 2606.20558 · v1 · pith:QBZ6SZRVnew · submitted 2026-06-18 · ✦ hep-ex

Observation of electroweak production of pairs of Z bosons in proton-proton collisions at 13 TeV

Pith reviewed 2026-06-26 14:52 UTC · model grok-4.3

classification ✦ hep-ex
keywords electroweak productionZ boson pairsZZjjproton-proton collisionsCMS experimentvector boson scatteringanomalous gauge couplings13 TeV
0
0 comments X

The pith

The CMS experiment reports the first evidence for electroweak production of Z boson pairs with two jets in the dilepton missing-energy channel at 3.1 sigma significance.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper presents the first evidence of electroweak ZZjj production in proton-proton collisions at 13 TeV in the ZZ to ll nu nu jj decay channel. Events are selected by requiring exactly two same-flavor opposite-charge leptons, large missing transverse momentum, and two jets with large rapidity separation and large invariant mass. The measured fiducial cross section of 0.37 fb agrees with the standard model prediction of 0.39 fb. The observed significance is 3.1 standard deviations in this channel, rising to 5.0 standard deviations when combined with a prior four-lepton result. A sympathetic reader cares because the result tests a rare electroweak process involving vector boson interactions at high energy.

Core claim

The analysis observes electroweak production of pairs of Z bosons in association with two jets in the final state ZZjj to ll nu nu jj, where l equals e or mu. Using 138 inverse fb of 13 TeV proton-proton collision data, the fiducial electroweak cross section is measured as 0.37 plus 0.14 minus 0.12 statistical plus 0.06 minus 0.06 systematic fb, in agreement with the standard model prediction of 0.39 plus or minus 0.06 fb. The observed significance of the signal is 3.1 standard deviations. Limits on anomalous quartic gauge couplings are set using dimension-8 effective field theory operators. A combination with the previously reported four charged lepton channel result yields an observed sign

What carries the argument

The fiducial event selection with two opposite-charge same-flavor leptons, large missing transverse momentum, and two jets separated by large rapidity gap and large invariant mass, which isolates the electroweak signal component from dominant QCD backgrounds.

If this is right

  • The measured cross section agrees with the standard model prediction within uncertainties.
  • The signal reaches 3.1 standard deviations significance in the dilepton missing-energy channel.
  • Combining channels produces an observed significance of 5.0 standard deviations for electroweak ZZ pair production.
  • Limits are placed on dimension-8 effective field theory operators describing anomalous quartic gauge couplings.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • This result enables more precise studies of vector boson scattering to further test the mechanism of electroweak symmetry breaking.
  • Additional luminosity could strengthen constraints on beyond-standard-model effects in quartic gauge boson interactions.
  • The technique of combining multiple decay channels may extend to searches for other rare electroweak processes at higher energies.

Load-bearing premise

Background processes such as QCD-induced ZZjj and other standard model contributions are accurately modeled and subtracted so that any observed excess can be attributed to the electroweak signal.

What would settle it

If the number of selected events after all cuts deviates significantly from the sum of the modeled backgrounds plus the predicted electroweak signal, or if the extracted significance falls below 3 sigma with additional data under the same selection, the central claim would be challenged.

Figures

Figures reproduced from arXiv: 2606.20558 by CMS Collaboration.

Figure 1
Figure 1. Figure 1: Example Feynman diagrams of the signal EW ZZ process (first three diagrams) and [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Distributions of the dijet invariant mass (left) and the flattened GNN discriminator [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: The mT distribution (left) with the expected contribution from a T8 operator, showing SM case (dashed red) and fT8/Λ4 = 4TeV−4 (solid red). The vertical bars on the data points represent the statistical uncertainties. The expected and observed limits (right) at 95% CL are obtained from the likelihood fits. transverse mass (mT = p 2p Z T p miss T [1 − cos ∆ϕ(⃗p Z T ,⃗p miss T )]) as a distribution that is s… view at source ↗
read the original abstract

