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CMS-SMP-17-011 ; CERN-EP-2019-022
Measurement of electroweak production of a W boson in association with two jets in proton-proton collisions at $\sqrt{s} = $ 13 TeV
Eur. Phys. J. C 80 (2020) 43
Abstract: A measurement is presented of electroweak (EW) production of a W boson in association with two jets in proton-proton collisions at $\sqrt{s} = $ 13 TeV. The data sample was recorded by the CMS Collaboration at the LHC and corresponds to an integrated luminosity of 35.9 fb$^{-1}$. The measurement is performed for the $\ell\nu\mathrm{jj}$ final state (with $\ell\nu$ indicating a lepton-neutrino pair, and j representing the quarks produced in the hard interaction) in a kinematic region defined by invariant mass $m_\mathrm{jj} > $ 120 GeV and transverse momenta $p_\mathrm{T j} > $ 25 GeV. The cross section of the process is measured in the electron and muon channels yielding $\sigma_\mathrm{EW}(\mathrm{W}\mathrm{jj})= $ 6.23 $\pm$ 0.12 (stat) $\pm$ 0.61 (syst) pb per channel, in agreement with leading-order standard model predictions. The additional hadronic activity of events in a signal-enriched region is studied, and the measurements are compared with predictions. The final state is also used to perform a search for anomalous trilinear gauge couplings. Limits on anomalous trilinear gauge couplings associated with dimension-six operators are given in the framework of an effective field theory. The corresponding 95% confidence level intervals are $-2.3 < c_{{\mathrm{W}\mathrm{W}\mathrm{W}}}/\Lambda^2 < 2.5 $ TeV$^{-2}$, $-8.8 < c_{\mathrm{W}}/\Lambda^2 < 16$ TeV$^{-2}$, and $-45 < c_{\mathrm{B}}/\Lambda^2 < 46 $ TeV$^{-2}$. These results are combined with the CMS EW Zjj analysis, yielding the most stringent limit to date on the $c_{{\mathrm{W}\mathrm{W}\mathrm{W}}}$ coupling : $-1.8 < c_{{\mathrm{W}\mathrm{W}\mathrm{W}}}/\Lambda^2 < 2.0 $ TeV$^{-2}$.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Representative Feynman diagrams for lepton-neutrino production in association with two jets from purely electroweak amplitudes: vector boson fusion (left), bremsstrahlung-like (center), and multiperipheral (right) production.

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Figure 1-a:
Representative Feynman diagram for lepton-neutrino production in association with two jets from purely electroweak amplitudes: vector boson fusion production.

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Figure 1-b:
Representative Feynman diagram for lepton-neutrino production in association with two jets from purely electroweak amplitudes: bremsstrahlung-like production.

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Figure 1-c:
Representative Feynman diagram for lepton-neutrino production in association with two jets from purely electroweak amplitudes: multiperipheral production.

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Figure 2:
Representative diagrams for W boson production in association with two jets (DY ${\mathrm {W}}\mathrm {jj}$) that constitute the main background for the measurement.

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Figure 2-a:
Representative diagram for W boson production in association with two jets (DY ${\mathrm {W}}\mathrm {jj}$) that constitute the main background for the measurement.

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Figure 2-b:
Representative diagram for W boson production in association with two jets (DY ${\mathrm {W}}\mathrm {jj}$) that constitute the main background for the measurement.

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Figure 3:
Data divided by simulation as a function of $\ln(m_ {\mathrm {jj}} / \mathrm{GeV})$ in a signal-depleted control sample with $R({p_{\mathrm {T}}}) > $ 0.2. This distribution is fit by a third-order polynomial (solid black line) in order to derive a correction on the simulation $m_ {\mathrm {jj}} $ prediction. The points are varied by the uncertainty, including the effect of the limited number of simulated events (dashed error bars) and refitted in order to derive the systematic variations on the correction (dashed lines) corresponding to a standard deviation (s.d.).

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Figure 4-a:
Distribution of the missing transverse momentum after the event preselection for the selected leading lepton in the event, in the muon (left) and electron (right) channels. In all plots the last bin contains overflow events.

