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| CMS-HIG-18-002 ; CERN-EP-2018-329 | ||
| Measurements of the Higgs boson width and anomalous HVV couplings from on-shell and off-shell production in the four-lepton final state | ||
| CMS Collaboration | ||
| 1 January 2019 | ||
| Phys. Rev. D 99 (2019) 112003 | ||
| Abstract: Studies of on-shell and off-shell Higgs boson production in the four-lepton final state are presented, using data from the CMS experiment at the LHC that correspond to an integrated luminosity of 80.2 fb$^{-1}$ at a center-of-mass energy of 13 TeV. Joint constraints are set on the Higgs boson total width and parameters that express its anomalous couplings to two electroweak vector bosons. These results are combined with those obtained from the data collected at center-of-mass energies of 7 and 8 TeV, corresponding to integrated luminosities of 5.1 and 19.7 fb$^{-1}$, respectively. Kinematic information from the decay particles and the associated jets are combined using matrix element techniques to identify the production mechanism and to increase sensitivity to the Higgs boson couplings in both production and decay. The constraints on anomalous HVV couplings are found to be consistent with the standard model expectation in both the on-shell and off-shell regions. Under the assumption of a coupling structure similar to that in the standard model, the Higgs boson width is constrained to be 3.2$^{+2.8}_{-2.2}$ MeV while the expected constraint based on simulation is 4.1$^{+5.0}_{-4.0}$ MeV. The constraints on the width remain similar with the inclusion of the tested anomalous HVV interactions. | ||
| Links: e-print arXiv:1901.00174 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; CADI line (restricted) ; | ||
| Figures & Tables | Summary | Additional Figures | References | CMS Publications |
|---|
| Figures | |
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Figure 1:
Three topologies of the H boson production and decay: vector boson fusion $ {\mathrm{q} \mathrm{q}} \to {\mathrm {VV}} ({\mathrm{q} \mathrm{q}}) \to \mathrm{H} ({\mathrm{q} \mathrm{q}}) \to {\mathrm {VV}} ({\mathrm{q} \mathrm{q}})$ (left); associated production $ {\mathrm{q} \mathrm{q}} \to {\mathrm {V}} \to {\mathrm {V}} \mathrm{H} \to ({\mathrm {f}\mathrm {\overline {f}}})\ \mathrm{H} \to ({\mathrm {f}\mathrm {\overline {f}}})\ {\mathrm {VV}} $ (middle); and gluon fusion $\mathrm{g} \mathrm{g} \to \mathrm{H} \to {\mathrm {VV}} \to 4\ell $ (right) representing the topology without associated particles. The incoming particles are shown in brown, the intermediate vector bosons and their fermion daughters are shown in green, the H boson and its vector boson daughters are shown in red, and angles are shown in blue. In the first two cases the production and decay $\mathrm{H} \to {\mathrm {VV}} $ are followed by the same four-lepton decay shown in the third case. The angles are defined in either the H or V boson rest frames [47,54]. |
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Figure 1-a:
Vector boson fusion $ {\mathrm{q} \mathrm{q}} \to {\mathrm {VV}} ({\mathrm{q} \mathrm{q}}) \to \mathrm{H} ({\mathrm{q} \mathrm{q}}) \to {\mathrm {VV}} ({\mathrm{q} \mathrm{q}})$, representing the topology without associated particles. The incoming particles are shown in brown, the intermediate vector bosons and their fermion daughters are shown in green, the H boson and its vector boson daughters are shown in red, and angles are shown in blue. In the first two cases the production and decay $\mathrm{H} \to {\mathrm {VV}} $ are followed by the same four-lepton decay. The angles are defined in either the H or V boson rest frames [47,54]. |
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Figure 1-b:
Associated production $ {\mathrm{q} \mathrm{q}} \to {\mathrm {V}} \to {\mathrm {V}} \mathrm{H} \to ({\mathrm {f}\mathrm {\overline {f}}})\ \mathrm{H} \to ({\mathrm {f}\mathrm {\overline {f}}})\ {\mathrm {VV}} $, representing the topology without associated particles. The incoming particles are shown in brown, the intermediate vector bosons and their fermion daughters are shown in green, the H boson and its vector boson daughters are shown in red, and angles are shown in blue. In the first two cases the production and decay $\mathrm{H} \to {\mathrm {VV}} $ are followed by the same four-lepton decay. The angles are defined in either the H or V boson rest frames [47,54]. |