The first evidence of electroweak (EW) production of pairs of Z bosons in association with two jets (jj) in the final state ZZjj $\to$ $\ell\ell\nu\nu$jj, where $\ell$ = e, $\mu$, is reported by the CMS experiment. The analysis is based on a data sample of proton-proton (pp) collisions at $\sqrt{s}$ = 13 TeV, corresponding to an integrated luminosity of 138 fb$^{-1}$. Events are selected by requiring exactly two leptons of same flavor and opposite charge, large missing transverse momentum, and two jets with a large rapidity separation and large invariant mass. The EW production cross section in a fiducial volume is $\sigma_{\mathrm{EW}}$(pp $\to$ ZZjj $\to$ $\ell\ell\nu\nu$jj) = 0.37$^{+0.14}_{-0.12}$ (stat)$^{+0.06}_{-0.06}$ (syst) fb, in agreement with the standard model prediction of 0.39 $\pm$ 0.06 fb. The observed (expected) significance of the signal is 3.1 (2.8) standard deviations. Limits on anomalous quartic gauge couplings are derived in terms of dimension-8 effective field theory operators. A combination with the previously reported result from the ZZ decay channel with four charged leptons yields an observed (expected) significance of 5.0 (4.5) standard deviations for the EW production of Z boson pairs.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 0 minor

Summary. The manuscript claims the first evidence of electroweak production of Z boson pairs associated with two jets in the ZZjj → ℓℓννjj channel at √s = 13 TeV with 138 fb^{-1} of CMS data. The fiducial cross section is measured to be 0.37^{+0.14}_{-0.12} (stat) ^{+0.06}_{-0.06} (syst) fb, in agreement with the SM prediction of 0.39 ± 0.06 fb. The observed significance is 3.1σ (expected 2.8σ), and combined with the four-lepton channel it reaches 5.0σ (4.5σ expected). Limits on anomalous quartic gauge couplings via dimension-8 EFT operators are also derived.

Significance. If the background modeling holds, this constitutes important evidence for electroweak ZZjj production, a key process for probing vector boson scattering and the electroweak symmetry breaking sector. The measured cross section agrees well with SM expectations, and the combined significance of 5σ provides strong support for the observation. The analysis in the dilepton + MET channel complements the previously reported four-lepton result, enhancing the overall sensitivity. The derivation of aQGC limits adds value for BSM searches.

major comments (1)
  1. [Abstract] Abstract: The 3.1σ standalone significance and the fiducial cross section measurement depend critically on the subtraction of the QCD ZZjj background in the signal region defined by large m_jj and |Δη_jj|. The abstract does not detail whether this background is constrained using data-driven methods in control regions, purely from Monte Carlo, or via a simultaneous fit, nor the magnitude of the associated systematic uncertainty. This information is essential to assess the robustness of attributing the observed excess to the electroweak component.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful reading and constructive feedback on our manuscript. We address the single major comment below and agree to make a targeted revision to improve clarity.

read point-by-point responses
  1. Referee: The 3.1σ standalone significance and the fiducial cross section measurement depend critically on the subtraction of the QCD ZZjj background in the signal region defined by large m_jj and |Δη_jj|. The abstract does not detail whether this background is constrained using data-driven methods in control regions, purely from Monte Carlo, or via a simultaneous fit, nor the magnitude of the associated systematic uncertainty. This information is essential to assess the robustness of attributing the observed excess to the electroweak component.

    Authors: We agree that the abstract is concise and would benefit from additional context on background treatment. In the analysis the QCD ZZjj background is modeled with Monte Carlo simulation (MadGraph5_aMC@NLO + Pythia) and its normalization is determined from a simultaneous fit to data in the signal region together with control regions at lower m_jj; the associated systematic uncertainty (approximately 20% on the background yield, arising from scale, shower, and PDF variations) is included in the total systematic uncertainty quoted for the cross section. These procedures are described in Sections 5 and 7. We will revise the abstract to include a brief statement on the background estimation method and its constraint in control regions. revision: yes

Circularity Check

0 steps flagged

No circularity: data-driven measurement with independent SM benchmarks

full rationale

The paper reports a cross-section measurement and significance extracted directly from 138 fb^{-1} of collision data via event counting, selection cuts, and background subtraction, then compared to an external SM prediction of 0.39 ± 0.06 fb. The 3.1σ (2.8σ expected) significance follows from the observed excess after subtraction. The combination with a prior four-lepton result is a post-hoc statistical addition of two independent channels and does not redefine or force the present-channel result. No equations, fits, or self-citations reduce any reported quantity to an input by construction; the derivation remains self-contained against external data and simulations.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The measurement rests on standard particle physics assumptions about background modeling and detector simulation rather than new free parameters or postulated entities; the central claim is the data-driven excess and its comparison to an external SM calculation.

