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CMS-PAS-SMP-21-011
Measurement of electroweak production of W$\gamma$ with two jets in proton-proton collisions at $\sqrt{s} = $ 13 TeV
Abstract: A measurement is presented for the electroweak production of a W boson, a photon ($\gamma$), and two jets (j) in proton-proton collisions. The leptonic decay of W boson is selected by requiring one identified electron or muon and a large missing transverse momentum. The two jets are required to have a high dijet mass and a large separation in pseudorapidity. The measurement is performed with the data collected by the CMS detector at a center-of-mass energy of 13 TeV, corresponding to an integrated luminosity of 138 fb$^{-1}$. The cross section for the electroweak W$\gamma$jj production in a restricted fiducial region is 19.2 $\pm$ 4.0 fb, while the inclusive cross section for W$\gamma$jj production in the same fiducial region is 90 $\pm$ 11 fb. Differential cross sections are also measured with the distributions unfolded to the parton level. Constraints are placed on anomalous quartic gauge couplings in terms of dimension-8 effective field theory operators. All results are in agreement with standard model expectations.
Figures Summary References CMS Publications
Figures

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Figure 1:
Representative Feynman diagrams for the W$\gamma$jj production at the LHC: EW (left), EW through triple (middle left) and quartic (middle right) gauge boson couplings, and QCD-induced (right).

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Figure 1-a:
Representative Feynman diagrams for the W$\gamma$jj production at the LHC: EW (left), EW through triple (middle left) and quartic (middle right) gauge boson couplings, and QCD-induced (right).

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Figure 1-b:
Representative Feynman diagrams for the W$\gamma$jj production at the LHC: EW (left), EW through triple (middle left) and quartic (middle right) gauge boson couplings, and QCD-induced (right).

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Figure 1-c:
Representative Feynman diagrams for the W$\gamma$jj production at the LHC: EW (left), EW through triple (middle left) and quartic (middle right) gauge boson couplings, and QCD-induced (right).

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Figure 1-d:
Representative Feynman diagrams for the W$\gamma$jj production at the LHC: EW (left), EW through triple (middle left) and quartic (middle right) gauge boson couplings, and QCD-induced (right).

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Figure 2:
The photon ${p_{\mathrm {T}}}$ distribution in the control region for data and from background estimations before the fit to the data. The misID backgrounds are derived from data, whereas the remaining backgrounds are estimated from simulation. All events with photon $ {p_{\mathrm {T}}} > $ 200 GeV are included in the last bin. The hatched bands represent the combined statistical and systematical uncertainties on the predicted yields. The bottom panels show the ratios of the data to the predicted yields.

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Figure 2-a:
The photon ${p_{\mathrm {T}}}$ distribution in the control region for data and from background estimations before the fit to the data. The misID backgrounds are derived from data, whereas the remaining backgrounds are estimated from simulation. All events with photon $ {p_{\mathrm {T}}} > $ 200 GeV are included in the last bin. The hatched bands represent the combined statistical and systematical uncertainties on the predicted yields. The bottom panels show the ratios of the data to the predicted yields.

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Figure 2-b:
The photon ${p_{\mathrm {T}}}$ distribution in the control region for data and from background estimations before the fit to the data. The misID backgrounds are derived from data, whereas the remaining backgrounds are estimated from simulation. All events with photon $ {p_{\mathrm {T}}} > $ 200 GeV are included in the last bin. The hatched bands represent the combined statistical and systematical uncertainties on the predicted yields. The bottom panels show the ratios of the data to the predicted yields.

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Figure 3:
The 2D distributions used in the fit for the inclusive EW W$\gamma$ cross section measurement. The hatched bands represent the systematic uncertainties on the predicted yields. The predicted yields are shown with their best-fit normalizations.

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Figure 3-a:
The 2D distributions used in the fit for the inclusive EW W$\gamma$ cross section measurement. The hatched bands represent the systematic uncertainties on the predicted yields. The predicted yields are shown with their best-fit normalizations.

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Figure 3-b:
The 2D distributions used in the fit for the inclusive EW W$\gamma$ cross section measurement. The hatched bands represent the systematic uncertainties on the predicted yields. The predicted yields are shown with their best-fit normalizations.