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Figure 4-b:
Distribution of the lepton-$ {{p_{\mathrm {T}}} ^{\text {miss}}}$ system transverse mass after the event preselection for the selected leading lepton in the event, in the muon (left) and electron (right) channels. In all plots the last bin contains overflow events.

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Figure 5-a:
Dijet invariant mass distributions after the event preselection, in the muon (left) and electron (right) channels. In all plots the last bin contains overflow events.

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Figure 5-b:
Pseudorapidity difference distributions after the event preselection, in the muon (left) and electron (right) channels. In all plots the last bin contains overflow events.

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Figure 6-a:
Distributions of the "Zeppenfeld'' variable $y^\star $(W) after event preselection in the muon (left) and electron (right) channels. In all plots the last bin contains overflow events.

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Figure 6-b:
Distributions of the "Zeppenfeld'' variable $z^\star $(W) after event preselection in the muon (left) and electron (right) channels. In all plots the last bin contains overflow events.

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Figure 7-a:
The QGL output for the leading quark jet candidates in the preselected muon (left) and electron (right) samples.

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Figure 7-b:
The QGL output for the subleading quark jet candidates in the preselected muon (left) and electron (right) samples.

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Figure 8:
Data and MC simulation BDT' output distributions for the muon (left) and electron (right) channels, using the BDT output transformed with the $\tanh^{-1}$ function to enhance the purest signal region. The ratio panel shows the statistical uncertainty from the simulation as well as the independent systematic uncertainties front the leading sources.

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Figure 8-a:
Data and MC simulation BDT' output distributions for the muon channel, using the BDT output transformed with the $\tanh^{-1}$ function to enhance the purest signal region. The ratio panel shows the statistical uncertainty from the simulation as well as the independent systematic uncertainties front the leading sources.

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Figure 8-b:
Data and MC simulation BDT' output distributions for the electron channel, using the BDT output transformed with the $\tanh^{-1}$ function to enhance the purest signal region. The ratio panel shows the statistical uncertainty from the simulation as well as the independent systematic uncertainties front the leading sources.

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Figure 9:
Data compared with simulation for the BDT' output distribution for the muon (left) and electron (right) channels, after the fit. The grey uncertainty band in the ratio panel includes all systematic uncertainties.

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Figure 9-a:
Data compared with simulation for the BDT' output distribution for the muon channel, after the fit. The grey uncertainty band in the ratio panel includes all systematic uncertainties.

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Figure 9-b:
Data compared with simulation for the BDT' output distribution for the electron channel, after the fit. The grey uncertainty band in the ratio panel includes all systematic uncertainties.

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Figure 10:
Distributions of $ {p_{\mathrm {T}}} ^\ell $ in data and SM backgrounds, and various ATGC scenarios in the muon (left) and electron (right) channels. For each ATGC scenario plotted a particular parameter is varied while the other ATGC parameters are fixed to zero. The lower panels show the ratio between data and prediction minus one with the statistical uncertainty from simulation (grey hatched band) as well as the leading systematic uncertainties in the shape of the $ {p_{\mathrm {T}}} ^\ell $ distribution.

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Figure 10-a:
Distribution of $ {p_{\mathrm {T}}} ^\ell $ in data and SM backgrounds, and various ATGC scenarios in the muon channel. For each ATGC scenario plotted a particular parameter is varied while the other ATGC parameters are fixed to zero. The lower panel shows the ratio between data and prediction minus one with the statistical uncertainty from simulation (grey hatched band) as well as the leading systematic uncertainties in the shape of the $ {p_{\mathrm {T}}} ^\ell $ distribution.

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Figure 10-b:
Distribution of $ {p_{\mathrm {T}}} ^\ell $ in data and SM backgrounds, and various ATGC scenarios in the electron channel. For each ATGC scenario plotted a particular parameter is varied while the other ATGC parameters are fixed to zero. The lower panel shows the ratio between data and prediction minus one with the statistical uncertainty from simulation (grey hatched band) as well as the leading systematic uncertainties in the shape of the $ {p_{\mathrm {T}}} ^\ell $ distribution.

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Figure 11:
Expected and observed two-dimensional limits on the EFT parameters at 95% CL.

