CMSHIG22008 ; CERNEP2024035  
Constraints on anomalous Higgs boson couplings from its production and decay using the WW channel in protonproton collisions at $ \sqrt{s} = $ 13 TeV  
CMS Collaboration  
1 March 2024  
EPJC 84 (2024) 779  
Abstract: A study of the anomalous couplings of the Higgs boson to vector bosons, including CPviolation effects, has been conducted using its production and decay in the WW channel. This analysis is performed on protonproton collision data collected with the CMS detector at the CERN LHC during 20162018 at a centerofmass energy of 13 TeV, and corresponds to an integrated luminosity of 138 fb$ ^{1} $. The differentflavor dilepton ($ \mathrm{e}\mu $) final state is analyzed, with dedicated categories targeting gluon fusion, electroweak vector boson fusion, and associated production with a W or Z boson. Kinematic information from associated jets is combined using matrix element techniques to increase the sensitivity to anomalous effects at the production vertex. A simultaneous measurement of four Higgs boson couplings to electroweak vector bosons is performed in the framework of a standard model effective field theory. All measurements are consistent with the expectations for the standard model Higgs boson and constraints are set on the fractional contribution of the anomalous couplings to the Higgs boson production cross section.  
Links: eprint arXiv:2403.00657 [hepex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; CADI line (restricted) ; 
Figures  
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Figure 1:
Topologies of the Higgs boson production and decay for vector boson fusion $ \mathrm{q}{\mathrm{q}^\prime}\to \mathrm{q}{\mathrm{q}^\prime} \mathrm{H} $ (left), $ \mathrm{q}\bar{\mathrm{q}}^\prime\to \mathrm{V}\mathrm{H} $ (center), and gluon fusion with decay $ \mathrm{g}\mathrm{g} \to \mathrm{H} \to 2 \ell 2\nu $ (right). For the electroweak production topologies, the intermediate vector bosons and their decays are shown in green and the $ \mathrm{H} \to \mathrm{W}\mathrm{W} $ decay is marked in red. For the $ \mathrm{g}\mathrm{g} \to \mathrm{H} \to 2 \ell 2\nu $ topology, the W boson leptonic decays are shown in green. In all cases, the incoming particles are depicted in brown and the angles characterizing kinematic distributions are marked in blue. Five angles fully characterize the orientation of the production and decay chain and are defined in the suitable rest frames. 
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Figure 1a:
Topologies of the Higgs boson production and decay for vector boson fusion $ \mathrm{q}{\mathrm{q}^\prime}\to \mathrm{q}{\mathrm{q}^\prime} \mathrm{H} $ (left), $ \mathrm{q}\bar{\mathrm{q}}^\prime\to \mathrm{V}\mathrm{H} $ (center), and gluon fusion with decay $ \mathrm{g}\mathrm{g} \to \mathrm{H} \to 2 \ell 2\nu $ (right). For the electroweak production topologies, the intermediate vector bosons and their decays are shown in green and the $ \mathrm{H} \to \mathrm{W}\mathrm{W} $ decay is marked in red. For the $ \mathrm{g}\mathrm{g} \to \mathrm{H} \to 2 \ell 2\nu $ topology, the W boson leptonic decays are shown in green. In all cases, the incoming particles are depicted in brown and the angles characterizing kinematic distributions are marked in blue. Five angles fully characterize the orientation of the production and decay chain and are defined in the suitable rest frames. 
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Figure 1b:
Topologies of the Higgs boson production and decay for vector boson fusion $ \mathrm{q}{\mathrm{q}^\prime}\to \mathrm{q}{\mathrm{q}^\prime} \mathrm{H} $ (left), $ \mathrm{q}\bar{\mathrm{q}}^\prime\to \mathrm{V}\mathrm{H} $ (center), and gluon fusion with decay $ \mathrm{g}\mathrm{g} \to \mathrm{H} \to 2 \ell 2\nu $ (right). For the electroweak production topologies, the intermediate vector bosons and their decays are shown in green and the $ \mathrm{H} \to \mathrm{W}\mathrm{W} $ decay is marked in red. For the $ \mathrm{g}\mathrm{g} \to \mathrm{H} \to 2 \ell 2\nu $ topology, the W boson leptonic decays are shown in green. In all cases, the incoming particles are depicted in brown and the angles characterizing kinematic distributions are marked in blue. Five angles fully characterize the orientation of the production and decay chain and are defined in the suitable rest frames. 
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Figure 1c:
Topologies of the Higgs boson production and decay for vector boson fusion $ \mathrm{q}{\mathrm{q}^\prime}\to \mathrm{q}{\mathrm{q}^\prime} \mathrm{H} $ (left), $ \mathrm{q}\bar{\mathrm{q}}^\prime\to \mathrm{V}\mathrm{H} $ (center), and gluon fusion with decay $ \mathrm{g}\mathrm{g} \to \mathrm{H} \to 2 \ell 2\nu $ (right). For the electroweak production topologies, the intermediate vector bosons and their decays are shown in green and the $ \mathrm{H} \to \mathrm{W}\mathrm{W} $ decay is marked in red. For the $ \mathrm{g}\mathrm{g} \to \mathrm{H} \to 2 \ell 2\nu $ topology, the W boson leptonic decays are shown in green. In all cases, the incoming particles are depicted in brown and the angles characterizing kinematic distributions are marked in blue. Five angles fully characterize the orientation of the production and decay chain and are defined in the suitable rest frames. 
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Figure 2:
The $ \mathcal{D}_{0} $ discriminant in the VBF (left) and Resolved VH (right) production channels for a number of VBF (left) and VH (right) signal hypotheses. Pure $ a_1 $ ($ f_{a3} = $ 0) and $ a_3 $ ($ f_{a3} = $ 1) HVV signal hypotheses are shown along with a mixed coupling hypothesis ($ f_{a3} = $ 0.5). All distributions are normalized to unity. 
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Figure 2a:
The $ \mathcal{D}_{0} $ discriminant in the VBF (left) and Resolved VH (right) production channels for a number of VBF (left) and VH (right) signal hypotheses. Pure $ a_1 $ ($ f_{a3} = $ 0) and $ a_3 $ ($ f_{a3} = $ 1) HVV signal hypotheses are shown along with a mixed coupling hypothesis ($ f_{a3} = $ 0.5). All distributions are normalized to unity. 
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Figure 2b:
The $ \mathcal{D}_{0} $ discriminant in the VBF (left) and Resolved VH (right) production channels for a number of VBF (left) and VH (right) signal hypotheses. Pure $ a_1 $ ($ f_{a3} = $ 0) and $ a_3 $ ($ f_{a3} = $ 1) HVV signal hypotheses are shown along with a mixed coupling hypothesis ($ f_{a3} = $ 0.5). All distributions are normalized to unity. 