axioms (1)
  • domain assumption Standard Model predictions and Monte Carlo simulations accurately describe background processes and detector response in the selected fiducial region
    Required for attributing the excess to the electroweak signal and for the quoted significance and cross section values.

pith-pipeline@v0.9.1-grok · 5810 in / 1450 out tokens · 36325 ms · 2026-06-26T14:52:32.200038+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

66 extracted references · 61 canonical work pages · 35 internal anchors

  1. [1]

    Weak interactions at very high energies: The role of the Higgs-boson mass

    B. W. Lee, C. Quigg, and H. B. Thacker, “Weak interactions at very high energies: The role of the Higgs-boson mass”,Phys. Rev. D16(1977) 1519, doi:10.1103/PhysRevD.16.1519

  2. [2]

    Evidence for electroweak production of four charged leptons and two jets in proton-proton collisions at √s= 13 TeV

    CMS Collaboration, “Evidence for electroweak production of four charged leptons and two jets in proton-proton collisions at √s= 13 TeV”,Phys. Lett. B812(2021) 135992, doi:10.1016/j.physletb.2020.135992,arXiv:2008.07013

  3. [3]

    Performance of missing transverse momentum reconstruction in proton-proton collisions at $\sqrt{s} =$ 13 TeV using the CMS detector

    CMS Collaboration, “Performance of missing transverse momentum reconstruction in proton-proton collisions at √s=13 TeV using the CMS detector”,JINST14(2019) P07004,doi:10.1088/1748-0221/14/07/P07004,arXiv:1903.06078

  4. [4]

    Unitarity constraints on anomalous quartic couplings

    E. d. S. Almeida, O. J. P . Eboli, and M. C. Gonzalez-Garcia, “Unitarity constraints on anomalous quartic couplings”,Phys. Rev. D101(2020) 113003, doi:10.1103/PhysRevD.101.113003,arXiv:2004.05174

  5. [5]

    Vector boson scattering: Recent experimental and theory developments

    C. F. Anders et al., “Vector boson scattering: Recent experimental and theory developments”,Rev. Phys.3(2018) 44,doi:10.1016/j.revip.2018.11.001, arXiv:1801.04203

  6. [6]

    p p -> j j e+/- mu+/- nu nu and j j e+/- mu-/+ nu nu at O(\alpha_{em}^6) and O(\alpha_{em}^4 \alpha_s^2) for the Study of the Quartic Electroweak Gauge Boson Vertex at LHC

    O. J. P . Eboli, M. C. Gonzalez-Garcia, and J. K. Mizukoshi, “pp→jje ±µ±ννand jje ±µ∓νν atO(α 6 em)andO(α 4 emα2 s )for the study of the quartic electroweak gauge boson vertex at CERN LHC”,Phys. Rev. D74(2006) 073005,doi:10.1103/PhysRevD.74.073005, arXiv:hep-ph/0606118

  7. [7]

    Observation of electroweak production of same-sign W boson pairs in the two jet and two same-sign lepton final state in proton-proton collisions at $\sqrt{s} = $ 13 TeV

    CMS Collaboration, “Observation of electroweak production of same-sign W boson pairs in the two jet and two same-sign lepton final state in proton-proton collisions at √s=13 TeV”,Phys. Rev. Lett.120(2018) 081801,doi:10.1103/PhysRevLett.120.081801, arXiv:1709.05822. 8

  8. [8]

    Observation of electroweak W +W− pair production in association with two jets in proton-proton collisions at √s=13 TeV

    CMS Collaboration, “Observation of electroweak W +W− pair production in association with two jets in proton-proton collisions at √s=13 TeV”,Phys. Lett. B841(2023) 137495,doi:10.1016/j.physletb.2022.137495,arXiv:2205.05711

  9. [9]

    Measurements of production cross sections of WZ and same-sign WW boson pairs in association with two jets in proton-proton collisions at √s=13 TeV

    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 √s=13 TeV”, Phys. Lett. B809(2020) 135710,doi:10.1016/j.physletb.2020.135710, arXiv:2005.01173

  10. [10]

    Observation of electroweak production of two jets and a Z-boson pair

    ATLAS Collaboration, “Observation of electroweak production of two jets and a Z-boson pair”,Nat. Phys.19(2023) 237,doi:10.1038/s41567-022-01757-y, arXiv:2004.10612

  11. [11]