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Figure 4:
Differential cross sections for the EW W$\gamma$jj production. Given that the ranges of some variables extend to infinity, the last bins accommodate all the events up to infinity as marked by the bin label, but the bin widths that are used as the denominator are finite and are (110, 400) GeV for ${{p_{\mathrm {T}}} ^{\text {lep1}}}$, (170 200) GeV for ${{p_{\mathrm {T}}} ^{\gamma}}$, (160, 1000) GeV for $m_{\text {l}\gamma}$, (250, 500) GeV for ${{p_{\mathrm {T}}} ^{\text {j1}}}$ and (1500, 2000) GeV for $m_{\text {jj}}$. The blue bands stand for the systematic uncertainties and the black bands include the total uncertainties.

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Figure 4-a:
Differential cross sections for the EW W$\gamma$jj production. Given that the ranges of some variables extend to infinity, the last bins accommodate all the events up to infinity as marked by the bin label, but the bin widths that are used as the denominator are finite and are (110, 400) GeV for ${{p_{\mathrm {T}}} ^{\text {lep1}}}$, (170 200) GeV for ${{p_{\mathrm {T}}} ^{\gamma}}$, (160, 1000) GeV for $m_{\text {l}\gamma}$, (250, 500) GeV for ${{p_{\mathrm {T}}} ^{\text {j1}}}$ and (1500, 2000) GeV for $m_{\text {jj}}$. The blue bands stand for the systematic uncertainties and the black bands include the total uncertainties.

png pdf
Figure 4-b:
Differential cross sections for the EW W$\gamma$jj production. Given that the ranges of some variables extend to infinity, the last bins accommodate all the events up to infinity as marked by the bin label, but the bin widths that are used as the denominator are finite and are (110, 400) GeV for ${{p_{\mathrm {T}}} ^{\text {lep1}}}$, (170 200) GeV for ${{p_{\mathrm {T}}} ^{\gamma}}$, (160, 1000) GeV for $m_{\text {l}\gamma}$, (250, 500) GeV for ${{p_{\mathrm {T}}} ^{\text {j1}}}$ and (1500, 2000) GeV for $m_{\text {jj}}$. The blue bands stand for the systematic uncertainties and the black bands include the total uncertainties.

png pdf
Figure 4-c:
Differential cross sections for the EW W$\gamma$jj production. Given that the ranges of some variables extend to infinity, the last bins accommodate all the events up to infinity as marked by the bin label, but the bin widths that are used as the denominator are finite and are (110, 400) GeV for ${{p_{\mathrm {T}}} ^{\text {lep1}}}$, (170 200) GeV for ${{p_{\mathrm {T}}} ^{\gamma}}$, (160, 1000) GeV for $m_{\text {l}\gamma}$, (250, 500) GeV for ${{p_{\mathrm {T}}} ^{\text {j1}}}$ and (1500, 2000) GeV for $m_{\text {jj}}$. The blue bands stand for the systematic uncertainties and the black bands include the total uncertainties.

png pdf
Figure 4-d:
Differential cross sections for the EW W$\gamma$jj production. Given that the ranges of some variables extend to infinity, the last bins accommodate all the events up to infinity as marked by the bin label, but the bin widths that are used as the denominator are finite and are (110, 400) GeV for ${{p_{\mathrm {T}}} ^{\text {lep1}}}$, (170 200) GeV for ${{p_{\mathrm {T}}} ^{\gamma}}$, (160, 1000) GeV for $m_{\text {l}\gamma}$, (250, 500) GeV for ${{p_{\mathrm {T}}} ^{\text {j1}}}$ and (1500, 2000) GeV for $m_{\text {jj}}$. The blue bands stand for the systematic uncertainties and the black bands include the total uncertainties.

png pdf
Figure 4-e:
Differential cross sections for the EW W$\gamma$jj production. Given that the ranges of some variables extend to infinity, the last bins accommodate all the events up to infinity as marked by the bin label, but the bin widths that are used as the denominator are finite and are (110, 400) GeV for ${{p_{\mathrm {T}}} ^{\text {lep1}}}$, (170 200) GeV for ${{p_{\mathrm {T}}} ^{\gamma}}$, (160, 1000) GeV for $m_{\text {l}\gamma}$, (250, 500) GeV for ${{p_{\mathrm {T}}} ^{\text {j1}}}$ and (1500, 2000) GeV for $m_{\text {jj}}$. The blue bands stand for the systematic uncertainties and the black bands include the total uncertainties.

