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CMS-PAS-SMP-18-007
Measurement of electroweak production of Z$\gamma$ in association with two jets in proton-proton collisions at $\sqrt{s}$ = 13 TeV
Abstract: A measurement of electroweak production of a Z boson and a photon in association with two jets in proton-proton collisions is presented. The Z boson candidates are selected through their decay into a pair of electrons or muons. The electroweak production of the Z$\gamma$jj final state is isolated by selecting events with a large dijet mass and a large rapidity gap between the two jets. The measurement is based on data collected with the CMS detector in 2016 at a center-of-mass energy of 13 TeV corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The observed significance of the signal is 3.9 standard deviations, where a significance of 5.2 standard deviations is expected based on the standard model. The results are combined with previously published CMS results based on $\sqrt{s}=$ 8 TeV data, which leads to an observed (expected) significance of 4.7 (5.5) standard deviations. A cross section measurement in a fiducial region is reported. Bounds are given on quartic vector boson interactions in the framework of dimension-8 effective field theory operators.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Representative diagrams for EW and QCD Z$\gamma $jj production at the LHC. (a)-(e) are EW diagrams: (a) bremsstrahlung, (b) multiperipheral, (c,d) VBF with TGC, and (e) VBS including QGC. (f) is a QCD diagram.

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Figure 2:
The $m_{\text {jj}}$ distributions measured in the (left) dimuon plus barrel photon and (right) dielectron plus barrel photon categories. The data (solid symbols with error bars representing the statistical uncertainties) are compared to a data-driven background estimation, combined with MC predictions. The hatched bands represent the statistical uncertainty of the combined prediction of the signal and all of the backgrounds. The last bin includes overflow events.

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Figure 2-a:
The $m_{\text {jj}}$ distributions measured in the dimuon plus barrel photon category. The data (solid symbols with error bars representing the statistical uncertainties) are compared to a data-driven background estimation, combined with MC predictions. The hatched bands represent the statistical uncertainty of the combined prediction of the signal and all of the backgrounds. The last bin includes overflow events.

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Figure 2-b:
The $m_{\text {jj}}$ distributions measured in the dielectron plus barrel photon category. The data (solid symbols with error bars representing the statistical uncertainties) are compared to a data-driven background estimation, combined with MC predictions. The hatched bands represent the statistical uncertainty of the combined prediction of the signal and all of the backgrounds. The last bin includes overflow events.

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Figure 3:
The post-fit 2D distribution region in the dimuon plus barrel photon category (left) and the dielectron plus barrel photon category (right). The data (solid symbols with error bars representing the statistical uncertainties) are compared to the prediction in the signal region. The hashed bands represent the full uncertainties.

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Figure 3-a:
The post-fit 2D distribution region in the dimuon plus barrel photon category. The data (solid symbols with error bars representing the statistical uncertainties) are compared to the prediction in the signal region. The hashed bands represent the full uncertainties.

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Figure 3-b:
The post-fit 2D distribution region in the dielectron plus barrel photon category. The data (solid symbols with error bars representing the statistical uncertainties) are compared to the prediction in the signal region. The hashed bands represent the full uncertainties.

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Figure 4:
The $m_{Z\gamma}$ distribution of events satisfying the aQGC region selection, which is used to set constraints on the anomalous coupling parameters. The red line represents a nonzero $F_{\text {T,8}}$ setting, which would significantly enhance the yields at high $m_{Z\gamma}$. The last bin includes overflow. The hatched bands represent the total uncertainties of the predictions.

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Figure 5:
Observed (left) and expected (right) 95% CL intervals on aQGC parameter $F_{\text {T,8}}$.

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Figure 5-a:
Observed 95% CL interval on aQGC parameter $F_{\text {T,8}}$.

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Figure 5-b:
Expected 95% CL interval on aQGC parameter $F_{\text {T,8}}$.
Tables

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Table 1:
Summary of four different event selection criteria: (1) Common event selection; (2) Selection for the control region; (3) selection for the EW signal extraction; (4) selection for the fiducial cross section measurement; (5) selection for the aQGC search. "j1" and "j2" represent the jets that have the largest and second-largest $p_T$, "l1" and "l2" denote the selected leptons, and the angular separation $\Delta R = \sqrt {(\Delta \eta)^2 + (\Delta \phi)^2}$.

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Table 2:
The dominant systematic uncertainties in the signal extraction measurement.

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Table 3:
Expected signal and background yields and observed data event counts after the final selection for the EW signal search. The statistical and systematic uncertainties are added in quadrature.

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Table 4:
95% C.L. Z$\gamma $ shape-based exclusion limits listed for each aQGC parameter. The unitarity bounds are also listed. All coupling parameter limits are in units of TeV$^{-4}$, while the unitarity bounds are in units of TeV. No form factor is applied.
Summary
In this paper, we have presented a measurement of vector boson scattering in the Z$\gamma$ final state. The data sample corresponds to an integrated luminosity of 35.9 fb$^{-1}$ collected at $\sqrt{s}=$ 13 TeV with the CMS detector. Events are selected by requiring exactly two identified leptons along with two jets that have a large rapidity separation and a large dijet mass. The observed signal significance for the 2016 dataset is 3.9 standard deviations, where a significance of 5.2 standard deviations is expected based on the standard model. When this new result is combined with 8 TeV CMS results, the observed (expected) significance is 4.7 (5.5). The best-fit electroweak (EW) Z$\gamma$jj signal strength in the fiducial region is $\mu_{\text{EW}} = $ 0.64$^{+0.23}_{-0.21}$, corresponding to a fiducial cross section of 3.20 $\pm$ 1.15 fb. The best-fit signal strength of EW + quantum chromodynamics (QCD) Z$\gamma$jj in the fiducial region is $\mu_{\text{EW+QCD}} = $ 0.96$^{+0.15}_{-0.13}$, corresponding to a fiducial cross section 15.07 $\pm$ 2.40 fb. Constraints are placed on anomalous quartic gauge couplings in terms of dimension-eight effective field theory operators and the results are competitive or more stringent than previous constraints.
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Compact Muon Solenoid
LHC, CERN