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Figure 3:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0+}] $ in the VBF channel (upper), and for $ [m_{\ell\ell}, \mathcal{D}_{0+}] $ in the Resolved VH (lower left) and Boosted VH (lower right) channels. For the VBF channel, the $ \mathcal{D}_{\text{int}} < $ 0.4 (left) and $ \mathcal{D}_{\text{int}} > $ 0.4 (right) categories are shown. The predicted Higgs boson signal is shown stacked on top of the background distributions. For the fit, the $ a_{1} $ and $ a_2 $ HVV coupling contributions are included. The corresponding pure $ a_{1} $ ($ f_{a2} = $ 0) and $ a_2 $ ($ f_{a2} = $ 1) signal hypotheses are also shown superimposed, their yields correspond to the predicted number of SM signal events scaled by an arbitrary factor to improve visibility. The uncertainty band corresponds to the total systematic uncertainty. The lower panel in each figure shows the ratio of the number of events observed to the total prediction. 
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Figure 3a:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0+}] $ in the VBF channel (upper), and for $ [m_{\ell\ell}, \mathcal{D}_{0+}] $ in the Resolved VH (lower left) and Boosted VH (lower right) channels. For the VBF channel, the $ \mathcal{D}_{\text{int}} < $ 0.4 (left) and $ \mathcal{D}_{\text{int}} > $ 0.4 (right) categories are shown. The predicted Higgs boson signal is shown stacked on top of the background distributions. For the fit, the $ a_{1} $ and $ a_2 $ HVV coupling contributions are included. The corresponding pure $ a_{1} $ ($ f_{a2} = $ 0) and $ a_2 $ ($ f_{a2} = $ 1) signal hypotheses are also shown superimposed, their yields correspond to the predicted number of SM signal events scaled by an arbitrary factor to improve visibility. The uncertainty band corresponds to the total systematic uncertainty. The lower panel in each figure shows the ratio of the number of events observed to the total prediction. 
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Figure 3b:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0+}] $ in the VBF channel (upper), and for $ [m_{\ell\ell}, \mathcal{D}_{0+}] $ in the Resolved VH (lower left) and Boosted VH (lower right) channels. For the VBF channel, the $ \mathcal{D}_{\text{int}} < $ 0.4 (left) and $ \mathcal{D}_{\text{int}} > $ 0.4 (right) categories are shown. The predicted Higgs boson signal is shown stacked on top of the background distributions. For the fit, the $ a_{1} $ and $ a_2 $ HVV coupling contributions are included. The corresponding pure $ a_{1} $ ($ f_{a2} = $ 0) and $ a_2 $ ($ f_{a2} = $ 1) signal hypotheses are also shown superimposed, their yields correspond to the predicted number of SM signal events scaled by an arbitrary factor to improve visibility. The uncertainty band corresponds to the total systematic uncertainty. The lower panel in each figure shows the ratio of the number of events observed to the total prediction. 
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Figure 3c:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0+}] $ in the VBF channel (upper), and for $ [m_{\ell\ell}, \mathcal{D}_{0+}] $ in the Resolved VH (lower left) and Boosted VH (lower right) channels. For the VBF channel, the $ \mathcal{D}_{\text{int}} < $ 0.4 (left) and $ \mathcal{D}_{\text{int}} > $ 0.4 (right) categories are shown. The predicted Higgs boson signal is shown stacked on top of the background distributions. For the fit, the $ a_{1} $ and $ a_2 $ HVV coupling contributions are included. The corresponding pure $ a_{1} $ ($ f_{a2} = $ 0) and $ a_2 $ ($ f_{a2} = $ 1) signal hypotheses are also shown superimposed, their yields correspond to the predicted number of SM signal events scaled by an arbitrary factor to improve visibility. The uncertainty band corresponds to the total systematic uncertainty. The lower panel in each figure shows the ratio of the number of events observed to the total prediction. 
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Figure 3d:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0+}] $ in the VBF channel (upper), and for $ [m_{\ell\ell}, \mathcal{D}_{0+}] $ in the Resolved VH (lower left) and Boosted VH (lower right) channels. For the VBF channel, the $ \mathcal{D}_{\text{int}} < $ 0.4 (left) and $ \mathcal{D}_{\text{int}} > $ 0.4 (right) categories are shown. The predicted Higgs boson signal is shown stacked on top of the background distributions. For the fit, the $ a_{1} $ and $ a_2 $ HVV coupling contributions are included. The corresponding pure $ a_{1} $ ($ f_{a2} = $ 0) and $ a_2 $ ($ f_{a2} = $ 1) signal hypotheses are also shown superimposed, their yields correspond to the predicted number of SM signal events scaled by an arbitrary factor to improve visibility. The uncertainty band corresponds to the total systematic uncertainty. The lower panel in each figure shows the ratio of the number of events observed to the total prediction. 
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Figure 4:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0}] $ in the VBF channel (upper), and for $ [m_{\ell\ell}, \mathcal{D}_{0}] $ in the Resolved VH (middle) and Boosted VH (lower) channels. For each channel, the $ \mathcal{D}_{CP} < $ 0 (left) and $ \mathcal{D}_{CP} > $ 0 (right) categories are shown. For the fit, the $ a_{1} $ and $ a_3 $ HVV coupling contributions are included. More details are given in the caption of Fig. 3. 
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Figure 4a:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0}] $ in the VBF channel (upper), and for $ [m_{\ell\ell}, \mathcal{D}_{0}] $ in the Resolved VH (middle) and Boosted VH (lower) channels. For each channel, the $ \mathcal{D}_{CP} < $ 0 (left) and $ \mathcal{D}_{CP} > $ 0 (right) categories are shown. For the fit, the $ a_{1} $ and $ a_3 $ HVV coupling contributions are included. More details are given in the caption of Fig. 3. 
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Figure 4b:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0}] $ in the VBF channel (upper), and for $ [m_{\ell\ell}, \mathcal{D}_{0}] $ in the Resolved VH (middle) and Boosted VH (lower) channels. For each channel, the $ \mathcal{D}_{CP} < $ 0 (left) and $ \mathcal{D}_{CP} > $ 0 (right) categories are shown. For the fit, the $ a_{1} $ and $ a_3 $ HVV coupling contributions are included. More details are given in the caption of Fig. 3. 
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Figure 4c:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0}] $ in the VBF channel (upper), and for $ [m_{\ell\ell}, \mathcal{D}_{0}] $ in the Resolved VH (middle) and Boosted VH (lower) channels. For each channel, the $ \mathcal{D}_{CP} < $ 0 (left) and $ \mathcal{D}_{CP} > $ 0 (right) categories are shown. For the fit, the $ a_{1} $ and $ a_3 $ HVV coupling contributions are included. More details are given in the caption of Fig. 3. 
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Figure 4d:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0}] $ in the VBF channel (upper), and for $ [m_{\ell\ell}, \mathcal{D}_{0}] $ in the Resolved VH (middle) and Boosted VH (lower) channels. For each channel, the $ \mathcal{D}_{CP} < $ 0 (left) and $ \mathcal{D}_{CP} > $ 0 (right) categories are shown. For the fit, the $ a_{1} $ and $ a_3 $ HVV coupling contributions are included. More details are given in the caption of Fig. 3. 
