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CMS-PAS-SMP-19-012
Measurements of production cross sections of same-sign WW and WZ boson pairs in association with two jets in proton-proton collisions at $\sqrt{s} =$ 13 TeV
Abstract: Measurements of production cross sections of same-sign WW and WZ boson pairs in association with two jets in proton-proton collisions at $\sqrt{s} =$ 13 TeV at the LHC are reported. The data sample corresponds to an integrated luminosity of 137 fb$^{-1}$ collected with the CMS detector during 2016-18. The measurements are performed in the leptonic decay modes $\mathrm{W}\mathrm{W} \to \ell^\pm\nu\ell'^\pm\nu$ and $\mathrm{W}\mathrm{Z} \to \ell\nu\ell'\ell'$, where $\ell, \ell' = $ e, $\mu$. Differential fiducial cross sections of the invariant masses of the jet and lepton pairs, as well as the leading-lepton transverse momentum are measured for WW production and found to be consistent with standard model predictions. Differential fiducial cross sections of the invariant mass of the jet pair are also measured for WZ production. An observation of electroweak production of WZ boson pairs is reported, with an observed (expected) significance of 6.8 (5.3) standard deviations. Constraints are obtained on the structure of quartic vector boson interactions in the framework of effective theory.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Illustrative Feynman diagrams of a VBS process contributing to the EW-induced production of events containing $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ (left) and WZ (right) boson pairs decaying to leptons, and two forward jets. New physics (represented by a black circle) in the EW sector can modify the quartic gauge couplings.

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Figure 1-a:
Illustrative Feynman diagram of a VBS process contributing to the EW-induced production of events containing a $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ boson pair decaying to leptons, and two forward jets. New physics (represented by a black circle) in the EW sector can modify the quartic gauge couplings.

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Figure 1-b:
Illustrative Feynman diagram of a VBS process contributing to the EW-induced production of events containing a WZ boson pair decaying to leptons, and two forward jets. New physics (represented by a black circle) in the EW sector can modify the quartic gauge couplings.

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Figure 2:
Distributions of $ {m_{{\mathrm {j}} {\mathrm {j}}}} $ (upper left) and $ {m_{\ell \ell}} $ (upper right) in the $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ SR, and the distributions of $ {m_{{\mathrm {j}} {\mathrm {j}}}} $ (lower left) and BDT score (lower right) in the WZ SR. The predicted yields are shown with their best-fit normalizations from the simultaneous fit. The overflow is included in the last bin. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total SM prediction. The gray bands represent the uncertainties from the predicted yields.

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Figure 2-a:
Distribution of $ {m_{{\mathrm {j}} {\mathrm {j}}}} $ in the $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ SR. The predicted yields are shown with their best-fit normalizations from the simultaneous fit. The overflow is included in the last bin. The bottom panel shows the ratio of the number of events observed in data to that of the total SM prediction. The gray bands represent the uncertainties from the predicted yields.

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Figure 2-b:
Distribution of $ {m_{\ell \ell}} $ in the $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ SR. The predicted yields are shown with their best-fit normalizations from the simultaneous fit. The overflow is included in the last bin. The bottom panel shows the ratio of the number of events observed in data to that of the total SM prediction. The gray bands represent the uncertainties from the predicted yields.

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Figure 2-c:
Distribution of $ {m_{{\mathrm {j}} {\mathrm {j}}}} $ in the WZ SR. The predicted yields are shown with their best-fit normalizations from the simultaneous fit. The overflow is included in the last bin. The bottom panel shows the ratio of the number of events observed in data to that of the total SM prediction. The gray bands represent the uncertainties from the predicted yields.

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Figure 2-d:
Distribution of the BDT score in the WZ SR. The predicted yields are shown with their best-fit normalizations from the simultaneous fit. The overflow is included in the last bin. The bottom panel shows the ratio of the number of events observed in data to that of the total SM prediction. The gray bands represent the uncertainties from the predicted yields.

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Figure 3:
The measured absolute (left) and normalized (right) $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ fiducial cross section measurements in bins of $ {m_{{\mathrm {j}} {\mathrm {j}}}} $ (upper), $ {m_{\ell \ell}} $ (middle), and $ {p_{\mathrm {T}}} ^{\mathrm {max}}$ (lower). The ratios of the predictions to the data are also shown. The measurements are compared to the predictions from MadGraph 5_aMC@NLO at LO. The shaded bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The MadGraph 5_aMC@NLO predictions including the $\mathcal {O}({\alpha _S} \alpha ^6)$ and $\mathcal {O}(\alpha ^7)$ corrections on the EW $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ process are also shown (dashed blue).