    The CMS experiment at the CERN LHC

    CMS Collaboration, “The CMS experiment at the CERN LHC”,JINST3(2008) S08004, doi:10.1088/1748-0221/3/08/S08004

  12. [12]

    Development of the CMS detector for the CERN LHC Run 3

    CMS Collaboration, “Development of the CMS detector for the CERN LHC Run 3”, JINST19(2024) P05064,doi:10.1088/1748-0221/19/05/P05064, arXiv:2309.05466

  13. [13]

    Performance of the CMS Level-1 trigger in proton-proton collisions at √s=13 TeV

    CMS Collaboration, “Performance of the CMS Level-1 trigger in proton-proton collisions at √s=13 TeV”,JINST15(2020) P10017, doi:10.1088/1748-0221/15/10/P10017,arXiv:2006.10165

  14. [14]

    The CMS trigger system

    CMS Collaboration, “The CMS trigger system”,JINST12(2017) P01020, doi:10.1088/1748-0221/12/01/P01020,arXiv:1609.02366

  15. [15]

    Performance of the CMS high-level trigger during LHC Run 2

    CMS Collaboration, “Performance of the CMS high-level trigger during LHC Run 2”, JINST19(2024) P11021,doi:10.1088/1748-0221/19/11/P11021, arXiv:2410.17038

  16. [16]

    Electron and photon reconstruction and identification with the CMS experiment at the CERN LHC

    CMS Collaboration, “Electron and photon reconstruction and identification with the CMS experiment at the CERN LHC”,JINST16(2021) P05014, doi:10.1088/1748-0221/16/05/P05014,arXiv:2012.06888

  17. [17]

    Performance of the CMS muon detector and muon reconstruction with proton-proton collisions at $\sqrt{s}=$ 13 TeV

    CMS Collaboration, “Performance of the CMS muon detector and muon reconstruction with proton-proton collisions at √s=13 TeV”,JINST13(2018) P06015, doi:10.1088/1748-0221/13/06/P06015,arXiv:1804.04528

  18. [18]

    Description and performance of track and primary-vertex reconstruction with the CMS tracker

    CMS Collaboration, “Description and performance of track and primary-vertex reconstruction with the CMS tracker”,JINST9(2014) P10009, doi:10.1088/1748-0221/9/10/P10009,arXiv:1405.6569

  19. [19]

    Particle-flow reconstruction and global event description with the CMS detector

    CMS Collaboration, “Particle-flow reconstruction and global event description with the CMS detector”,JINST12(2017) P10003,doi:10.1088/1748-0221/12/10/P10003, arXiv:1706.04965

  20. [20]

    Performance of reconstruction and identification of $\tau$ leptons decaying to hadrons and $\nu_\tau$ in pp collisions at $\sqrt{s}=$ 13 TeV

    CMS Collaboration, “Performance of reconstruction and identification ofτleptons decaying to hadrons andν τ in pp collisions at √s=13 TeV”,JINST13(2018) P10005, doi:10.1088/1748-0221/13/10/P10005,arXiv:1809.02816

  21. [21]

    Jet energy scale and resolution in the CMS experiment in pp collisions at 8 TeV

    CMS Collaboration, “Jet energy scale and resolution in the CMS experiment in pp collisions at 8 TeV”,JINST12(2017) P02014, doi:10.1088/1748-0221/12/02/P02014,arXiv:1607.03663. References 9

  22. [22]

    The anti-k_t jet clustering algorithm

    M. Cacciari, G. P . Salam, and G. Soyez, “The anti-kT jet clustering algorithm”,JHEP04 (2008) 063,doi:10.1088/1126-6708/2008/04/063,arXiv:0802.1189

  23. [23]

    FastJet user manual

    M. Cacciari, G. P . Salam, and G. Soyez, “FastJet user manual”,Eur. Phys. J. C72(2012) 1896,doi:10.1140/epjc/s10052-012-1896-2,arXiv:1111.6097

  24. [24]

    Identification of heavy-flavour jets with the CMS detector in pp collisions at 13 TeV

    CMS Collaboration, “Identification of heavy-flavour jets with the CMS detector in pp collisions at 13 TeV”,JINST13(2018) P05011, doi:10.1088/1748-0221/13/05/P05011,arXiv:1712.07158

  25. [25]

    Jet flavour classification using DeepJet

    E. Bols et al., “Jet flavour classification using DeepJet”,JINST15(2020) P12012, doi:10.1088/1748-0221/15/12/P12012,arXiv:2008.10519