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Figure 11-a:
Expected and observed two-dimensional limits on the EFT parameters at 95% CL.

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Figure 11-b:
Expected and observed two-dimensional limits on the EFT parameters at 95% CL.

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Figure 11-c:
Expected and observed two-dimensional limits on the EFT parameters at 95% CL.

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Figure 12:
Expected and observed two-dimensional limits on the ATGC effective Lagrangian (LEP parametrization) parameters at 95% CL.

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Figure 12-a:
Expected and observed two-dimensional limits on the ATGC effective Lagrangian (LEP parametrization) parameters at 95% CL.

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Figure 12-b:
Expected and observed two-dimensional limits on the ATGC effective Lagrangian (LEP parametrization) parameters at 95% CL.

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Figure 12-c:
Expected and observed two-dimensional limits on the ATGC effective Lagrangian (LEP parametrization) parameters at 95% CL.

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Figure 13:
Expected and observed two-dimensional limits on the EFT parameters at 95% CL from the combination of EW ${{\mathrm {W}}\mathrm {jj}} $ and EW ${{\mathrm {Z}}\mathrm {jj}} $ analyses.

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Figure 13-a:
Expected and observed two-dimensional limits on the EFT parameters at 95% CL from the combination of EW ${{\mathrm {W}}\mathrm {jj}} $ and EW ${{\mathrm {Z}}\mathrm {jj}} $ analyses.

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Figure 13-b:
Expected and observed two-dimensional limits on the EFT parameters at 95% CL from the combination of EW ${{\mathrm {W}}\mathrm {jj}} $ and EW ${{\mathrm {Z}}\mathrm {jj}} $ analyses.

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Figure 13-c:
Expected and observed two-dimensional limits on the EFT parameters at 95% CL from the combination of EW ${{\mathrm {W}}\mathrm {jj}} $ and EW ${{\mathrm {Z}}\mathrm {jj}} $ analyses.

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Figure 14:
Expected and observed two-dimensional limits on the ATGC effective Lagrangian (LEP parametrization) parameters at 95% CL from the combination of EW ${{\mathrm {W}}\mathrm {jj}} $ and EW ${{\mathrm {Z}}\mathrm {jj}} $ analyses.

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Figure 14-a:
Expected and observed two-dimensional limits on the ATGC effective Lagrangian (LEP parametrization) parameters at 95% CL from the combination of EW ${{\mathrm {W}}\mathrm {jj}} $ and EW ${{\mathrm {Z}}\mathrm {jj}} $ analyses.

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Figure 14-b:
Expected and observed two-dimensional limits on the ATGC effective Lagrangian (LEP parametrization) parameters at 95% CL from the combination of EW ${{\mathrm {W}}\mathrm {jj}} $ and EW ${{\mathrm {Z}}\mathrm {jj}} $ analyses.

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Figure 14-c:
Expected and observed two-dimensional limits on the ATGC effective Lagrangian (LEP parametrization) parameters at 95% CL from the combination of EW ${{\mathrm {W}}\mathrm {jj}} $ and EW ${{\mathrm {Z}}\mathrm {jj}} $ analyses.

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Figure 15-a:
Leading additional jet ${p_{\mathrm {T}}}$ (${p_{\mathrm {T}}}$ (j3)) for $\mathrm {BDT} > $ 0.95 in the muon (left) and electron (right) channels including signal with PYTHIA parton showering. In all plots the last bin contains overflow events, and the first bin contains events where no additional jet with ${p_{\mathrm {T}}} > $ 15 GeV is present.

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Figure 15-b:
Leading additional jet ${p_{\mathrm {T}}}$ (${p_{\mathrm {T}}}$ (j3)) for $\mathrm {BDT} > $ 0.95 in the muon (left) and electron (right) channels including signal with HERWIG++ parton showering. In all plots the last bin contains overflow events, and the first bin contains events where no additional jet with ${p_{\mathrm {T}}} > $ 15 GeV is present.