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Figure 4e:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0}] $ in the VBF channel (upper), and for $ [m_{\ell\ell}, \mathcal{D}_{0}] $ in the Resolved VH (middle) and Boosted VH (lower) channels. For each channel, the $ \mathcal{D}_{CP} < $ 0 (left) and $ \mathcal{D}_{CP} > $ 0 (right) categories are shown. For the fit, the $ a_{1} $ and $ a_3 $ HVV coupling contributions are included. More details are given in the caption of Fig. 3. 
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Figure 4f:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0}] $ in the VBF channel (upper), and for $ [m_{\ell\ell}, \mathcal{D}_{0}] $ in the Resolved VH (middle) and Boosted VH (lower) channels. For each channel, the $ \mathcal{D}_{CP} < $ 0 (left) and $ \mathcal{D}_{CP} > $ 0 (right) categories are shown. For the fit, the $ a_{1} $ and $ a_3 $ HVV coupling contributions are included. More details are given in the caption of Fig. 3. 
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Figure 5:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ (upper left) and $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ (upper right) in the VBF channel, and for $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ (left) and $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ (right) in the Resolved VH (middle) and Boosted VH (lower) channels. For the fits, the $ a_{1} $ and $ \kappa_1/(\Lambda_1)^2 $ (left) or $ a_{1} $ and $ \kappa_2^{\mathrm{Z}\gamma}/(\Lambda_1^{\mathrm{Z}\gamma})^2 $ (right) HVV coupling contributions are included. More details are given in the caption of Fig. 3. 
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Figure 5a:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ (upper left) and $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ (upper right) in the VBF channel, and for $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ (left) and $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ (right) in the Resolved VH (middle) and Boosted VH (lower) channels. For the fits, the $ a_{1} $ and $ \kappa_1/(\Lambda_1)^2 $ (left) or $ a_{1} $ and $ \kappa_2^{\mathrm{Z}\gamma}/(\Lambda_1^{\mathrm{Z}\gamma})^2 $ (right) HVV coupling contributions are included. More details are given in the caption of Fig. 3. 
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Figure 5b:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ (upper left) and $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ (upper right) in the VBF channel, and for $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ (left) and $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ (right) in the Resolved VH (middle) and Boosted VH (lower) channels. For the fits, the $ a_{1} $ and $ \kappa_1/(\Lambda_1)^2 $ (left) or $ a_{1} $ and $ \kappa_2^{\mathrm{Z}\gamma}/(\Lambda_1^{\mathrm{Z}\gamma})^2 $ (right) HVV coupling contributions are included. More details are given in the caption of Fig. 3. 
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Figure 5c:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ (upper left) and $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ (upper right) in the VBF channel, and for $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ (left) and $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ (right) in the Resolved VH (middle) and Boosted VH (lower) channels. For the fits, the $ a_{1} $ and $ \kappa_1/(\Lambda_1)^2 $ (left) or $ a_{1} $ and $ \kappa_2^{\mathrm{Z}\gamma}/(\Lambda_1^{\mathrm{Z}\gamma})^2 $ (right) HVV coupling contributions are included. More details are given in the caption of Fig. 3. 
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Figure 5d:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ (upper left) and $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ (upper right) in the VBF channel, and for $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ (left) and $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ (right) in the Resolved VH (middle) and Boosted VH (lower) channels. For the fits, the $ a_{1} $ and $ \kappa_1/(\Lambda_1)^2 $ (left) or $ a_{1} $ and $ \kappa_2^{\mathrm{Z}\gamma}/(\Lambda_1^{\mathrm{Z}\gamma})^2 $ (right) HVV coupling contributions are included. More details are given in the caption of Fig. 3. 
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Figure 5e:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ (upper left) and $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ (upper right) in the VBF channel, and for $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ (left) and $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ (right) in the Resolved VH (middle) and Boosted VH (lower) channels. For the fits, the $ a_{1} $ and $ \kappa_1/(\Lambda_1)^2 $ (left) or $ a_{1} $ and $ \kappa_2^{\mathrm{Z}\gamma}/(\Lambda_1^{\mathrm{Z}\gamma})^2 $ (right) HVV coupling contributions are included. More details are given in the caption of Fig. 3. 
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Figure 5f:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ (upper left) and $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ (upper right) in the VBF channel, and for $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ (left) and $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ (right) in the Resolved VH (middle) and Boosted VH (lower) channels. For the fits, the $ a_{1} $ and $ \kappa_1/(\Lambda_1)^2 $ (left) or $ a_{1} $ and $ \kappa_2^{\mathrm{Z}\gamma}/(\Lambda_1^{\mathrm{Z}\gamma})^2 $ (right) HVV coupling contributions are included. More details are given in the caption of Fig. 3. 
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Figure 6:
Observed and predicted distributions after fitting the data for $ [m_{\mathrm{T}}, m_{\ell\ell}] $ in the 0 (left) and 1jet (right) ggH channels. For the fit, the $ a_{1} $ and $ a_3 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are included. More details are given in the caption of Fig. 3. 
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Figure 6a:
Observed and predicted distributions after fitting the data for $ [m_{\mathrm{T}}, m_{\ell\ell}] $ in the 0 (left) and 1jet (right) ggH channels. For the fit, the $ a_{1} $ and $ a_3 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are included. More details are given in the caption of Fig. 3. 
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Figure 6b:
Observed and predicted distributions after fitting the data for $ [m_{\mathrm{T}}, m_{\ell\ell}] $ in the 0 (left) and 1jet (right) ggH channels. For the fit, the $ a_{1} $ and $ a_3 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are included. More details are given in the caption of Fig. 3. 
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Figure 7:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF} $, $ \mathcal{D}^{\mathrm{g}\mathrm{g}\mathrm{H}}_{0}] $ in the 2jet ggH channel. Both the $ \mathcal{D}^{\mathrm{g}\mathrm{g}\mathrm{H}}_{\text{CP}} < $ 0 (left) and $ \mathcal{D}^{\mathrm{g}\mathrm{g}\mathrm{H}}_{\text{CP}} > $ 0 (right) categories are shown. In this case, the VBF and ggH signals are shown separately. For the fit, the $ a_2^{\mathrm{g}\mathrm{g}} $ and $ a_3^{\mathrm{g}\mathrm{g}} $ coupling contributions are included. The corresponding pure $ a_2^{\mathrm{g}\mathrm{g}} $ ($ f_{a3}^{\mathrm{g}\mathrm{g}\mathrm{H}} = $ 0) and $ a_3^{\mathrm{g}\mathrm{g}} $ ($ f_{a3}^{\mathrm{g}\mathrm{g}\mathrm{H}} = $ 1) signal hypotheses are also shown superimposed, their yields correspond to the predicted number of SM signal events. More details are given in the caption of Fig. 3. 
