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| CMS-PAS-HIG-22-008 | ||
| Constraints on anomalous Higgs boson couplings from its production and decay in the WW channel | ||
| CMS Collaboration | ||
| 19 September 2023 | ||
| Abstract: A study of the Higgs boson anomalous couplings from its production and decay in the WW channel is presented. The proton-proton collision data set was collected with the CMS detector at the CERN LHC during 2016-2018, and corresponds to an integrated luminosity of 138 fb$ ^{-1} $ at a center-of-mass energy of 13 TeV. Couplings of the Higgs boson to vector bosons are studied including CP-violation effects. The different-flavor dilepton (e$\mu $) final state is analysed, 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 cross section. | ||
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Links:
CDS record (PDF) ;
CADI line (restricted) ;
These preliminary results are superseded in this paper, Submitted to EPJC. The superseded preliminary plots can be found here. |
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| 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 while the $ \mathrm{H} \to \mathrm{W}\mathrm{W} $ decay is shown 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 shown in brown and the angles characterizing kinematic distributions are shown 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 1-a:
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 while the $ \mathrm{H} \to \mathrm{W}\mathrm{W} $ decay is shown 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 shown in brown and the angles characterizing kinematic distributions are shown 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 1-b:
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 while the $ \mathrm{H} \to \mathrm{W}\mathrm{W} $ decay is shown 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 shown in brown and the angles characterizing kinematic distributions are shown 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 1-c:
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 while the $ \mathrm{H} \to \mathrm{W}\mathrm{W} $ decay is shown 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 shown in brown and the angles characterizing kinematic distributions are shown 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:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0-}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{0-}] $ in the Resolved VH (center) and Boosted VH (right) channels. For each channel, the $ \mathcal{D}_{CP} < $ 0 (upper) and $ \mathcal{D}_{CP} > $ 0 (lower) categories are shown. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ a_3 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. The Higgs boson signal is shown both stacked on top of the backgrounds and superimposed. 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 2-a:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0-}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{0-}] $ in the Resolved VH (center) and Boosted VH (right) channels. For each channel, the $ \mathcal{D}_{CP} < $ 0 (upper) and $ \mathcal{D}_{CP} > $ 0 (lower) categories are shown. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ a_3 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. The Higgs boson signal is shown both stacked on top of the backgrounds and superimposed. 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 2-b:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0-}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{0-}] $ in the Resolved VH (center) and Boosted VH (right) channels. For each channel, the $ \mathcal{D}_{CP} < $ 0 (upper) and $ \mathcal{D}_{CP} > $ 0 (lower) categories are shown. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ a_3 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. The Higgs boson signal is shown both stacked on top of the backgrounds and superimposed. 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 2-c:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0-}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{0-}] $ in the Resolved VH (center) and Boosted VH (right) channels. For each channel, the $ \mathcal{D}_{CP} < $ 0 (upper) and $ \mathcal{D}_{CP} > $ 0 (lower) categories are shown. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ a_3 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. The Higgs boson signal is shown both stacked on top of the backgrounds and superimposed. 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 2-d:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0-}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{0-}] $ in the Resolved VH (center) and Boosted VH (right) channels. For each channel, the $ \mathcal{D}_{CP} < $ 0 (upper) and $ \mathcal{D}_{CP} > $ 0 (lower) categories are shown. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ a_3 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. The Higgs boson signal is shown both stacked on top of the backgrounds and superimposed. 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 2-e:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0-}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{0-}] $ in the Resolved VH (center) and Boosted VH (right) channels. For each channel, the $ \mathcal{D}_{CP} < $ 0 (upper) and $ \mathcal{D}_{CP} > $ 0 (lower) categories are shown. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ a_3 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. The Higgs boson signal is shown both stacked on top of the backgrounds and superimposed. 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 2-f:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0-}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{0-}] $ in the Resolved VH (center) and Boosted VH (right) channels. For each channel, the $ \mathcal{D}_{CP} < $ 0 (upper) and $ \mathcal{D}_{CP} > $ 0 (lower) categories are shown. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ a_3 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. The Higgs boson signal is shown both stacked on top of the backgrounds and superimposed. 