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Figure 16-a:
Total ${H_{\mathrm {T}}}$ of the additional jets for $\mathrm {BDT} > $ 0.95 in the muon (left) and electron (right) channels including signal with PYTHIA parton showering. In all plots the last bin contains overflow events, and the first bin contains events where no additional jet with $ {p_{\mathrm {T}}} > $ 15 GeV is present.

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Figure 16-b:
Total ${H_{\mathrm {T}}}$ of the additional jets for $\mathrm {BDT} > $ 0.95 in the muon (left) and electron (right) channels including signal with HERWIG++ parton showering. In all plots the last bin contains overflow events, and the first bin contains events where no additional jet with $ {p_{\mathrm {T}}} > $ 15 GeV is present.

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Figure 17-a:
Leading additional soft-activity (SA) jet ${p_{\mathrm {T}}}$ for BDT $ > $ 0.95 in the muon (left) and electron (right) channels including signal with PYTHIA parton showering.

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Figure 17-b:
Leading additional soft-activity (SA) jet ${p_{\mathrm {T}}}$ for BDT $ > $ 0.95 in the muon (left) and electron (right) channels including signal with HERWIG++ parton showering.

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Figure 18-a:
Total soft activity (SA) jet ${H_{\mathrm {T}}}$ for BDT $ > $ 0.95 in the muon (left) and electron (right) channels including signal with PYTHIA parton showering. In all plots the last bin contains overflow events.

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Figure 18-b:
Total soft activity (SA) jet ${H_{\mathrm {T}}}$ for BDT $ > $ 0.95 in the muon (left) and electron (right) channels including signal with HERWIG++ parton showering. In all plots the last bin contains overflow events.

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Figure 19:
Hadronic activity veto efficiencies in the signal-enriched $\mathrm {BDT} > $ 0.95 region for the muon and electron channels combined, as a function of the leading additional jet ${p_{\mathrm {T}}}$ (upper left), additional jet ${H_{\mathrm {T}}}$ (upper right), leading soft-activity jet ${p_{\mathrm {T}}}$ (lower left), and soft-activity jet ${H_{\mathrm {T}}}$ (lower right). The data are compared with the background-only prediction as well as background+signal with PYTHIA parton showering and background+signal with HERWIG++ parton showering. The uncertainty bands include only the statistical uncertainty in the prediction from simulation.

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Figure 19-a:
Hadronic activity veto efficiencies in the signal-enriched $\mathrm {BDT} > $ 0.95 region for the muon and electron channels combined, as a function of the leading additional jet ${p_{\mathrm {T}}}$. The data are compared with the background-only prediction as well as background+signal with PYTHIA parton showering and background+signal with HERWIG++ parton showering. The uncertainty bands include only the statistical uncertainty in the prediction from simulation.

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Figure 19-b:
Hadronic activity veto efficiencies in the signal-enriched $\mathrm {BDT} > $ 0.95 region for the muon and electron channels combined, as a function of additional jet ${H_{\mathrm {T}}}$. The data are compared with the background-only prediction as well as background+signal with PYTHIA parton showering and background+signal with HERWIG++ parton showering. The uncertainty bands include only the statistical uncertainty in the prediction from simulation.

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Figure 19-c:
Hadronic activity veto efficiencies in the signal-enriched $\mathrm {BDT} > $ 0.95 region for the muon and electron channels combined, as a function of leading soft-activity jet ${p_{\mathrm {T}}}$. The data are compared with the background-only prediction as well as background+signal with PYTHIA parton showering and background+signal with HERWIG++ parton showering. The uncertainty bands include only the statistical uncertainty in the prediction from simulation.

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Figure 19-d:
Hadronic activity veto efficiencies in the signal-enriched $\mathrm {BDT} > $ 0.95 region for the muon and electron channels combined, as a function of soft-activity jet ${H_{\mathrm {T}}}$. The data are compared with the background-only prediction as well as background+signal with PYTHIA parton showering and background+signal with HERWIG++ parton showering. The uncertainty bands include only the statistical uncertainty in the prediction from simulation.

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Figure 20-a:
Number of soft activity jets with $ {p_{\mathrm {T}}} > $ 10 GeV in the rapidity gap for $\mathrm {BDT} > $ 0.95 in the muon (left) and electron (right) channels including signal with PYTHIA parton showering. In all plots the last bin contains overflow events.