png pdf
Figure 4-f:
Differential cross sections for the EW W$\gamma$jj production. Given that the ranges of some variables extend to infinity, the last bins accommodate all the events up to infinity as marked by the bin label, but the bin widths that are used as the denominator are finite and are (110, 400) GeV for ${{p_{\mathrm {T}}} ^{\text {lep1}}}$, (170 200) GeV for ${{p_{\mathrm {T}}} ^{\gamma}}$, (160, 1000) GeV for $m_{\text {l}\gamma}$, (250, 500) GeV for ${{p_{\mathrm {T}}} ^{\text {j1}}}$ and (1500, 2000) GeV for $m_{\text {jj}}$. The blue bands stand for the systematic uncertainties and the black bands include the total uncertainties.

png pdf
Figure 5:
Differential cross sections for the W$\gamma$jj production. Given that the ranges of some variables extend to infinity, the last bins accommodate all the events up to infinity as marked by the bin label, but the bin widths that are used as the denominator are finite and are (110, 400) GeV for ${{p_{\mathrm {T}}} ^{\text {lep1}}}$, (170 200) GeV for ${{p_{\mathrm {T}}} ^{\gamma}}$, (160, 1000) GeV for $m_{\text {l}\gamma}$, (250, 500) GeV for ${{p_{\mathrm {T}}} ^{\text {j1}}}$ and (1500, 2000) GeV for $m_{\text {jj}}$. The blue bands stand for the systematic uncertainties and the black bands include the total uncertainties.

png pdf
Figure 5-a:
Differential cross sections for the W$\gamma$jj production. Given that the ranges of some variables extend to infinity, the last bins accommodate all the events up to infinity as marked by the bin label, but the bin widths that are used as the denominator are finite and are (110, 400) GeV for ${{p_{\mathrm {T}}} ^{\text {lep1}}}$, (170 200) GeV for ${{p_{\mathrm {T}}} ^{\gamma}}$, (160, 1000) GeV for $m_{\text {l}\gamma}$, (250, 500) GeV for ${{p_{\mathrm {T}}} ^{\text {j1}}}$ and (1500, 2000) GeV for $m_{\text {jj}}$. The blue bands stand for the systematic uncertainties and the black bands include the total uncertainties.

png pdf
Figure 5-b:
Differential cross sections for the W$\gamma$jj production. Given that the ranges of some variables extend to infinity, the last bins accommodate all the events up to infinity as marked by the bin label, but the bin widths that are used as the denominator are finite and are (110, 400) GeV for ${{p_{\mathrm {T}}} ^{\text {lep1}}}$, (170 200) GeV for ${{p_{\mathrm {T}}} ^{\gamma}}$, (160, 1000) GeV for $m_{\text {l}\gamma}$, (250, 500) GeV for ${{p_{\mathrm {T}}} ^{\text {j1}}}$ and (1500, 2000) GeV for $m_{\text {jj}}$. The blue bands stand for the systematic uncertainties and the black bands include the total uncertainties.

png pdf
Figure 5-c:
Differential cross sections for the W$\gamma$jj production. Given that the ranges of some variables extend to infinity, the last bins accommodate all the events up to infinity as marked by the bin label, but the bin widths that are used as the denominator are finite and are (110, 400) GeV for ${{p_{\mathrm {T}}} ^{\text {lep1}}}$, (170 200) GeV for ${{p_{\mathrm {T}}} ^{\gamma}}$, (160, 1000) GeV for $m_{\text {l}\gamma}$, (250, 500) GeV for ${{p_{\mathrm {T}}} ^{\text {j1}}}$ and (1500, 2000) GeV for $m_{\text {jj}}$. The blue bands stand for the systematic uncertainties and the black bands include the total uncertainties.

png pdf
Figure 5-d:
Differential cross sections for the W$\gamma$jj production. Given that the ranges of some variables extend to infinity, the last bins accommodate all the events up to infinity as marked by the bin label, but the bin widths that are used as the denominator are finite and are (110, 400) GeV for ${{p_{\mathrm {T}}} ^{\text {lep1}}}$, (170 200) GeV for ${{p_{\mathrm {T}}} ^{\gamma}}$, (160, 1000) GeV for $m_{\text {l}\gamma}$, (250, 500) GeV for ${{p_{\mathrm {T}}} ^{\text {j1}}}$ and (1500, 2000) GeV for $m_{\text {jj}}$. The blue bands stand for the systematic uncertainties and the black bands include the total uncertainties.