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Figure 7a:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF} $, $ \mathcal{D}^{\mathrm{g}\mathrm{g}\mathrm{H}}_{0}] $ in the 2jet ggH channel. Both the $ \mathcal{D}^{\mathrm{g}\mathrm{g}\mathrm{H}}_{\text{CP}} < $ 0 (left) and $ \mathcal{D}^{\mathrm{g}\mathrm{g}\mathrm{H}}_{\text{CP}} > $ 0 (right) categories are shown. In this case, the VBF and ggH signals are shown separately. For the fit, the $ a_2^{\mathrm{g}\mathrm{g}} $ and $ a_3^{\mathrm{g}\mathrm{g}} $ coupling contributions are included. The corresponding pure $ a_2^{\mathrm{g}\mathrm{g}} $ ($ f_{a3}^{\mathrm{g}\mathrm{g}\mathrm{H}} = $ 0) and $ a_3^{\mathrm{g}\mathrm{g}} $ ($ f_{a3}^{\mathrm{g}\mathrm{g}\mathrm{H}} = $ 1) signal hypotheses are also shown superimposed, their yields correspond to the predicted number of SM signal events. More details are given in the caption of Fig. 3. 
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Figure 7b:
Observed and predicted distributions after fitting the data for $ [\mathcal{D}_\text{VBF} $, $ \mathcal{D}^{\mathrm{g}\mathrm{g}\mathrm{H}}_{0}] $ in the 2jet ggH channel. Both the $ \mathcal{D}^{\mathrm{g}\mathrm{g}\mathrm{H}}_{\text{CP}} < $ 0 (left) and $ \mathcal{D}^{\mathrm{g}\mathrm{g}\mathrm{H}}_{\text{CP}} > $ 0 (right) categories are shown. In this case, the VBF and ggH signals are shown separately. For the fit, the $ a_2^{\mathrm{g}\mathrm{g}} $ and $ a_3^{\mathrm{g}\mathrm{g}} $ coupling contributions are included. The corresponding pure $ a_2^{\mathrm{g}\mathrm{g}} $ ($ f_{a3}^{\mathrm{g}\mathrm{g}\mathrm{H}} = $ 0) and $ a_3^{\mathrm{g}\mathrm{g}} $ ($ f_{a3}^{\mathrm{g}\mathrm{g}\mathrm{H}} = $ 1) signal hypotheses are also shown superimposed, their yields correspond to the predicted number of SM signal events. More details are given in the caption of Fig. 3. 
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Figure 8:
Expected (dashed) and observed (solid) profiled likelihood on $ f_{a2} $ (upper left), $ f_{\Lambda 1} $ (upper right), $ f_{a3} $ (lower left), and $ f_{\Lambda 1}^{\mathrm{Z}\gamma} $ (lower right) using Approach 1. In each case, the signal strength modifiers are treated as free parameters. The dashed horizontal lines show the 68 and 95% CL regions. Axis scales are varied for $ f_{a2} $ and $ f_{\Lambda 1} $ to improve the visibility of important features. 
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Figure 8a:
Expected (dashed) and observed (solid) profiled likelihood on $ f_{a2} $ (upper left), $ f_{\Lambda 1} $ (upper right), $ f_{a3} $ (lower left), and $ f_{\Lambda 1}^{\mathrm{Z}\gamma} $ (lower right) using Approach 1. In each case, the signal strength modifiers are treated as free parameters. The dashed horizontal lines show the 68 and 95% CL regions. Axis scales are varied for $ f_{a2} $ and $ f_{\Lambda 1} $ to improve the visibility of important features. 
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Figure 8b:
Expected (dashed) and observed (solid) profiled likelihood on $ f_{a2} $ (upper left), $ f_{\Lambda 1} $ (upper right), $ f_{a3} $ (lower left), and $ f_{\Lambda 1}^{\mathrm{Z}\gamma} $ (lower right) using Approach 1. In each case, the signal strength modifiers are treated as free parameters. The dashed horizontal lines show the 68 and 95% CL regions. Axis scales are varied for $ f_{a2} $ and $ f_{\Lambda 1} $ to improve the visibility of important features. 
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Figure 8c:
Expected (dashed) and observed (solid) profiled likelihood on $ f_{a2} $ (upper left), $ f_{\Lambda 1} $ (upper right), $ f_{a3} $ (lower left), and $ f_{\Lambda 1}^{\mathrm{Z}\gamma} $ (lower right) using Approach 1. In each case, the signal strength modifiers are treated as free parameters. The dashed horizontal lines show the 68 and 95% CL regions. Axis scales are varied for $ f_{a2} $ and $ f_{\Lambda 1} $ to improve the visibility of important features. 
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Figure 8d:
Expected (dashed) and observed (solid) profiled likelihood on $ f_{a2} $ (upper left), $ f_{\Lambda 1} $ (upper right), $ f_{a3} $ (lower left), and $ f_{\Lambda 1}^{\mathrm{Z}\gamma} $ (lower right) using Approach 1. In each case, the signal strength modifiers are treated as free parameters. The dashed horizontal lines show the 68 and 95% CL regions. Axis scales are varied for $ f_{a2} $ and $ f_{\Lambda 1} $ to improve the visibility of important features. 
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Figure 9:
Expected (dashed) and observed (solid) profiled likelihood on $ f_{a2} $ (upper left), $ f_{\Lambda 1} $ (upper right) and $ f_{a3} $ (bottom) using Approach 2. The other two anomalous coupling cross section fractions are either fixed to zero (blue) or left floating in the fit (red). In each case, the signal strength modifiers are treated as free parameters. The dashed horizontal lines show the 68 and 95% CL regions. Axis scales are varied for $ f_{a2} $ and $ f_{\Lambda 1} $ to improve the visibility of important features. 
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Figure 9a:
Expected (dashed) and observed (solid) profiled likelihood on $ f_{a2} $ (upper left), $ f_{\Lambda 1} $ (upper right) and $ f_{a3} $ (bottom) using Approach 2. The other two anomalous coupling cross section fractions are either fixed to zero (blue) or left floating in the fit (red). In each case, the signal strength modifiers are treated as free parameters. The dashed horizontal lines show the 68 and 95% CL regions. Axis scales are varied for $ f_{a2} $ and $ f_{\Lambda 1} $ to improve the visibility of important features. 
png pdf 
Figure 9b:
Expected (dashed) and observed (solid) profiled likelihood on $ f_{a2} $ (upper left), $ f_{\Lambda 1} $ (upper right) and $ f_{a3} $ (bottom) using Approach 2. The other two anomalous coupling cross section fractions are either fixed to zero (blue) or left floating in the fit (red). In each case, the signal strength modifiers are treated as free parameters. The dashed horizontal lines show the 68 and 95% CL regions. Axis scales are varied for $ f_{a2} $ and $ f_{\Lambda 1} $ to improve the visibility of important features. 
png pdf 
Figure 9c:
Expected (dashed) and observed (solid) profiled likelihood on $ f_{a2} $ (upper left), $ f_{\Lambda 1} $ (upper right) and $ f_{a3} $ (bottom) using Approach 2. The other two anomalous coupling cross section fractions are either fixed to zero (blue) or left floating in the fit (red). In each case, the signal strength modifiers are treated as free parameters. The dashed horizontal lines show the 68 and 95% CL regions. Axis scales are varied for $ f_{a2} $ and $ f_{\Lambda 1} $ to improve the visibility of important features. 