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Figure 20-b:
Number of soft activity jets with $ {p_{\mathrm {T}}} > $ 10 GeV in the rapidity gap for $\mathrm {BDT} > $ 0.95 in the muon (left) and electron (right) channels including signal with HERWIG++ parton showering. In all plots the last bin contains overflow events.

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Figure 21-a:
Number of soft activity jets with $ {p_{\mathrm {T}}} > $ 5 GeV in the rapidity gap for $\mathrm {BDT} > $ 0.95 in the muon (left) and electron (right) channels including signal with PYTHIA parton showering.

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Figure 21-b:
Number of soft activity jets with $ {p_{\mathrm {T}}} > $ 5 GeV in the rapidity gap for $\mathrm {BDT} > $ 0.95 in the muon (left) and electron (right) channels including signal with HERWIG++ parton showering.

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Figure 22-a:
Number of soft activity jets with $ {p_{\mathrm {T}}} > $ 2 GeV in the rapidity gap for $\mathrm {BDT} > $ 0.95 in the muon (left) and electron (right) channels including signal with PYTHIA parton showering.

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Figure 22-b:
Number of soft activity jets with $ {p_{\mathrm {T}}} > $ 2 GeV in the rapidity gap for $\mathrm {BDT} > $ 0.95 in the muon (left) and electron (right) channels including signal with HERWIG++ parton showering.

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Figure 23:
Leading additional jet ${p_{\mathrm {T}}} ({p_{\mathrm {T}}}$ (j3)) for BDT $ < $ 0.95 in the muon (left) and electron (right) channels. In all plots the first bin contains events where no additional jet with $ {p_{\mathrm {T}}} > $ 15 GeV is present.

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Figure 24:
Total ${H_{\mathrm {T}}}$ of the additional jets for BDT $ < $ 0.95 in the muon (left) and electron (right) channels. In all plots the fist bin contains events where no additional jet with $ {p_{\mathrm {T}}} > $ 15 GeV is present.

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Figure 25:
Leading additional soft-activity (SA) jet ${p_{\mathrm {T}}}$ for BDT $ < $ 0.95 in the muon (left) and electron (right)

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Figure 26:
Total soft activity (SA) jet ${H_{\mathrm {T}}}$ for BDT $ < $ 0.95 in the muon (left) and electron (right) channels.

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Figure 27:
Hadronic activity veto efficiencies in the signal-depleted BDT $ < $ 0.95 region for the muon and electron channels combined, as a function of the leading additional jet ${p_{\mathrm {T}}}$ (upper left), additional jet ${H_{\mathrm {T}}}$ (upper right), leading soft-activity jet ${p_{\mathrm {T}}}$ (lower left), and soft-activity jet ${H_{\mathrm {T}}}$ (lower right). The data are compared with the background-only prediction as well as background+signal with PYTHIA parton showering and background+signal with HERWIG++ parton showering. The uncertainty bands include only the statistical uncertainty in the prediction from simulation. There is very little difference between the predictions due to the small fraction of signal in this region.

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Figure 27-a:
Hadronic activity veto efficiencies in the signal-depleted BDT $ < $ 0.95 region for the muon and electron channels combined, as a function of the leading additional jet ${p_{\mathrm {T}}}$. The data are compared with the background-only prediction as well as background+signal with PYTHIA parton showering and background+signal with HERWIG++ parton showering. The uncertainty bands include only the statistical uncertainty in the prediction from simulation. There is very little difference between the predictions due to the small fraction of signal in this region.

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Figure 27-b:
Hadronic activity veto efficiencies in the signal-depleted BDT $ < $ 0.95 region for the muon and electron channels combined, as a function of additional jet ${H_{\mathrm {T}}}$. The data are compared with the background-only prediction as well as background+signal with PYTHIA parton showering and background+signal with HERWIG++ parton showering. The uncertainty bands include only the statistical uncertainty in the prediction from simulation. There is very little difference between the predictions due to the small fraction of signal in this region.