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Figure 1-c:
Gluon fusion $\mathrm{g} \mathrm{g} \to \mathrm{H} \to {\mathrm {VV}} \to 4\ell $, representing the topology without associated particles. The incoming particles are shown in brown, the intermediate vector bosons and their fermion daughters are shown in green, the H boson and its vector boson daughters are shown in red, and angles are shown in blue. In the first two cases the production and decay $\mathrm{H} \to {\mathrm {VV}} $ are followed by the same four-lepton decay, as shown. The angles are defined in either the H or V boson rest frames [47,54]. |
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Figure 2:
The distributions of events for $\text{max}\left (\mathcal {D}_\text {2jet}^{{\mathrm {VBF}}}, \mathcal {D}_\text {2jet}^{{\mathrm {VBF}},{\mathrm {0-}}} \right)$ (left) and $\text{max}\left (\mathcal {D}_\text {2jet}^{{\mathrm{W} \mathrm{H}}}, \mathcal {D}_\text {2jet}^{{\mathrm{W} \mathrm{H}},{\mathrm {0-}}}, \mathcal {D}_\text {2jet}^{{\mathrm{Z} \mathrm{H}}}, \mathcal {D}_\text {2jet}^{{\mathrm{Z} \mathrm{H}},{\mathrm {0-}}} \right)$ (right) in the on-shell region in the data from 2016 and 2017 from the analysis of the ${a_{3}}$ coupling for a pseudoscalar contribution. The requirement $ {{\mathcal {D}}_{\text {bkg}}} > $ 0.5 is applied in order to enhance the signal contribution over the background. The VBF signal under both the SM and pseudoscalar hypotheses is enhanced in the region above 0.5 for the former variable, and the WH and ZH signals are similarly enhanced in the region above 0.5 for the latter variable. |
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Figure 2-a:
The distribution of events for $\text{max}\left (\mathcal {D}_\text {2jet}^{{\mathrm {VBF}}}, \mathcal {D}_\text {2jet}^{{\mathrm {VBF}},{\mathrm {0-}}} \right)$ in the on-shell region in the data from 2016 and 2017 from the analysis of the ${a_{3}}$ coupling for a pseudoscalar contribution. The requirement $ {{\mathcal {D}}_{\text {bkg}}} > $ 0.5 is applied in order to enhance the signal contribution over the background. The VBF signal under both the SM and pseudoscalar hypotheses is enhanced in the region above 0.5 for the former variable, and the WH and ZH signals are similarly enhanced in the region above 0.5 for the latter variable. |
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Figure 2-b:
The distribution of events for $\text{max}\left (\mathcal {D}_\text {2jet}^{{\mathrm{W} \mathrm{H}}}, \mathcal {D}_\text {2jet}^{{\mathrm{W} \mathrm{H}},{\mathrm {0-}}}, \mathcal {D}_\text {2jet}^{{\mathrm{Z} \mathrm{H}}}, \mathcal {D}_\text {2jet}^{{\mathrm{Z} \mathrm{H}},{\mathrm {0-}}} \right)$ in the on-shell region in the data from 2016 and 2017 from the analysis of the ${a_{3}}$ coupling for a pseudoscalar contribution. The requirement $ {{\mathcal {D}}_{\text {bkg}}} > $ 0.5 is applied in order to enhance the signal contribution over the background. The VBF signal under both the SM and pseudoscalar hypotheses is enhanced in the region above 0.5 for the former variable, and the WH and ZH signals are similarly enhanced in the region above 0.5 for the latter variable. |
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Figure 3:
The distributions of events in the on-shell region in the data from 2016 and 2017. The top row shows ${{\mathcal {D}}_{\text {bkg}}}$ in the VBF-tagged (left), VH-tagged (middle), and untagged (right) categories of the analysis of the ${a_{3}}$ coupling for a pseudoscalar contribution. The rest of the distributions are shown with the requirement $ {{\mathcal {D}}_{\text {bkg}}} > $ 0.5 in order to enhance signal over background contributions. The middle row shows $\mathcal {D}_{0-}$ in the corresponding three categories. The bottom row shows $\mathcal {D}_{CP}^\text {dec}$ of the ${a_{3}}$, $\mathcal {D}_{0h+}^\text {dec}$ of the ${a_{2}}$, and $\mathcal {D}_{\Lambda 1}^\text {dec}$ of the ${\Lambda _{1}}$ analyses in the untagged categories. |
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Figure 3-a:
Distribution of $\mathcal {D}_{\rm bkg}$ in the VBF-tagged category of the ${a_{3}}$ analysis for events events in the on-shell region in the data from 2016 and 2017. |