png pdf 
Figure 10:
The observed correlation coefficients between HVV anomalous coupling cross section fractions and signal strength modifiers (left) and between SMEFT Higgs basis coupling parameters (right). 
png pdf 
Figure 10a:
The observed correlation coefficients between HVV anomalous coupling cross section fractions and signal strength modifiers (left) and between SMEFT Higgs basis coupling parameters (right). 
png pdf 
Figure 10b:
The observed correlation coefficients between HVV anomalous coupling cross section fractions and signal strength modifiers (left) and between SMEFT Higgs basis coupling parameters (right). 
png pdf 
Figure 11:
Expected (dashed) and observed (solid) profiled likelihood on the $ \delta c_\text{z} $ (upper left), $ c_{\text{z}\Box} $ (upper right), $ c_\text{zz} $ (lower left), and $ \tilde{c}_\text{zz} $ (lower right) couplings of the SMEFT Higgs basis. All four couplings are studied simultaneously. The dashed horizontal lines show the 68 and 95% CL regions. 
png pdf 
Figure 11a:
Expected (dashed) and observed (solid) profiled likelihood on the $ \delta c_\text{z} $ (upper left), $ c_{\text{z}\Box} $ (upper right), $ c_\text{zz} $ (lower left), and $ \tilde{c}_\text{zz} $ (lower right) couplings of the SMEFT Higgs basis. All four couplings are studied simultaneously. The dashed horizontal lines show the 68 and 95% CL regions. 
png pdf 
Figure 11b:
Expected (dashed) and observed (solid) profiled likelihood on the $ \delta c_\text{z} $ (upper left), $ c_{\text{z}\Box} $ (upper right), $ c_\text{zz} $ (lower left), and $ \tilde{c}_\text{zz} $ (lower right) couplings of the SMEFT Higgs basis. All four couplings are studied simultaneously. The dashed horizontal lines show the 68 and 95% CL regions. 
png pdf 
Figure 11c:
Expected (dashed) and observed (solid) profiled likelihood on the $ \delta c_\text{z} $ (upper left), $ c_{\text{z}\Box} $ (upper right), $ c_\text{zz} $ (lower left), and $ \tilde{c}_\text{zz} $ (lower right) couplings of the SMEFT Higgs basis. All four couplings are studied simultaneously. The dashed horizontal lines show the 68 and 95% CL regions. 
png pdf 
Figure 11d:
Expected (dashed) and observed (solid) profiled likelihood on the $ \delta c_\text{z} $ (upper left), $ c_{\text{z}\Box} $ (upper right), $ c_\text{zz} $ (lower left), and $ \tilde{c}_\text{zz} $ (lower right) couplings of the SMEFT Higgs basis. All four couplings are studied simultaneously. The dashed horizontal lines show the 68 and 95% CL regions. 
png pdf 
Figure 12:
Summary of constraints on the SMEFT Higgs (left) and Warsaw (right) basis coupling parameters with the best fit values and 68% CL uncertainties. For the Warsaw basis, only one of $ c_\text{HW} $, $ c_\text{HWB} $, and $ c_\text{HB} $ is independent, the same is also true for $ c_{\text{H}\tilde{\text{W}}} $, $ c_{\text{H}\tilde{\text{W}}\text{B}} $, and $ c_{\text{H}\tilde{\text{B}}} $. 
png pdf 
Figure 12a:
Summary of constraints on the SMEFT Higgs (left) and Warsaw (right) basis coupling parameters with the best fit values and 68% CL uncertainties. For the Warsaw basis, only one of $ c_\text{HW} $, $ c_\text{HWB} $, and $ c_\text{HB} $ is independent, the same is also true for $ c_{\text{H}\tilde{\text{W}}} $, $ c_{\text{H}\tilde{\text{W}}\text{B}} $, and $ c_{\text{H}\tilde{\text{B}}} $. 
png pdf 
Figure 12b:
Summary of constraints on the SMEFT Higgs (left) and Warsaw (right) basis coupling parameters with the best fit values and 68% CL uncertainties. For the Warsaw basis, only one of $ c_\text{HW} $, $ c_\text{HWB} $, and $ c_\text{HB} $ is independent, the same is also true for $ c_{\text{H}\tilde{\text{W}}} $, $ c_{\text{H}\tilde{\text{W}}\text{B}} $, and $ c_{\text{H}\tilde{\text{B}}} $. 
png pdf 
Figure 13:
Expected (dashed) and observed (solid) profiled likelihood on $ f_{a3}^{\mathrm{g}\mathrm{g}\mathrm{H}} $. The signal strength modifiers and the CPodd HVV anomalous coupling cross section fraction are treated as free parameters. The crossing of the observed likelihood with the dashed horizontal line shows the observed 68% CL region. 
Tables  
png pdf 
Table 1:
The cross sections ($ \sigma_i $) of the anomalous contributions ($ a_i $) relative to the SM value ($ \sigma_1 $) used to define the fractional cross sections $ f_{ai} $ for the Approach 1 and 2 coupling relationships. For the $ \kappa_{1} $ and $ \kappa_{2}^{\mathrm{Z}\gamma} $ couplings, the numerical values $ \Lambda_1 = \Lambda_1^{\mathrm{Z}\gamma} = $ 100 GeV are chosen to keep all coefficients of similar order of magnitude. 
png pdf 
Table 2:
Summary of the base selection criteria. 
png pdf 
Table 3:
Summary of the ggH, VBF, and VH production channels used for the HVV coupling study. 
png pdf 
Table 4:
Summary of ggH channel selections used for the Hgg coupling study. 
png pdf 
Table 5:
Summary of the $ \tau\tau $, top quark, and WW control region requirements. 
png pdf 
Table 6:
The kinematic observables used for the interference based categorization and for the final discriminants used in the fits to data to study the HVV and Hgg couplings. For each of the anomalous HVV couplings in Approach 1, we have a dedicated analysis in the VBF and VH channels. In Approach 2, we use one analysis to target all anomalous HVV couplings simultaneously. 
png pdf 
Table 7:
Summary of constraints on the anomalous HVV and Hgg coupling parameters with the best fit values and allowed 68 and 95% CL (in square brackets) intervals. For Approach 1, each $ f_{ai} $ is studied independently. For Approach 2, each $ f_{ai} $ is shown separately with the other two cross section fractions either fixed to zero or left floating in the fit. In each case, the signal strength modifiers are treated as free parameters. 
png pdf 
Table 8:
Summary of constraints on the SMEFT Higgs basis coupling parameters with the best fit values and 68% CL uncertainties. All four couplings are studied simultaneously. 
png pdf 
Table 9:
Summary of constraints on the SMEFT Warsaw basis coupling parameters with the best fit values and 68% CL uncertainties. Only one of $ c_\text{HW} $, $ c_\text{HWB} $, and $ c_\text{HB} $ is independent, the same is also true for $ c_{\text{H}\tilde{\text{W}}} $, $ c_{\text{H}\tilde{\text{W}}\text{B}} $, and $ c_{\text{H}\tilde{\text{B}}} $. Three independent fits to the data were performed with a different choice of four independent couplings in each. 