  26. [26]

    Performance of the DeepJet b tagging algorithm using 41.9 fb −1 of data from proton-proton collisions at 13 TeV with Phase 1 CMS detector

    CMS Collaboration, “Performance of the DeepJet b tagging algorithm using 41.9 fb −1 of data from proton-proton collisions at 13 TeV with Phase 1 CMS detector”, CMS Detector Performance Summary CMS-DP-2018-058, 2018

  27. [27]

    Measurement of the Inclusive W and Z Production Cross Sections in pp Collisions at sqrt(s) = 7 TeV

    CMS Collaboration, “Measurement of the inclusive W and Z production cross sections in pp collisions at √s=7 TeV”,JHEP10(2011) 132,doi:10.1007/JHEP10(2011)132, arXiv:1107.4789

  28. [28]

    A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX

    S. Alioli, P . Nason, C. Oleari, and E. Re, “A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX”,JHEP06(2010) 043, doi:10.1007/JHEP06(2010)043,arXiv:1002.2581

  29. [29]

    An Introduction to PYTHIA 8.2

    T. Sj ¨ostrand et al., “An introduction to PYTHIA 8.2”,Comput. Phys. Commun.191(2015) 159,doi:10.1016/j.cpc.2015.01.024,arXiv:1410.3012

  30. [30]

    Some Dipole Shower Studies

    B. Cabouat and T. Sj ¨ostrand, “Some dipole shower studies”,Eur. Phys. J. C78(2018) 226, doi:10.1140/epjc/s10052-018-5645-z,arXiv:1710.00391

  31. [31]

    Parton-shower effects in Higgs production via Vector-Boson Fusion

    B. J ¨ager et al., “Parton-shower effects in Higgs production via Vector-Boson Fusion”, Eur. Phys. J. C80(2020) 756,doi:10.1140/epjc/s10052-020-8326-7, arXiv:2003.12435

  32. [32]

    MCFM for the Tevatron and the LHC

    J. M. Campbell and R. K. Ellis, “MCFM for the Tevatron and the LHC”,Nucl. Phys. Proc. Suppl.205-206(2010) 10,doi:10.1016/j.nuclphysbps.2010.08.011, arXiv:1007.3492

  33. [33]

    A Positive-Weight Next-to-Leading-Order Monte Carlo for Heavy Flavour Hadroproduction

    S. Frixione, P . Nason, and G. Ridolfi, “A positive-weight next-to-leading-order Monte Carlo for heavy flavour hadroproduction”,JHEP09(2007) 126, doi:10.1088/1126-6708/2007/09/126,arXiv:0707.3088

  34. [34]

    Single-top Wt-channel production matched with parton showers using the POWHEG method

    E. Re, “Single-top Wt-channel production matched with parton showers using the POWHEG method”,Eur. Phys. J. C71(2011) 1547, doi:10.1140/epjc/s10052-011-1547-z,arXiv:1009.2450

  35. [35]

    Parton distributions from high-precision collider data

    NNPDF Collaboration, “Parton distributions from high-precision collider data”,Eur. Phys. J. C77(2017) 663,doi:10.1140/epjc/s10052-017-5199-5, arXiv:1706.00428

  36. [36]

    Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements

    CMS Collaboration, “Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements”,Eur. Phys. J. C80(2020) 4, doi:10.1140/epjc/s10052-019-7499-4,arXiv:1903.12179. 10

  37. [37]

    GEANT4—a simulation toolkit

    GEANT4 Collaboration, “GEANT4—a simulation toolkit”,Nucl. Instrum. Meth. A506 (2003) 250,doi:10.1016/S0168-9002(03)01368-8

  38. [38]

    JEDI-net: a jet identification algorithm based on interaction networks

    E. A. Moreno et al., “JEDI-net: a jet identification algorithm based on interaction networks”,Eur. Phys. J. C80(2020) 58,doi:10.1140/epjc/s10052-020-7608-4, arXiv:1908.05318

  39. [39]

    The CMS statistical analysis and combination tool: COMBINE

    CMS Collaboration, “The CMS statistical analysis and combination tool: COMBINE”, Comput. Softw. Big Sci.8(2024) 19,doi:10.1007/s41781-024-00121-4, arXiv:2404.06614

  40. [40]