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Figure 27-c:
Hadronic activity veto efficiencies in the signal-depleted BDT $ < $ 0.95 region for the muon and electron channels combined, as a function of leading soft-activity jet ${p_{\mathrm {T}}}$. The data are compared with the background-only prediction as well as background+signal with PYTHIA parton showering and background+signal with HERWIG++ parton showering. The uncertainty bands include only the statistical uncertainty in the prediction from simulation. There is very little difference between the predictions due to the small fraction of signal in this region.

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Figure 27-d:
Hadronic activity veto efficiencies in the signal-depleted BDT $ < $ 0.95 region for the muon and electron channels combined, as a function of soft-activity jet ${H_{\mathrm {T}}}$. The data are compared with the background-only prediction as well as background+signal with PYTHIA parton showering and background+signal with HERWIG++ parton showering. The uncertainty bands include only the statistical uncertainty in the prediction from simulation. There is very little difference between the predictions due to the small fraction of signal in this region.
Tables

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Table 1:
Event yields expected for background and signal processes using the initial selections and with a selection on the multivariate analysis output (BDT) that provides similar signal and background yields. The yields are compared to the data observed in the different channels and categories. The total uncertainties quoted for signal, DY ${\mathrm {W}}\mathrm {jj}$ and diboson backgrounds, and processes with top quarks (${{\mathrm {t}\overline {\mathrm {t}}}}$ and single top quarks) include the systematic uncertainties.

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Table 2:
One-dimensional limits on the ATGC EFT parameters at 95% CL.

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Table 3:
One-dimensional limits on the ATGC effective Lagrangian (LEP parametrization) parameters at 95% CL.

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Table 4:
One-dimensional limits on the ATGC EFT parameters at 95% CL from the combination of EW ${{\mathrm {W}}\mathrm {jj}} $ and EW ${{\mathrm {Z}}\mathrm {jj}} $ analyses.

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Table 5:
test. One-dimensional limits on the ATGC effective Lagrangian (LEP parametrization) parameters at 95% CL from the combination of EW ${{\mathrm {W}}\mathrm {jj}} $ and EW ${{\mathrm {Z}}\mathrm {jj}} $ analyses.
Summary
The fiducial cross section of the electroweak production of a W boson in association with two jets is measured in the kinematic region defined as invariant mass $m_\mathrm{jj} > $ 120 GeV and transverse momenta $p_\mathrm{T j} > $ 25 GeV. The data sample corresponds to an integrated luminosity of 35.9 fb$^{-1}$ of proton-proton collisions at centre-of-mass energy $\sqrt{s} = $ 13 TeV recorded by the CMS Collaboration at the LHC. The measured cross section $\sigma_\mathrm{EW}(\mathrm{W}\mathrm{jj})= $ 6.23 $\pm$ 0.12 (stat) $\pm$ 0.61 (syst) pb agrees with the leading order standard model prediction. This is the first observation of this process at $\sqrt{s} = $ 13 TeV.

A search is performed for anomalous trilinear gauge couplings associated with dimension-six operators as given in the framework of an effective field theory. No evidence for ATGCs is found, and the corresponding 95% confidence level intervals on the dimension-six operators are $-2.3 < c_{{\mathrm{W}\mathrm{W}\mathrm{W}}}/\Lambda^2 < 2.5 $ TeV$^{-2}$, $-8.8 < c_{\mathrm{W}}/\Lambda^2 < 16 $ TeV$^{-2}$, and $-45 < c_{\mathrm{B}}/\Lambda^2 < 46$ TeV$^{-2}$. These results are combined with previous results on the electroweak production of a Z boson in association with two jets, yielding the most stringent limit to date on the $c_{{\mathrm{W}\mathrm{W}\mathrm{W}}}$ coupling $-1.8 < c_{{\mathrm{W}\mathrm{W}\mathrm{W}}}/\Lambda^2 < 2.0 $ TeV$^{-2}$.

The additional hadronic activity, as well as the efficiencies for gap activity vetos, are studied in a signal-enriched region. Generally reasonable agreement is found between the data and the quantum chromodynamics predictions with the HERWIG++ parton shower and hadronization model, while the PYTHIA model predictions are typically above the observed measurements.

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Compact Muon Solenoid
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