Summary 
This paper presents a study of the anomalous couplings of the Higgs boson (H) with vector bosons, including CP violating effects, using its associated production with hadronic jets in gluon fusion, electroweak vector boson fusion, and associated production with a W or Z boson, and its subsequent decay to a pair of W bosons. The results are based on the protonproton collision data set collected by the CMS detector at the LHC during 20162018, corresponding to an integrated luminosity of 138 fb$ ^{1} $ at a centerofmass energy of 13 TeV. The analysis targets the differentflavor dilepton ($ \mathrm{e}\mu $) final state, with kinematic information from associated jets combined using matrix element techniques to increase sensitivity to anomalous effects at the production vertex. Dedicated Monte Carlo simulation and matrix element reweighting provide modeling of all kinematic features in the production and decay of the Higgs boson with full simulation of detector effects. A simultaneous measurement of four Higgs boson couplings to electroweak vector bosons has been performed in the framework of a standard model effective field theory. All measurements are consistent with the expectations for the standard model Higgs boson and constraints are set on the fractional contribution of the anomalous couplings to the Higgs boson cross section. The most stringent constraints on the HVV anomalous coupling cross section fractions are at the per mille level. These results are in agreement with those obtained in the $ \mathrm{H}\to\mathrm{Z}\mathrm{Z} $ and $ \mathrm{H}\to\tau\tau $ channels, and also significantly surpass those of the previous $ \mathrm{H}\to\mathrm{W}\mathrm{W} $ anomalous coupling analysis from the CMS experiment in both scope and precision. 
References  
1  ATLAS Collaboration  Observation of a new particle in the search for the standard model Higgs boson with the ATLAS detector at the LHC  PLB 716 (2012) 1  1207.7214 
2  CMS Collaboration  Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC  PLB 716 (2012) 30  CMSHIG12028 1207.7235 
3  CMS Collaboration  Observation of a new boson with mass near 125 GeV in pp collisions at $ \sqrt{s}= $ 7 and 8 TeV  JHEP 06 (2013) 081  CMSHIG12036 1303.4571 
4  CMS Collaboration  On the mass and spinparity of the Higgs boson candidate via its decays to Z boson pairs  PRL 110 (2013) 081803  CMSHIG12041 1212.6639 
5  CMS Collaboration  Measurement of the properties of a Higgs boson in the fourlepton final state  PRD 89 (2014) 092007  CMSHIG13002 1312.5353 
6  CMS Collaboration  Constraints on the spinparity and anomalous HVV couplings of the Higgs boson in proton collisions at 7 and 8 TeV  PRD 92 (2015) 012004  CMSHIG14018 1411.3441 
7  CMS Collaboration  Limits on the Higgs boson lifetime and width from its decay to four charged leptons  PRD 92 (2015) 072010  CMSHIG14036 1507.06656 
8  CMS Collaboration  Combined search for anomalous pseudoscalar HVV couplings in VH production and $ \mathrm{H}\to \mathrm{V}\mathrm{V} $ decay  PLB 759 (2016) 672  CMSHIG14035 1602.04305 
9  CMS Collaboration  Constraints on anomalous Higgs boson couplings using production and decay information in the fourlepton final state  PLB 775 (2017) 1  CMSHIG17011 1707.00541 
10  CMS Collaboration  Measurements of the Higgs boson width and anomalous HVV couplings from onshell and offshell production in the fourlepton final state  PRD 99 (2019) 112003  CMSHIG18002 1901.00174 
11  CMS Collaboration  Constraints on anomalous $ \mathrm{H}\mathrm{V}\mathrm{V} $ couplings from the production of Higgs bosons decaying to $ \tau $ lepton pairs  PRD 100 (2019) 112002  CMSHIG17034 1903.06973 
12  ATLAS Collaboration  Evidence for the spin0 nature of the Higgs boson using ATLAS data  PLB 726 (2013) 120  1307.1432 
13  ATLAS Collaboration  Study of the spin and parity of the Higgs boson in diboson decays with the ATLAS detector  EPJC 75 (2015) 476  1506.05669 
14  ATLAS Collaboration  Test of $ CP $ invariance in vectorboson fusion production of the Higgs boson using the Optimal Observable method in the ditau decay channel with the ATLAS detector  EPJC 76 (2016) 658  1602.04516 
15  ATLAS Collaboration  Measurement of inclusive and differential cross sections in the $ \mathrm{H} \rightarrow \mathrm{Z}\mathrm{Z}^{*} \rightarrow 4\ell $ decay channel in pp collisions at $ \sqrt{s}= $ 13 TeV with the ATLAS detector  JHEP 10 (2017) 132  1708.02810 
16  ATLAS Collaboration  Measurement of the Higgs boson coupling properties in the $ \mathrm{H} \rightarrow \mathrm{Z}\mathrm{Z}^{*} \rightarrow 4\ell $ decay channel at $ \sqrt{s} $ = 13 TeV with the ATLAS detector  JHEP 03 (2018) 095  1712.02304 
17  ATLAS Collaboration  Measurements of Higgs boson properties in the diphoton decay channel with 36 fb$ ^{1} $ of pp collision data at $ \sqrt{s} = $ 13 TeV with the ATLAS detector  PRD 98 (2018) 052005  1802.04146 
18  ATLAS Collaboration  Test of $ CP $ invariance in vectorboson fusion production of the Higgs boson in the $ \mathrm {H}\rightarrow\tau\tau $ channel in protonproton collisions at $ \sqrt{s} $ = 13 TeV with the ATLAS detector  PLB 805 (2020) 135426  2002.05315 
19  LHC Higgs Cross Section Working Group  Handbook of LHC Higgs cross sections: 4. Deciphering the nature of the Higgs sector  CERN Report CERN2017002M, 2016 link 
1610.07922 
20  Y. Gao et al.  Spin determination of singleproduced resonances at hadron colliders  PRD 81 (2010) 075022  1001.3396 
21  S. Bolognesi et al.  On the spin and parity of a singleproduced resonance at the LHC  PRD 86 (2012) 095031  1208.4018 
22  I. Anderson et al.  Constraining anomalous HVV interactions at proton and lepton colliders  PRD 89 (2014) 035007  1309.4819 
23  A. V. Gritsan, R. Röntsch, M. Schulze, and M. Xiao  Constraining anomalous Higgs boson couplings to the heavy flavor fermions using matrix element techniques  PRD 94 (2016) 055023  1606.03107 
24  A. V. Gritsan et al.  New features in the JHU generator framework: constraining Higgs boson properties from onshell and offshell production  PRD 102 (2020) 056022  2002.09888 