    Fitting using finite Monte Carlo samples

    R. Barlow and C. Beeston, “Fitting using finite Monte Carlo samples”,Comput. Phys. Commun.77(1993) 219,doi:10.1016/0010-4655(93)90005-W

  41. [41]

    Incorporating nuisance parameters in likelihoods for multisource spectra

    J. S. Conway, “Incorporating nuisance parameters in likelihoods for multisource spectra”, 2011.arXiv:1103.0354

  42. [42]

    Asymptotic formulae for likelihood-based tests of new physics

    G. Cowan, K. Cranmer, E. Gross, and O. Vitells, “Asymptotic formulae for likelihood-based tests of new physics”,Eur. Phys. J. C71(2011) 1554, doi:10.1140/epjc/s10052-011-1554-0,arXiv:1007.1727. [Erratum: doi:10.1140/epjc/s10052-013-2501-z]

  43. [43]

    Presentation of search results: theCL s technique

    A. L. Read, “Presentation of search results: The CL s technique”,J. Phys. G28(2002) 2693, doi:10.1088/0954-3899/28/10/313

  44. [44]

    Confidence Level Computation for Combining Searches with Small Statistics

    T. Junk, “Confidence level computation for combining searches with small statistics”, Nucl. Instrum. Meth. A434(1999) 435,doi:10.1016/S0168-9002(99)00498-2, arXiv:hep-ex/9902006

  45. [45]

    Measurement and effective field theory interpretation of the photon–fusion production cross section of a pair of W bosons in proton–proton collisions at √s=13 TeV

    CMS Collaboration, “Measurement and effective field theory interpretation of the photon–fusion production cross section of a pair of W bosons in proton–proton collisions at √s=13 TeV”, 2026.arXiv:2601.21574. Submitted to JHEP

  46. [46]

    Measurements of the pp→W ±γγand pp→Zγγcross sections at√s=13 TeV and limits on anomalous quartic gauge couplings

    CMS Collaboration, “Measurements of the pp→W ±γγand pp→Zγγcross sections at√s=13 TeV and limits on anomalous quartic gauge couplings”,JHEP10(2021) 174, doi:10.1007/JHEP10(2021)174,arXiv:2105.12780

  47. [47]

    Measurement of the electroweak production of Zγand two jets in proton-proton collisions at √s=13 TeV and constraints on anomalous quartic gauge couplings

    CMS Collaboration, “Measurement of the electroweak production of Zγand two jets in proton-proton collisions at √s=13 TeV and constraints on anomalous quartic gauge couplings”,Phys. Rev. D104(2021) 072001,doi:10.1103/PhysRevD.104.072001, arXiv:2106.11082

  48. [48]

    Measurement of the electroweak production of Wγin association with two jets in proton-proton collisions at √s=13 TeV

    CMS Collaboration, “Measurement of the electroweak production of Wγin association with two jets in proton-proton collisions at √s=13 TeV”,Phys. Rev. D108(2023) 032017,doi:10.1103/PhysRevD.108.032017,arXiv:2212.12592

  49. [49]

    Vector boson scattering and anomalous quartic couplings in final states withℓνqq orℓℓqq plus jets using proton-proton collisions at √s=13 TeV

    CMS Collaboration, “Vector boson scattering and anomalous quartic couplings in final states withℓνqq orℓℓqq plus jets using proton-proton collisions at √s=13 TeV”,JHEP 03(2026) 022,doi:10.1007/JHEP03(2026)022,arXiv:2510.00118

  50. [50]

    HEPData record for this analysis, 2026.doi:10.17182/hepdata.172159

  51. [51]

    Procedure for the LHC Higgs boson search combination in Summer 2011

    ATLAS and CMS Collaborations, and the LHC Higgs Combination Group, “Procedure for the LHC Higgs boson search combination in Summer 2011”, ATL-PHYS-PUB 011-11/CMS NOTE 2011-005, 2011. References 11

  52. [52]

    Performance of the CMS electromagnetic calorimeter in pp collisions at √s=13 TeV

    CMS Collaboration, “Performance of the CMS electromagnetic calorimeter in pp collisions at √s=13 TeV”,JINST19(2024) P09004, doi:10.1088/1748-0221/19/09/P09004,arXiv:2403.15518

  53. [53]

    Precision luminosity measurement in proton-proton collisions at√s=13 TeV with the CMS detector