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Figure 3-a:
The measured absolute $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ fiducial cross section measurements in bins of $ {m_{{\mathrm {j}} {\mathrm {j}}}} $. The ratio of the predictions to the data is also shown. The measurements are compared to the predictions from MadGraph 5_aMC@NLO at LO. The shaded bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The MadGraph 5_aMC@NLO predictions including the $\mathcal {O}({\alpha _S} \alpha ^6)$ and $\mathcal {O}(\alpha ^7)$ corrections on the EW $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ process are also shown (dashed blue).

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Figure 3-b:
The measured normalized $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ fiducial cross section measurements in bins of $ {m_{{\mathrm {j}} {\mathrm {j}}}} $. The ratio of the predictions to the data is also shown. The measurements are compared to the predictions from MadGraph 5_aMC@NLO at LO. The shaded bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The MadGraph 5_aMC@NLO predictions including the $\mathcal {O}({\alpha _S} \alpha ^6)$ and $\mathcal {O}(\alpha ^7)$ corrections on the EW $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ process are also shown (dashed blue).

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Figure 3-c:
The measured absolute $ {m_{\ell \ell}} $. The ratio of the predictions to the data is also shown. The measurements are compared to the predictions from MadGraph 5_aMC@NLO at LO. The shaded bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The MadGraph 5_aMC@NLO predictions including the $\mathcal {O}({\alpha _S} \alpha ^6)$ and $\mathcal {O}(\alpha ^7)$ corrections on the EW $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ process are also shown (dashed blue).

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Figure 3-d:
The measured normalized $ {m_{\ell \ell}} $. The ratio of the predictions to the data is also shown. The measurements are compared to the predictions from MadGraph 5_aMC@NLO at LO. The shaded bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The MadGraph 5_aMC@NLO predictions including the $\mathcal {O}({\alpha _S} \alpha ^6)$ and $\mathcal {O}(\alpha ^7)$ corrections on the EW $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ process are also shown (dashed blue).

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Figure 3-e:
The measured absolute $ {p_{\mathrm {T}}} ^{\mathrm {max}}$. The ratio of the predictions to the data is also shown. The measurements are compared to the predictions from MadGraph 5_aMC@NLO at LO. The shaded bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The MadGraph 5_aMC@NLO predictions including the $\mathcal {O}({\alpha _S} \alpha ^6)$ and $\mathcal {O}(\alpha ^7)$ corrections on the EW $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ process are also shown (dashed blue).

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Figure 3-f:
The measured normalized $ {p_{\mathrm {T}}} ^{\mathrm {max}}$. The ratio of the predictions to the data is also shown. The measurements are compared to the predictions from MadGraph 5_aMC@NLO at LO. The shaded bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The MadGraph 5_aMC@NLO predictions including the $\mathcal {O}({\alpha _S} \alpha ^6)$ and $\mathcal {O}(\alpha ^7)$ corrections on the EW $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ process are also shown (dashed blue).

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Figure 4:
The measured absolute (left) and normalized (right) WZ fiducial cross section measurements in bins of $ {m_{{\mathrm {j}} {\mathrm {j}}}} $. The shaded bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The ratios of the predictions to the data are also shown. The measurement is compared to the predictions from MadGraph 5_aMC@NLO at LOThe MadGraph 5_aMC@NLO predictions including the $\mathcal {O}({\alpha _S} \alpha ^6)$ and $\mathcal {O}(\alpha ^7)$ corrections on the EW WZ process are shown (dark cyan). The MadGraph 5_aMC@NLO predictions for the EW total fiducial cross sections are also shown (dashed blue).

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Figure 4-a:
The measured absolute WZ fiducial cross section measurements in bins of $ {m_{{\mathrm {j}} {\mathrm {j}}}} $. The shaded bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The ratios of the predictions to the data are also shown. The measurement is compared to the predictions from MadGraph 5_aMC@NLO at LOThe MadGraph 5_aMC@NLO predictions including the $\mathcal {O}({\alpha _S} \alpha ^6)$ and $\mathcal {O}(\alpha ^7)$ corrections on the EW WZ process are shown (dark cyan). The MadGraph 5_aMC@NLO predictions for the EW total fiducial cross sections are also shown (dashed blue).

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Figure 4-b:
The measured normalized WZ fiducial cross section measurements in bins of $ {m_{{\mathrm {j}} {\mathrm {j}}}} $. The shaded bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The ratios of the predictions to the data are also shown. The measurement is compared to the predictions from MadGraph 5_aMC@NLO at LOThe MadGraph 5_aMC@NLO predictions including the $\mathcal {O}({\alpha _S} \alpha ^6)$ and $\mathcal {O}(\alpha ^7)$ corrections on the EW WZ process are shown (dark cyan). The MadGraph 5_aMC@NLO predictions for the EW total fiducial cross sections are also shown (dashed blue).