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Figure 3-b:
Distribution of $\mathcal {D}_{\rm bkg}$ in the VH-tagged category of the ${a_{3}}$ analysis for events events in the on-shell region in the data from 2016 and 2017. |
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Figure 3-c:
Distribution of $\mathcal {D}_{\rm bkg}$ in the untagged category of the ${a_{3}}$ analysis for events events in the on-shell region in the data from 2016 and 2017. |
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Figure 3-d:
Distribution of $\mathcal {D}_{0-}$ in the VBF-tagged category of the ${a_{3}}$ analysis for events events in the on-shell region in the data from 2016 and 2017. The distribution is shown with the requirement $\mathcal {D}_{\rm bkg} > $ 0.5 in order to enhance signal over background contributions. |
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Figure 3-e:
Distribution of $\mathcal {D}_{0-}$ in the VH-tagged category of the ${a_{3}}$ analysis for events events in the on-shell region in the data from 2016 and 2017. The distribution is shown with the requirement $\mathcal {D}_{\rm bkg} > $ 0.5 in order to enhance signal over background contributions. |
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Figure 3-f:
Distribution of $\mathcal {D}_{0-}$ in the untagged category of the ${a_{3}}$ analysis for events events in the on-shell region in the data from 2016 and 2017. The distribution is shown with the requirement $\mathcal {D}_{\rm bkg} > $ 0.5 in order to enhance signal over background contributions. |
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Figure 3-g:
Distribution of $\mathcal {D}_{CP}^{\rm dec}$ of the ${a_{3}}$ analysis in the untagged category, for events events in the on-shell region in the data from 2016 and 2017. The distribution is shown with the requirement $\mathcal {D}_{\rm bkg} > $ 0.5 in order to enhance signal over background contributions. |
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Figure 3-h:
Distribution of $\mathcal {D}_{0h+}^{\rm dec}$ of the ${a_{2}}$ analysis in the untagged category, for events events in the on-shell region in the data from 2016 and 2017. The distribution is shown with the requirement $\mathcal {D}_{\rm bkg} > $ 0.5 in order to enhance signal over background contributions. |
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Figure 3-i:
Distribution of $\mathcal {D}_{\Lambda 1}^{\rm dec}$ of the ${\Lambda _{1}}$ analysis in the untagged category, for events events in the on-shell region in the data from 2016 and 2017. The distribution is shown with the requirement $\mathcal {D}_{\rm bkg} > $ 0.5 in order to enhance signal over background contributions. |
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Figure 4:
The distributions of events in the off-shell region in the data from 2016 and 2017. The top row shows $ {m_{4\ell}} $ in the VBF-tagged (left), VH-tagged (middle), and untagged (right) categories in the dedicated SM-like width analysis where a requirement on $\mathcal {D}^{{{\mathrm {VBF}}}+{\text {dec}}}_\text {bkg}$, $\mathcal {D}^{{{{\mathrm {V}} \mathrm{H}}}+{\text {dec}}}_\text {bkg}$, or $ {{\mathcal {D}}^{\text {kin}}_{\text {bkg}}} > $ 0.6 is applied in order to enhance signal over background contributions. The middle row shows $\mathcal {D}^{{{\mathrm {VBF}}}+{\text {dec}}}_\text {bkg}$ (left), $\mathcal {D}^{{{{\mathrm {V}} \mathrm{H}}}+{\text {dec}}}_\text {bkg}$ (middle), $\mathcal {D}^\text {kin}_\text {bkg}$ (right) of the ${a_{3}}$ analysis in the corresponding three categories. The requirement $ {m_{4\ell}} > $ 340 GeV is applied in order to enhance signal over background contributions. The bottom row shows $\mathcal {D}_\mathrm {bsi}$ in the corresponding three categories in the dedicated SM-like width analysis with both of the ${m_{4\ell}}$ and ${{\mathcal {D}}^{\text {kin}}_{\text {bkg}}}$ requirements enhancing the signal contribution. The acronym $\mathrm {s}+\mathrm {b}+\mathrm {i}$ designates the sum of the signal (s), background (b), and their interference contributions (i). |
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Figure 4-a:
The distribution of $ {m_{4\ell}} $ for events in the off-shell region in the data from 2016 and 2017, in the VBF-tagged category. The distribution is obtained in the dedicated SM-like width analysis where a requirement on $\mathcal {D}^{{\rm VBF}+{\rm dec}}_{\rm bkg} > $ 0.6 is applied in order to enhance signal over background contributions. |
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Figure 4-b:
The distribution of $ {m_{4\ell}} $ for events in the off-shell region in the data from 2016 and 2017, in the VH-tagged category. The distribution is obtained in the dedicated SM-like width analysis where a requirement on $ \mathcal {D}^{{\mathrm {V}} {\mathrm {H}} +{\rm dec}}_{\rm bkg} > $ 0.6 is applied in order to enhance signal over background contributions. |
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Figure 4-c:
The distribution of $ {m_{4\ell}} $ for events in the off-shell region in the data from 2016 and 2017, in the untagged category. The distribution is obtained in the dedicated SM-like width analysis where a requirement on $ \mathcal {D}_{\rm bkg} > $ 0.6 is applied in order to enhance signal over background contributions. |
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Figure 4-d:
The distribution of $\mathcal {D}^{{\rm VBF}+{\rm dec}}_{\rm bkg}$ of the ${a_{3}}$ analysis, for events in the off-shell region in the data from 2016 and 2017, in the VBF-tagged category. The requirement $ {m_{4\ell}} > $ 340 GeV is applied in order to enhance signal over background contributions. |
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Figure 4-e:
The distribution of $\mathcal {D}^{{\mathrm {V}} {\mathrm {H}} +{\rm dec}}_{\rm bkg}$ of the ${a_{3}}$ analysis, for events in the off-shell region in the data from 2016 and 2017, in the VH-tagged category. The requirement $ {m_{4\ell}} > $ 340 GeV is applied in order to enhance signal over background contributions. |
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Figure 4-f:
The distribution of $\mathcal {D}^{\rm kin}_{\rm bkg}$ of the ${a_{3}}$ analysis, for events in the off-shell region in the data from 2016 and 2017, in the untagged category. The requirement $ {m_{4\ell}} > $ 340 GeV is applied in order to enhance signal over background contributions. |
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Figure 4-g:
The distribution of $\mathcal {D}_{\rm bsi}$ for events in the off-shell region in the data from 2016 and 2017, in the VBF-tagged category. The distribution is obtained in the dedicated SM-like width analysis where a requirement on $\mathcal {D}^{{\rm VBF}+{\rm dec}}_{\rm bkg} > $ 0.6, and the requirement $ {m_{4\ell}} > $ 340 GeV, are applied in order to enhance signal over background contributions. |
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Figure 4-h:
The distribution of $\mathcal {D}_{\rm bsi}$ for events in the off-shell region in the data from 2016 and 2017, in the VH-tagged category. The distribution is obtained in the dedicated SM-like width analysis where a requirement on $\mathcal {D}^{{\mathrm {V}} {\mathrm {H}} +{\rm dec}}_{\rm bkg} > $ 0.6, and the requirement $ {m_{4\ell}} > $ 340 GeV, are applied in order to enhance signal over background contributions. |
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Figure 4-i:
The distribution of $\mathcal {D}_{\rm bsi}$ for events in the off-shell region in the data from 2016 and 2017, in the untagged category. The distribution is obtained in the dedicated SM-like width analysis where a requirement on $\mathcal {D}_{\rm bkg} > $ 0.6, and the requirement $ {m_{4\ell}} > $ 340 GeV, are applied in order to enhance signal over background contributions. |
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Figure 5:
Observed (solid) and expected (dashed) likelihood scans of ${{f_{a 3}} {\cos\left ({\phi _{a 3}} \right)}}$ (top left), ${{f_{a 2}} {\cos\left ({\phi _{a 2}} \right)}}$ (top right), ${{f_{\Lambda 1}} {\cos\left ({\phi _{\Lambda 1}} \right)}}$ (bottom left), and ${{{f_{\Lambda 1}} ^{\mathrm{Z} \gamma}} {\cos\left ({{\phi _{\Lambda 1}} ^{\mathrm{Z} \gamma}} \right)}}$ (bottom right) using on-shell events only. Results of analysis of the data from 2016 and 2017 only (black) and the combined Run 1 and Run 2 analysis (red) are shown. The dashed horizontal lines show the 68 and 95% CL regions. |
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Figure 5-a:
Observed (solid) and expected (dashed) likelihood scans of $ {{f_{a 2}} {\cos\left ({\phi _{a 2}} \right)}} $, using on-shell events only. Results of analysis of the data from 2016 and 2017 only (black) and the combined Run 1 and Run 2 analysis (red) are shown. The dashed horizontal lines show the 68% and 95% CL regions. |
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Figure 5-b:
Observed (solid) and expected (dashed) likelihood scans of ${{f_{a 3}} {\cos ({\phi _{a 3}} )}}$, using on-shell events only. Results of analysis of the data from 2016 and 2017 only (black) and the combined Run 1 and Run 2 analysis (red) are shown. The dashed horizontal lines show the 68% and 95% CL regions. |
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Figure 5-c:
Observed (solid) and expected (dashed) likelihood scans of $ {{f_{\Lambda 1}} {\cos\left ({\phi _{\Lambda 1}} \right)}} $, using on-shell events only. Results of analysis of the data from 2016 and 2017 only (black) and the combined Run 1 and Run 2 analysis (red) are shown. The dashed horizontal lines show the 68% and 95% CL regions. |
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Figure 5-d:
Observed (solid) and expected (dashed) likelihood scans of $ {{{f_{\Lambda 1}} ^{{\mathrm {Z}} \gamma}} {\cos\left ({{\phi _{\Lambda 1}} ^{{\mathrm {Z}} \gamma}} \right)}} $, using on-shell events only. Results of analysis of the data from 2016 and 2017 only (black) and the combined Run 1 and Run 2 analysis (red) are shown. The dashed horizontal lines show the 68% and 95% CL regions. |
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Figure 6:
Constraints on ${{f_{a 3}} {\cos\left ({\phi _{a 3}} \right)}}$ (top), ${{f_{a 2}} {\cos\left ({\phi _{a 2}} \right)}}$ (middle), and ${{f_{\Lambda 1}} {\cos\left ({\phi _{\Lambda 1}} \right)}}$ (bottom) from the combined Run 1 and Run 2 data set using both on-shell and off-shell events. Left plots: likelihood scans of the parameters of interest with unconstrained ${\Gamma _\mathrm{H}}$ (red) or assuming $ {\Gamma _\mathrm{H}} = {\Gamma _\mathrm{H} ^{\mathrm {SM}}} $ (blue). The dashed horizontal lines show the 68 and 95% CL regions. Right plots: observed two-parameter (${\Gamma _\mathrm{H}}$, ${{f_{a i}} {\cos\left ({\phi _{a i}} \right)}}$) likelihood scans. The two-parameter 68 and 95% CL regions are indicated with the dashed and solid curves, respectively. |
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Figure 6-a:
Constraints on $ {{f_{a 3}} {\cos\left ({\phi _{a 3}} \right)}} $ from the combined Run 1 and Run 2 data set using both on-shell and off-shell events: Likelihood scans of the parameters of interest with unconstrained $ {\Gamma _ {\mathrm {H}}} $ (red) or assuming $ {\Gamma _ {\mathrm {H}}} = {\Gamma _ {\mathrm {H}} ^{\mathrm {SM}}} $ (blue). The dashed horizontal lines show the 68 and 95% CL regions. |
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Figure 6-b:
Constraints on $ {{f_{a 3}} {\cos\left ({\phi _{a 3}} \right)}} $ from the combined Run 1 and Run 2 data set using both on-shell and off-shell events: Observed two-parameter (${\Gamma _ {\mathrm {H}}}, {{f_{a i}} {\cos\left ({\phi _{a i}} \right)}}$) likelihood scans. The two-parameter 68 and 95% CL regions are indicated with the dashed and solid curves, respectively. |
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Figure 6-c:
Constraints on $ {{f_{a 2}} {\cos\left ({\phi _{a 2}} \right)}} $ from the combined Run 1 and Run 2 data set using both on-shell and off-shell events: Likelihood scans of the parameters of interest with unconstrained $ {\Gamma _ {\mathrm {H}}} $ (red) or assuming $ {\Gamma _ {\mathrm {H}}} = {\Gamma _ {\mathrm {H}} ^{\mathrm {SM}}} $ (blue). The dashed horizontal lines show the 68 and 95% CL regions. |
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Figure 6-d:
Constraints on $ {{f_{a 2}} {\cos\left ({\phi _{a 2}} \right)}} $ from the combined Run 1 and Run 2 data set using both on-shell and off-shell events: Observed two-parameter (${\Gamma _ {\mathrm {H}}}, {{f_{a i}} {\cos\left ({\phi _{a i}} \right)}}$) likelihood scans. The two-parameter 68 and 95% CL regions are indicated with the dashed and solid curves, respectively. |
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Figure 6-e:
Constraints on $ {{f_{\Lambda 1}} {\cos\left ({\phi _{\Lambda 1}} \right)}} $ from the combined Run 1 and Run 2 data set using both on-shell and off-shell events: Likelihood scans of the parameters of interest with unconstrained $ {\Gamma _ {\mathrm {H}}} $ (red) or assuming $ {\Gamma _ {\mathrm {H}}} = {\Gamma _ {\mathrm {H}} ^{\mathrm {SM}}} $ (blue). The dashed horizontal lines show the 68 and 95% CL regions. |
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Figure 6-f:
Constraints on $ {{f_{\Lambda 1}} {\cos\left ({\phi _{\Lambda 1}} \right)}} $ from the combined Run 1 and Run 2 data set using both on-shell and off-shell events: Observed two-parameter (${\Gamma _ {\mathrm {H}}}, {{f_{a i}} {\cos\left ({\phi _{a i}} \right)}}$) likelihood scans. The two-parameter 68 and 95% CL regions are indicated with the dashed and solid curves, respectively. |
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Figure 7:
Observed (solid) and expected (dashed) likelihood scans of ${\Gamma _\mathrm{H}}$. Left plot: results of the SM-like couplings analysis are shown using the data only from 2016 and 2017 (black) or from the combination of Run 1 and Run 2 (red), which do not include 2015 data. Right plot: results of the combined Run 1 and Run 2 data analyses, with 2015 data included in the on-shell case, for the SM-like couplings or with three unconstrained anomalous coupling parameters, ${{f_{a 3}} {\cos\left ({\phi _{a 3}} \right)}}$ (red), ${{f_{a 2}} {\cos\left ({\phi _{a 2}} \right)}}$ (blue), and ${{f_{\Lambda 1}} {\cos\left ({\phi _{\Lambda 1}} \right)}}$ (violet). The dashed horizontal lines show the 68% and 95% CL regions. |
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Figure 7-a:
Observed (solid) and expected (dashed) likelihood scans of ${\Gamma _ {\mathrm {H}}}$: Results of the SM-like couplings analysis are shown using the data only from 2016 and 2017 (black) or from the combination of Run 1 and Run 2 (red), which do not include 2015 data. |
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Figure 7-b:
Observed (solid) and expected (dashed) likelihood scans of ${\Gamma _ {\mathrm {H}}}$: Results of the combined Run 1 and Run 2 data analyses, with 2015 data included in the on-shell case, for the SM-like couplings or with three unconstrained anomalous coupling parameters, $ {{f_{a 3}} {\cos\left ({\phi _{a 3}} \right)}} $ (red), $ {{f_{a 2}} {\cos\left ({\phi _{a 2}} \right)}} $ (blue), and $ {{f_{\Lambda 1}} {\cos\left ({\phi _{\Lambda 1}} \right)}} $ (violet). The dashed horizontal lines show the 68% and 95% CL regions. |
| Tables | |
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Table 1:
List of the anomalous HVV couplings considered in the measurements assuming a spin-zero H boson. The definition of the effective fractions $ {f_{a i}} $ is discussed in the text and the translation constants are the cross-section ratios corresponding to the processes $\mathrm{H} \to 2\mathrm{e} 2\mu $ with the H boson mass $m_{\mathrm{H}} = $ 125 GeV and calculated using JHUGen [47,50,54]. |
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Table 2:
Summary of the three production categories in the on-shell ${m_{4\ell}}$ region. The selection requirements on the $\mathcal {D}_\text {2jet}$ discriminants are quoted for each category, and further requirements can be found in the text. Two or three observables (abbreviated as obs.) are listed for each analysis and for each category. All discriminants are calculated with the JHUGen signal matrix elements and mcfm background matrix elements. The discriminants ${{\mathcal {D}}_{\text {bkg}}}$ in the tagged categories also include probabilities using associated jets and decay in addition to the ${m_{4\ell}}$ probability. The VH interference discriminants in the hadronic VH-tagged categories are defined as the simple average of the ones corresponding to the WH and ZH processes. |
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Table 3:
Summary of the three production categories in the off-shell ${m_{4\ell}}$ region, listed in a similar manner, as in Table 2. All discriminants are calculated with the JHUGen or mcfm /JHUGen signal, and mcfm background matrix elements. The VH interference discriminant in the SM-like analysis hadronic VH-tagged category is defined as the simple average of the ones corresponding to the WH and ZH processes. |