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 3:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0+}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{0+}] $ in the Resolved VH (upper right) and Boosted VH (lower right) channels. For the VBF channel, the $ \mathcal{D}_{\text{int}} < $ 0.4 (upper left) and VBF $ \mathcal{D}_{\text{int}} > $ 0.4 (lower left) categories are shown. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ a_2 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 3-a:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0+}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{0+}] $ in the Resolved VH (upper right) and Boosted VH (lower right) channels. For the VBF channel, the $ \mathcal{D}_{\text{int}} < $ 0.4 (upper left) and VBF $ \mathcal{D}_{\text{int}} > $ 0.4 (lower left) categories are shown. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ a_2 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 3-b:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0+}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{0+}] $ in the Resolved VH (upper right) and Boosted VH (lower right) channels. For the VBF channel, the $ \mathcal{D}_{\text{int}} < $ 0.4 (upper left) and VBF $ \mathcal{D}_{\text{int}} > $ 0.4 (lower left) categories are shown. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ a_2 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 3-c:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0+}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{0+}] $ in the Resolved VH (upper right) and Boosted VH (lower right) channels. For the VBF channel, the $ \mathcal{D}_{\text{int}} < $ 0.4 (upper left) and VBF $ \mathcal{D}_{\text{int}} > $ 0.4 (lower left) categories are shown. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ a_2 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 3-d:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{0+}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{0+}] $ in the Resolved VH (upper right) and Boosted VH (lower right) channels. For the VBF channel, the $ \mathcal{D}_{\text{int}} < $ 0.4 (upper left) and VBF $ \mathcal{D}_{\text{int}} > $ 0.4 (lower left) categories are shown. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ a_2 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 4:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ in the Resolved VH (center) and Boosted VH (right) channels. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ \kappa_1\Lambda_1 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 4-a:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ in the Resolved VH (center) and Boosted VH (right) channels. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ \kappa_1\Lambda_1 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 4-b:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ in the Resolved VH (center) and Boosted VH (right) channels. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ \kappa_1\Lambda_1 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 4-c:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}] $ in the Resolved VH (center) and Boosted VH (right) channels. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ \kappa_1\Lambda_1 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 5:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ in the Resolved VH (center) and Boosted VH (right) channels. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ \kappa_2^{\mathrm{Z}\gamma}\Lambda_1^{Z\gamma} \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 5-a:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ in the Resolved VH (center) and Boosted VH (right) channels. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ \kappa_2^{\mathrm{Z}\gamma}\Lambda_1^{Z\gamma} \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 5-b:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ in the Resolved VH (center) and Boosted VH (right) channels. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ \kappa_2^{\mathrm{Z}\gamma}\Lambda_1^{Z\gamma} \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 5-c:
Distribution of events for $ [\mathcal{D}_\text{VBF}, m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ in the VBF channel (left), and for $ [m_{\ell\ell}, \mathcal{D}_{\Lambda 1}^{\mathrm{Z}\gamma}] $ in the Resolved VH (center) and Boosted VH (right) channels. The binning strategy for each discriminant is described in Section 8.1. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ \kappa_2^{\mathrm{Z}\gamma}\Lambda_1^{Z\gamma} \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 6:
Distribution of events for $ [m_{\mathrm{T}}, m_{\ell\ell}] $ in the 0- (left) and 1-jet (right) $ \mathrm{g}\mathrm{g}\mathrm{H} $ channels. The binning strategy for the discriminant is described in Section 8.2. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ a_3 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 6-a:
Distribution of events for $ [m_{\mathrm{T}}, m_{\ell\ell}] $ in the 0- (left) and 1-jet (right) $ \mathrm{g}\mathrm{g}\mathrm{H} $ channels. The binning strategy for the discriminant is described in Section 8.2. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ a_3 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 6-b:
Distribution of events for $ [m_{\mathrm{T}}, m_{\ell\ell}] $ in the 0- (left) and 1-jet (right) $ \mathrm{g}\mathrm{g}\mathrm{H} $ channels. The binning strategy for the discriminant is described in Section 8.2. The predicted Higgs boson signal and background distributions are shown after the fit to the data. For the fit, the $ a_{1} $ and $ a_3 \mathrm{H}\mathrm{V}\mathrm{V} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 7:
Distributions of events for $ [\mathcal{D}_\text{VBF} $, $ \mathcal{D}^{\mathrm{g}\mathrm{g}\mathrm{H}}_{0-}] $ in the 2-jet $ \mathrm{g}\mathrm{g}\mathrm{H} $ 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. The binning strategy for the discriminant is described in Section 8.3. The predicted Higgs boson signal and background distributions are shown after the fit to the data. In this case, the VBF and $ \mathrm{g}\mathrm{g}\mathrm{H} $ signals are shown separately. For the fit, the $ a_{1} $ and $ a_3 \mathrm{H}\mathrm{g}\mathrm{g} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 7-a:
Distributions of events for $ [\mathcal{D}_\text{VBF} $, $ \mathcal{D}^{\mathrm{g}\mathrm{g}\mathrm{H}}_{0-}] $ in the 2-jet $ \mathrm{g}\mathrm{g}\mathrm{H} $ 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. The binning strategy for the discriminant is described in Section 8.3. The predicted Higgs boson signal and background distributions are shown after the fit to the data. In this case, the VBF and $ \mathrm{g}\mathrm{g}\mathrm{H} $ signals are shown separately. For the fit, the $ a_{1} $ and $ a_3 \mathrm{H}\mathrm{g}\mathrm{g} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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Figure 7-b:
Distributions of events for $ [\mathcal{D}_\text{VBF} $, $ \mathcal{D}^{\mathrm{g}\mathrm{g}\mathrm{H}}_{0-}] $ in the 2-jet $ \mathrm{g}\mathrm{g}\mathrm{H} $ 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. The binning strategy for the discriminant is described in Section 8.3. The predicted Higgs boson signal and background distributions are shown after the fit to the data. In this case, the VBF and $ \mathrm{g}\mathrm{g}\mathrm{H} $ signals are shown separately. For the fit, the $ a_{1} $ and $ a_3 \mathrm{H}\mathrm{g}\mathrm{g} $ coupling contributions are considered. More details are given in the caption of Fig. 2. |
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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. |
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Figure 8-a:
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. |
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Figure 8-b:
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. |
png pdf |
Figure 8-c:
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. |
png pdf |
Figure 8-d:
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. |
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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. |
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Figure 9-a:
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. |
png pdf |
Figure 9-b:
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. |
png pdf |
Figure 9-c:
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. |
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Figure 10:
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. |
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Figure 10-a:
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 10-b:
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 10-c:
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 10-d:
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 11:
Expected (dashed) and observed (solid) profiled likelihood on $ f_{a3}^{\mathrm{g}\mathrm{g}\mathrm{H}} $. The signal strength modifiers and the CP-odd $ \mathrm{H}\mathrm{V}\mathrm{V} $ 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. |
png pdf |
Figure 12:
The observed correlation coefficients between $ \mathrm{H}\mathrm{V}\mathrm{V} $ anomalous coupling cross section fractions and signal strength modifiers (left) and between SMEFT Higgs basis coupling parameters (right). |
png pdf |
Figure 12-a:
The observed correlation coefficients between $ \mathrm{H}\mathrm{V}\mathrm{V} $ anomalous coupling cross section fractions and signal strength modifiers (left) and between SMEFT Higgs basis coupling parameters (right). |
png pdf |
Figure 12-b:
The observed correlation coefficients between $ \mathrm{H}\mathrm{V}\mathrm{V} $ anomalous coupling cross section fractions and signal strength modifiers (left) and between SMEFT Higgs basis coupling parameters (right). |
| Tables | |
png pdf |
Table 1:
The cross sections for the anomalous contributions ($ \sigma_i $) relative to the SM value ($ \sigma_1 $) used to define the fractional cross sections $ f_{ai} $. In the case of the $ \kappa_{1} $ and $ \kappa_{2}^{\mathrm{Z}\gamma} $ couplings, the numerical values $ \Lambda_1 = \Lambda_1^{\mathrm{Z}\gamma} = $ 100 GeV are considered so as to keep all coefficients of similar order of magnitude. Two sets of values corresponding to the $ a_{i}^{\mathrm{Z}\mathrm{Z}} = a_{i}^{\mathrm{W}\mathrm{W}} $ (Approach 1) and SU(2) x U(1) (Approach 2) coupling relationships are shown. |
png pdf |
Table 2:
Summary of the base selection criteria. |
png pdf |
Table 3:
Summary of the $ \mathrm{g}\mathrm{g}\mathrm{H} $, VBF, and VH channel selections used for the $ \mathrm{H}\mathrm{V}\mathrm{V} $ coupling study. |
png pdf |
Table 4:
Summary of $ \mathrm{g}\mathrm{g}\mathrm{H} $ channel selections used for the $ \mathrm{H}\mathrm{g}\mathrm{g} $ 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 $ \mathrm{H}\mathrm{V}\mathrm{V} $ and $ \mathrm{H}\mathrm{g}\mathrm{g} $ couplings. For each of the anomalous $ \mathrm{H}\mathrm{V}\mathrm{V} $ 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 $ \mathrm{H}\mathrm{V}\mathrm{V} $ couplings simultaneously. |
png pdf |
Table 7:
Summary of constraints on the anomalous $ \mathrm{H}\mathrm{V}\mathrm{V} $ and $ \mathrm{H}\mathrm{g}\mathrm{g} $ coupling parameters with the best-fit values and allowed 68% and 95 $ % \text{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 expected and observed constraints on the SMEFT Higgs basis coupling parameters. |
png pdf |
Table 9:
Summary of expected and observed constraints on the SMEFT Warsaw basis coupling parameters. |
| Summary |
| This note presents a study of the anomalous couplings of the Higgs boson (H) with vector bosons, including CP violation effects, using its associated production with hadronic jets in gluon fusion, 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 proton-proton collision data set collected by the CMS detector at the LHC during 2016-2018, corresponding to an integrated luminosity of 138 fb$ ^{-1} $ at a center-of-mass energy of 13 TeV. The analysis targets the different-flavor dilepton (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. These results significantly surpass that of the previous $ \mathrm{H}\to\mathrm{W}\mathrm{W} $ anomalous coupling analysis from the CMS experiment in both precision and coverage. |
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