    CMS Collaboration, “Precision luminosity measurement in proton-proton collisions at√s=13 TeV with the CMS detector”, CMS Physics Analysis Summary CMS-PAS-LUM-20-001, 2025

  54. [54]

    New parton distributions for collider physics

    H.-L. Lai et al., “New parton distributions for collider physics”,Phys. Rev. D82(2010) 074024,doi:10.1103/PhysRevD.82.074024,arXiv:1007.2241

  55. [55]

    Parton distributions for the LHC

    A. D. Martin, W. J. Stirling, R. S. Thorne, and G. Watt, “Parton distributions for the LHC”, Eur. Phys. J. C63(2009) 189,doi:10.1140/epjc/s10052-009-1072-5, arXiv:0901.0002

  56. [56]

    Impact of Heavy Quark Masses on Parton Distributions and LHC Phenomenology

    NNPDF Collaboration, “Impact of heavy quark masses on parton distributions and LHC phenomenology”,Nucl. Phys. B849(2011) doi:10.1016/j.nuclphysb.2011.03.021,arXiv:1101.1300

  57. [57]

    PDF4LHC recommendations for LHC Run II

    J. Butterworth et al., “PDF4LHC recommendations for LHC Run II”,J. Phys. G43(2016) 023001,doi:10.1088/0954-3899/43/2/023001,arXiv:1510.03865

  58. [58]

    Parton distributions for the LHC Run II

    NNPDF Collaboration, “Parton distributions for the LHC Run II”,JHEP04(2015) 040, doi:10.1007/JHEP04(2015)040,arXiv:1410.8849

  59. [59]

    Search for dark matter produced in association with a leptonically decaying Z boson in proton-proton collisions at √s=13 TeV

    CMS Collaboration, “Search for dark matter produced in association with a leptonically decaying Z boson in proton-proton collisions at √s=13 TeV”,Eur. Phys. J. C81(2021) 13,doi:10.1140/epjc/s10052-020-08739-5,arXiv:2008.04735. [Erratum: doi:10.1140/epjc/s10052-021-08959-3]

  60. [60]

    Vector-boson pair production at the LHC to $\mathcal{O}(\alpha^3)$ accuracy

    A. Bierweiler, T. Kasprzik, and J. H. K ¨uhn, “Vector-boson pair production at the LHC to O(α3)accuracy”,JHEP12(2013) 071,doi:10.1007/JHEP12(2013)071, arXiv:1305.5402

  61. [61]

    Vector-boson pair production and electroweak corrections in HERWIG++

    S. Gieseke, T. Kasprzik, and J. H. Kahn, “Vector-boson pair production and electroweak corrections in HERWIG++”,Eur. Phys. J. C74(2014) 2988, doi:10.1140/epjc/s10052-014-2988-y,arXiv:1401.3964

  62. [62]

    Massive gauge boson pair production at the LHC: a next-to-leading order story

    J. Baglio, L. D. Ninh, and M. M. Weber, “Massive gauge boson pair production at the LHC: a next-to-leading order story”,Phys. Rev. D88(2013) 113005, doi:10.1103/PhysRevD.88.113005,arXiv:1307.4331

  63. [63]

    The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations

    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”,JHEP07 (2014) 079,doi:10.1007/JHEP07(2014)079,arXiv:1405.0301

  64. [64]

    How bright is the proton? A precise determination of the photon parton distribution function

    A. Manohar, P . Nason, G. P . Salam, and G. Zanderighi, “How bright is the proton? A precise determination of the photon parton distribution function”,Phys. Rev. Lett.117 (2016) 242002,doi:10.1103/PhysRevLett.117.242002,arXiv:1607.04266

  65. [65]

    Weak corrections to Higgs hadroproduction in association with a top-quark pair

    S. Frixione et al., “Weak corrections to Higgs hadroproduction in association with a top-quark pair”,JHEP09(2014) 065,doi:10.1007/JHEP09(2014)065, arXiv:1407.0823. 12

  66. [66]

    Electroweak and QCD corrections to top-pair hadroproduction in association with heavy bosons

    S. Frixione et al., “Electroweak and QCD corrections to top-pair hadroproduction in association with heavy bosons”,JHEP06(2015) 184, doi:10.1007/JHEP06(2015)184,arXiv:1504.03446. A End Matter A.1 Single photon control region The method used to estimate the DY background uses the similarity betweenγ+jets and Z+jets events in boson kinematics and jet activi...