png pdf
Figure 5-e:
Differential cross sections for the W$\gamma$jj production. Given that the ranges of some variables extend to infinity, the last bins accommodate all the events up to infinity as marked by the bin label, but the bin widths that are used as the denominator are finite and are (110, 400) GeV for ${{p_{\mathrm {T}}} ^{\text {lep1}}}$, (170 200) GeV for ${{p_{\mathrm {T}}} ^{\gamma}}$, (160, 1000) GeV for $m_{\text {l}\gamma}$, (250, 500) GeV for ${{p_{\mathrm {T}}} ^{\text {j1}}}$ and (1500, 2000) GeV for $m_{\text {jj}}$. The blue bands stand for the systematic uncertainties and the black bands include the total uncertainties.

png pdf
Figure 5-f:
Differential cross sections for the W$\gamma$jj production. Given that the ranges of some variables extend to infinity, the last bins accommodate all the events up to infinity as marked by the bin label, but the bin widths that are used as the denominator are finite and are (110, 400) GeV for ${{p_{\mathrm {T}}} ^{\text {lep1}}}$, (170 200) GeV for ${{p_{\mathrm {T}}} ^{\gamma}}$, (160, 1000) GeV for $m_{\text {l}\gamma}$, (250, 500) GeV for ${{p_{\mathrm {T}}} ^{\text {j1}}}$ and (1500, 2000) GeV for $m_{\text {jj}}$. The blue bands stand for the systematic uncertainties and the black bands include the total uncertainties.

png pdf
Figure 6:
${m_{{\mathrm{W} \gamma} }}$ distribution for events satisfying the aQGC region selection used to set constraints on the anomalous coupling parameters (left). The gray line represents a nonzero ${f_{\text {M,2}}/\Lambda ^{4}}$ setting. Events with $ {m_{{\mathrm{W} \gamma} }} > $ 1500 GeV are included in the last bin. The hatched bands represent the statistical uncertainties in the predicted yields. Likelihood scan and expected 95% CL interval for the aQGC parameter ${f_{\text {M,2}}/\Lambda ^{4}}$ (right).

png pdf
Figure 6-a:
${m_{{\mathrm{W} \gamma} }}$ distribution for events satisfying the aQGC region selection used to set constraints on the anomalous coupling parameters (left). The gray line represents a nonzero ${f_{\text {M,2}}/\Lambda ^{4}}$ setting. Events with $ {m_{{\mathrm{W} \gamma} }} > $ 1500 GeV are included in the last bin. The hatched bands represent the statistical uncertainties in the predicted yields. Likelihood scan and expected 95% CL interval for the aQGC parameter ${f_{\text {M,2}}/\Lambda ^{4}}$ (right).

png pdf
Figure 6-b:
${m_{{\mathrm{W} \gamma} }}$ distribution for events satisfying the aQGC region selection used to set constraints on the anomalous coupling parameters (left). The gray line represents a nonzero ${f_{\text {M,2}}/\Lambda ^{4}}$ setting. Events with $ {m_{{\mathrm{W} \gamma} }} > $ 1500 GeV are included in the last bin. The hatched bands represent the statistical uncertainties in the predicted yields. Likelihood scan and expected 95% CL interval for the aQGC parameter ${f_{\text {M,2}}/\Lambda ^{4}}$ (right).
Summary
The cross section for the electroweak production of a W boson, a photon, and two jets in proton-proton collisions at a center-of-mass energy of 13 TeV is studied. The data correspond to an integrated luminosity of 138 fb$^{-1}$ collected with the CMS detector. Events are selected by requiring one high-${p_{\mathrm{T}}}$ isolated lepton (electron or muon), a moderate missing transverse momentum, one high-${p_{\mathrm{T}}}$ isolated photon, and two jets with a large rapidity separation and a large dijet mass. The observed significance is 6.0 standard deviations, where a significance of 6.8 standard deviations is expected based on standard model predictions. The cross section for the electroweak W$\gamma$jj production in a restricted fiducial region is 19.2 $\pm$ 4.0 fb and the cross section for the total W$\gamma$jj production in the same fiducial region is 90 $\pm$ 11 fb. Both measurements are consistent with standard model predictions. For the first time, differential cross sections for the EW W$\gamma$jj and for the EW+QCD W$\gamma$jj production are measured. Constraints placed on anomalous quartic gauge couplings in terms of dimension-8 effective field theory operators are extracted and found to be competitive with previous results.
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Compact Muon Solenoid
LHC, CERN