25  CMS Collaboration  Measurements of the Higgs boson production cross section and couplings in the W boson pair decay channel in protonproton collisions at $ \sqrt{s} $ = 13 TeV  EPJC 83 (2023) 667  CMSHIG20013 2206.09466 
26  LHC Higgs Cross Section Working Group  Handbook of LHC Higgs cross sections: 3. Higgs Properties: Report of the LHC Higgs Cross Section Working Group  CERN Report CERN2013004, 2013 link 
1307.1347 
27  CMS Collaboration  Measurements of $ {\mathrm{t}\overline{\mathrm{t}}} \mathrm{H} $ production and the $ CP $ structure of the Yukawa interaction between the Higgs boson and top quark in the diphoton decay channel  PRL 125 (2020) 061801  CMSHIG19013 2003.10866 
28  CMS Collaboration  Constraints on anomalous Higgs boson couplings to vector bosons and fermions in its production and decay using the fourlepton final state  PRD 104 (2021) 052004  CMSHIG19009 2104.12152 
29  CMS Collaboration  HEPData record for this analysis  link  
30  B. Grzadkowski, M. Iskrzy \' n ski, M. Misiak, and J. Rosiek  Dimensionsix terms in the standard model lagrangian  JHEP 10 (2010) 085  1008.4884 
31  J. Davis et al.  Constraining anomalous Higgs boson couplings to virtual photons  PRD 105 (2022) 096027  2109.13363 
32  A. V. Gritsan et al.  New features in the JHU generator framework: Constraining Higgs boson properties from onshell and offshell production  PRD 102 (2020)  
33  CMS Collaboration  The CMS experiment at the CERN LHC  JINST 3 (2008) S08004  
34  CMS Collaboration  Performance of electron reconstruction and selection with the CMS detector in protonproton collisions at $ \sqrt{s} = $ 8 TeV  JINST 10 (2015) P06005  CMSEGM13001 1502.02701 
35  CMS Collaboration  Performance of the CMS muon detector and muon reconstruction with protonproton collisions at $ \sqrt{s}= $ 13 TeV  JINST 13 (2018) P06015  CMSMUO16001 1804.04528 
36  CMS Collaboration  Performance of photon reconstruction and identification with the CMS detector in protonproton collisions at sqrt(s) = 8 TeV  JINST 10 (2015) P08010  CMSEGM14001 1502.02702 
37  CMS Collaboration  Description and performance of track and primaryvertex reconstruction with the CMS tracker  JINST 9 (2014) P10009  CMSTRK11001 1405.6569 
38  CMS Collaboration  Particleflow reconstruction and global event description with the CMS detector  JINST 12 (2017) P10003  CMSPRF14001 1706.04965 
39  CMS Collaboration  Performance of reconstruction and identification of $ \tau $ leptons decaying to hadrons and $ \nu_\tau $ in pp collisions at $ \sqrt{s}= $ 13 TeV  JINST 13 (2018) P10005  CMSTAU16003 1809.02816 
40  CMS Collaboration  Jet energy scale and resolution in the CMS experiment in pp collisions at 8 TeV  JINST 12 (2017) P02014  CMSJME13004 1607.03663 
41  CMS Collaboration  Performance of missing transverse momentum reconstruction in protonproton collisions at $ \sqrt{s} = $ 13\,TeV using the CMS detector  JINST 14 (2019) P07004  CMSJME17001 1903.06078 
42  CMS Collaboration  Performance of the CMS Level1 trigger in protonproton collisions at $ \sqrt{s} = $ 13\,TeV  JINST 15 (2020) P10017  CMSTRG17001 2006.10165 
43  CMS Collaboration  The CMS trigger system  JINST 12 (2017) P01020  CMSTRG12001 1609.02366 
44  CMS Collaboration  Precision luminosity measurement in protonproton collisions at $ \sqrt{s}= $ 13 TeV in 2015 and 2016 at CMS  EPJC 800 (2021) 81  CMSLUM17003 2104.01927 
45  CMS Collaboration  CMS luminosity measurement for the 2017 datataking period at $ \sqrt{s} = $ 13 TeV  CMS Physics Analysis Summary, 2017 CMSPASLUM17004 
CMSPASLUM17004 
46  CMS Collaboration  CMS luminosity measurement for the 2018 datataking period at $ \sqrt{s} = $ 13 TeV  CMS Physics Analysis Summary, 2019 CMSPASLUM18002 
CMSPASLUM18002 
47  NNPDF Collaboration  Parton distributions with QED corrections  NPB 877 (2013) 290  1308.0598 
48  NNPDF Collaboration  Unbiased global determination of parton distributions and their uncertainties at NNLO and at LO  NPB 855 (2012) 153  1107.2652 
49  NNPDF Collaboration  Parton distributions from highprecision collider data  EPJC 77 (2017) 663  1706.00428 
50  CMS Collaboration  Event generator tunes obtained from underlying event and multiparton scattering measurements  EPJC 76 (2016) 155  CMSGEN14001 1512.00815 
51  CMS Collaboration  Extraction and validation of a new set of CMS \textscPYTHIA8 tunes from underlyingevent measurements  EPJC 80 (2020) 4  CMSGEN17001 1903.12179 
52  T. Sjöstrand et al.  An introduction to PYTHIA 8.2  Comput. Phys. Commun. 191 (2015) 159  1410.3012 
53  P. Nason  A new method for combining NLO QCD with shower Monte Carlo algorithms  JHEP 11 (2004) 040  hepph/0409146 
54  S. Frixione, P. Nason, and C. Oleari  Matching NLO QCD computations with parton shower simulations: the POWHEG method  JHEP 11 (2007) 070  0709.2092 
55  S. Alioli, P. Nason, C. Oleari, and E. Re  A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX  JHEP 06 (2010) 043  1002.2581 
56  E. Bagnaschi, G. Degrassi, P. Slavich, and A. Vicini  Higgs production via gluon fusion in the POWHEG approach in the SM and in the MSSM  JHEP 02 (2012) 088  1111.2854 
57  P. Nason and C. Oleari  NLO Higgs boson production via vectorboson fusion matched with shower in POWHEG  JHEP 02 (2010) 037  0911.5299 
58  G. Luisoni, P. Nason, C. Oleari, and F. Tramontano  $ \mathrm{HW^{\pm}} $/HZ + 0 and 1 jet at NLO with the POWHEG BOX interfaced to GoSam and their merging within MiNLO  JHEP 10 (2013) 083  1306.2542 
59  H. B. Hartanto, B. Jager, L. Reina, and D. Wackeroth  Higgs boson production in association with top quarks in the POWHEG BOX  PRD 91 (2015) 094003  1501.04498 
60  K. Hamilton, P. Nason, E. Re, and G. Zanderighi  NNLOPS simulation of Higgs boson production  JHEP 10 (2013) 222  1309.0017 
61  K. Hamilton, P. Nason, and G. Zanderighi  Finite quarkmass effects in the NNLOPS POWHEG+MiNLO Higgs generator  JHEP 05 (2015) 140  1501.04637 