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Figure 5:
Distributions of $ {m_{\mathrm {T}}} (\mathrm{W} \mathrm{W})$ (left) in the $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ SR and $ {m_{\mathrm {T}}} (\mathrm{W} \mathrm{Z})$ (right) in the WZ SR. The gray bands include uncertainties from the predicted yields. The SM predicted yields are shown with their best-fit normalizations from the corresponding fits. The overflow is included in the last bin. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total SM prediction. The solid lines show the signal predictions for two aQGC parameters.

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Figure 5-a:
Distribution of $ {m_{\mathrm {T}}} (\mathrm{W} \mathrm{W})$ in the $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ SR. The gray bands include uncertainties from the predicted yields. The SM predicted yields are shown with their best-fit normalizations from the corresponding fits. The overflow is included in the last bin. The bottom panel shows the ratio of the number of events observed in data to that of the total SM prediction. The solid lines show the signal predictions for two aQGC parameters.

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Figure 5-b:
Distribution of $ {m_{\mathrm {T}}} (\mathrm{W} \mathrm{Z})$ in the WZ SR. The gray bands include uncertainties from the predicted yields. The SM predicted yields are shown with their best-fit normalizations from the corresponding fits. The overflow is included in the last bin. The bottom panel shows the ratio of the number of events observed in data to that of the total SM prediction. The solid lines show the signal predictions for two aQGC parameters.
Tables

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Table 1:
Summary of the selection requirements defining the $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ and WZ SRs. The looser lepton $ {p_{\mathrm {T}}} $ requirement on the WZ selection refers to the trailing lepton from the Z boson decays.

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Table 2:
Relative systematic uncertainties in the EW $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ and WZ fiducial cross section measurements in units of percent.

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Table 3:
The list and detailed description of all the input variables used in the BDT analysis.

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Table 4:
Expected yields from various SM processes and observed data events in $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ and WZ SRs. The combination of the statistical and systematic uncertainties are shown. The expected yields are shown before the fit to the data (pre-fit) and with their best-fit normalizations from the simultaneous fit (post-fit). The pre-fit uncertainties consider the expected values before the simultaneous fit to the data.

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Table 5:
The measured inclusive fiducial cross sections for the EW $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $, EW+QCD $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $, EW WZ, EW+QCD WZ, and QCD WZ processes and the theory predictions with $MadGraph 5_aMC@NLO $ at LO. EW processes including the corresponding interference contributions. The theoretical uncertainties include statistical, PDF, and scale uncertainties. The MadGraph 5_aMC@NLO predictions including the $\mathcal {O}({\alpha _S} \alpha ^6)$ and $\mathcal {O}(\alpha ^7)$ corrections on the EW $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ and WZ processes are also shown. The predictions of the QCD $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ and WZ processes do not include additional corrections. All reported values are in fb.

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Table 6:
Observed and expected lower and upper 95% CL limits on the parameters of the quartic operators T0, T1, T2, M0, M1, M6, M7, S0, and S1 in $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ and WZ channels, obtained without using any unitarization procedure. The last two columns show the observed and expected limits for the combination of the $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ and WZ channels.

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Table 7:
Observed and expected lower and upper 95% CL limits on the parameters of the quartic operators T0, T1, T2, M0, M1, M6, M7, S0, and S1 in $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ and WZ channels by cutting the EFT expansion at the unitarity limit. The last two columns show the observed and expected limits for the combination of the $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ and WZ channels.
Summary
Measurements of production cross sections of same-sign ${\mathrm{W}^\pm\mathrm{W}^\pm} $ and ${\mathrm{W}\mathrm{Z}} $ boson pairs in association with two jets in proton-proton collisions at a center-of-mass energy of 13 TeV were reported. The data sample corresponds to an integrated luminosity of 137 fb$^{-1}$ collected with the CMS detector during 2016-18. The measurements are performed in the leptonic decay modes ${\mathrm{W}^\pm\mathrm{W}^\pm} \to \ell^\pm\nu\ell'^\pm\nu$ and ${\mathrm{W}\mathrm{Z}} \to \ell\nu\ell'\ell'$, where $\ell, \ell' = $ e, $\mu$. An observation of electroweak production of WZ boson pairs is reported with an observed (expected) significance of 6.8 (5.3) standard deviations. Differential fiducial cross sections of the invariant masses of the jet and lepton pairs as well as the leading lepton transverse momentum are measured for the ${\mathrm{W}^\pm\mathrm{W}^\pm} $ production and found to be consistent with standard model predictions. The differential fiducial cross section of the invariant mass of the jet pair is also measured for the WZ production. Constraints are set, with and without consideration of the tree level unitarity violation, on the structure of quartic vector boson interactions in the framework of the effective field theory. Stringent limits on the dimension-8 operators T0, T1, T2, M0, M1, M6, M7, S0, and S1 are set, including considerations of the tree level unitarity violation.
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