62  N. Berger et al.  Simplified template cross sections  stage 1.1  1906.02754  
63  R. Frederix and K. Hamilton  Extending the MINLO method  JHEP 05 (2016) 042  1512.02663 
64  J. Alwall et al.  The automated computation of treelevel and nexttoleading order differential cross sections, and their matching to parton shower simulations  JHEP 07 (2014) 079  1405.0301 
65  CMS Collaboration  A measurement of the Higgs boson mass in the diphoton decay channel  PLB 805 (2020) 135425  CMSHIG19004 2002.06398 
66  P. Nason, C. Oleari, M. Rocco, and M. Zaro  An interface between the POWHEG BOX and MadGraph5\_aMC@NLO  EPJC 80 (2020) 10  2008.06364 
67  P. Nason and G. Zanderighi  $ W^+ W^ $, $ W Z $ and $ Z Z $ production in the POWHEGBOXV2  EPJC 74 (2014) 2702  1311.1365 
68  P. Meade, H. Ramani, and M. Zeng  Transverse momentum resummation effects in $ \mathrm{W}^+\mathrm{W}^ $ measurements  PRD 90 (2014) 114006  1407.4481 
69  P. Jaiswal and T. Okui  Explanation of the $ \mathrm{W}\mathrm{W} $ excess at the LHC by jetveto resummation  PRD 90 (2014) 073009  1407.4537 
70  J. M. Campbell and R. K. Ellis  An update on vector boson pair production at hadron colliders  PRD 60 (1999) 113006  hepph/9905386 
71  J. M. Campbell, R. K. Ellis, and C. Williams  Vector boson pair production at the LHC  JHEP 07 (2011) 018  1105.0020 
72  J. M. Campbell, R. K. Ellis, and W. T. Giele  A multithreaded version of MCFM  EPJC 75 (2015) 246  1503.06182 
73  F. Caola et al.  QCD corrections to vector boson pair production in gluon fusion including interference effects with offshell Higgs at the LHC  JHEP 07 (2016) 087  1605.04610 
74  Alwall, J. and others  Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions  EPJC 53 (2008) 473  0706.2569 
75  S. Frixione, P. Nason, and G. Ridolfi  A positiveweight nexttoleadingorder Monte Carlo for heavy flavour hadroproduction  JHEP 09 (2007) 126  0707.3088 
76  S. Alioli, P. Nason, C. Oleari, and E. Re  NLO singletop production matched with shower in POWHEG: $ s $ and $ t $channel contributions  JHEP 09 (2009) 111  0907.4076 
77  E. Re  Singletop Wtchannel production matched with parton showers using the POWHEG method  EPJC 71 (2011) 1547  1009.2450 
78  M. Czakon et al.  Toppair production at the LHC through NNLO QCD and NLO EW  JHEP 10 (2017) 186  1705.04105 
79  R. Frederix and S. Frixione  Merging meets matching in MC@NLO  JHEP 12 (2012) 061  1209.6215 
80  GEANT4 Collaboration  GEANT 4  a simulation toolkit  NIM A 506 (2003) 250  
81  CMS Collaboration  Muon identification using multivariate techniques in the CMS experiment in protonproton collisions at $ \sqrt{s} $ = 13 TeV  Submitted to JINST, 2023  CMSMUO22001 2310.03844 
82  W. Waltenberger, R. Fr \"u hwirth, and P. Vanlaer  Adaptive vertex fitting  JPG 34 (2007) N343  
83  CMS Collaboration  Technical proposal for the PhaseII upgrade of the Compact Muon Solenoid  CMS Technical Proposal CERNLHCC2015010, CMSTDR1502, 2015 CDS 

84  CMS Collaboration  Pileup mitigation at CMS in 13 TeV data  JINST 15 (2020) P09018  CMSJME18001 2003.00503 
85  D. Bertolini, P. Harris, M. Low, and N. Tran  Pileup per particle identification  JHEP 10 (2014) 059  1407.6013 
86  J. Thaler and K. Van Tilburg  Identifying boosted objects with $ N $subjettiness  JHEP 03 (2011) 015  1011.2268 
87  M. Dasgupta, A. Fregoso, S. Marzani, and G. P. Salam  Towards an understanding of jet substructure  JHEP 09 (2013) 029  1307.0007 
88  J. M. Butterworth, A. R. Davison, M. Rubin, and G. P. Salam  Jet substructure as a new Higgs search channel at the LHC  PRL 100 (2008) 242001  0802.2470 
89  A. J. Larkoski, S. Marzani, G. Soyez, and J. Thaler  Soft Drop  JHEP 05 (2014) 146  1402.2657 
90  CMS Collaboration  Identification of heavyflavour jets with the CMS detector in pp collisions at 13 TeV  JINST 13 (2018) P05011  CMSBTV16002 1712.07158 
91  CMS Collaboration  CMS Phase 1 heavy flavour identification performance and developments  CMS Detector Performance Summary CMSDP2020019, 2017 CDS 

92  CMS Collaboration  Measurements of properties of the Higgs boson decaying to a W boson pair in pp collisions at $ \sqrt{s}= $ 13 TeV  PLB 791 (2019) 96  CMSHIG16042 1806.05246 
93  CMS Collaboration  Measurements of inclusive W and Z cross sections in pp collisions at $ \sqrt{s}= $ 7 TeV  JHEP 01 (2011) 080  CMSEWK10002 1012.2466 
94  CMS Collaboration  An embedding technique to determine $ \tau\tau $ backgrounds in protonproton collision data  JINST 14 (2019) P06032  CMSTAU18001 1903.01216 
95  CMS Collaboration  Identification techniques for highly boosted W bosons that decay into hadrons  JHEP 12 (2014) 017  CMSJME13006 1410.4227 
96  R. Barlow and C. Beeston  Fitting using finite Monte Carlo samples  Comput. Phys. Commun. 77 (1993) 219  
97  ATLAS Collaboration  Measurement of the inelastic protonproton cross section at $ \sqrt{s}=13\text{ }\text{ }\mathrm{TeV} $ with the ATLAS detector at the LHC  PRL 117 (2016) 182002  1606.02625 
98  CMS Collaboration  Measurement of the inelastic protonproton cross section at $ \sqrt{s}= $ 13 TeV  JHEP 07 (2018) 161  CMSFSQ15005 1802.02613 
99  G. Passarino  Higgs CAT  EPJC 74 (2014) 2866  1312.2397 
100  CMS Collaboration  Measurement of Higgs boson production and properties in the WW decay channel with leptonic final states  JHEP 01 (2014) 096  CMSHIG13023 1312.1129 
101  The ATLAS Collaboration, The CMS Collaboration, The LHC Higgs Combination Group  Procedure for the LHC Higgs boson search combination in Summer 2011  Technical Report ATLPHYS11, CMS NOTE /005, 2011 PUB 201 (2011) 1 

102  CMS Collaboration  Combined measurements of Higgs boson couplings in protonproton collisions at $ \sqrt{s} = $ 13 TeV  EPJC 79 (2019) 421  CMSHIG17031 1809.10733 
103  S. S. Wilks  The largesample distribution of the likelihood ratio for testing composite hypotheses  Annals Math. Statist. 9 (1938) 60  
104  G. Cowan, K. Cranmer, E. Gross, and O. Vitells  Asymptotic formulae for likelihoodbased tests of new physics  EPJC 71 (2011) 1554  1007.1727 
Compact Muon Solenoid LHC, CERN 