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Table 4:
The numbers of events expected in the SM (or $ {f_{a 3}} =$ 1 in parentheses) for the different signal and background contributions and the total numbers of observed events are listed across the three ${a_{3}}$ analysis categories in the on-shell region for the combined 2016 and 2017 data set. |
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Table 5:
The numbers of events expected in the SM-like analysis (or $ {f_{a 3}} =$ 0 in the ${a_{3}}$ analysis categorization, divided with a vertical bar) for the different signal and background contributions and the total observed numbers of events are listed across the three SM $|$ ${a_{3}}$ analysis categories in the off-shell region for the combined 2016 and 2017 data set. The signal, background, and interference contributions are shown separately for the gluon fusion (gg) and EW processes (VV) under the $ {\Gamma _\mathrm{H}} = {\Gamma _\mathrm{H} ^{\mathrm {SM}}} $ assumption. |
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Table 6:
Summary of allowed 68% CL (central values with uncertainties) and 95% CL (in square brackets) intervals for the anomalous coupling parameters ${{f_{a i}} {\cos\left ({\phi _{a i}} \right)}}$ obtained from the analysis of the combination of Run 1 (only on-shell) and Run 2 (on-shell and off-shell) data sets. Three constraint scenarios are shown: using only on-shell events, using both on-shell and off-shell events with the $ {\Gamma _\mathrm{H}} $ left unconstrained, or with the constraint $ {\Gamma _\mathrm{H}} = {\Gamma _\mathrm{H} ^{\mathrm {SM}}} $. |
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Table 7:
Summary of the allowed 95% CL intervals for the anomalous HVV couplings using results in Table 7. The coupling ratios are assumed to be real and include the factor $ {\cos\left ({\phi _{\Lambda 1}} \right)} $ or $ {\cos\left ({{\phi _{\Lambda 1}} ^{\mathrm{Z} \gamma}} \right)} = \pm$1. |
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Table 8:
Summary of the total width ${\Gamma _\mathrm{H}}$ measurement, showing the allowed 68% CL (central values with uncertainties) and 95% CL (in square brackets). The limits are reported for the SM-like couplings using the Run 1 and Run 2 combination. |
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Table 9:
Summary of the total width ${\Gamma _\mathrm{H}}$ measurements, showing allowed 68% CL (central values with uncertainties) and 95% CL (in square brackets). The ${\Gamma _\mathrm{H}}$ limits are reported for the anomalous coupling parameter of interest unconstrained using the Run 1 and Run 2 combination. |
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Table 10:
Summary of allowed 68% CL (central values with uncertainties) and 95% CL (in square brackets) intervals for $\mu ^\text {off-shell}$, $ {\mu _{{\mathrm {F}}}} ^\text {off-shell}$, and $ {\mu _{{\mathrm {V}}}} ^\text {off-shell}$ obtained from the analysis of the combination of Run 1 and Run 2 off-shell data sets. |
| Summary |
| Studies of on-shell and off-shell H boson production in the four-lepton final state are presented, using data from the CMS experiment at the LHC that correspond to an integrated luminosity of 80.2 fb$^{-1}$ at a center-of-mass energy of 13 TeV. Joint constraints are set on the H boson total width and parameters that express its anomalous couplings to two electroweak vector bosons. These results are combined with those obtained from the data collected at center-of-mass energies of 7 and 8 TeV, corresponding to integrated luminosities of 5.1 and 19.7 fb$^{-1}$, respectively. Kinematic information from the decay particles and the associated jets are combined using matrix element techniques to identify the production mechanism and increase sensitivity to the H boson couplings in both production and decay. The constraints on anomalous HVV couplings are found to be consistent with the standard model expectation in both on-shell and off-shell regions, as presented in Tables 6 and 7. Under the assumption of a coupling structure similar to that in the standard model, the H boson width is constrained to be 3.2$^{+2.8}_{-2.2}$ MeV while the expected constraint based on simulation is 4.1$^{+5.0}_{-4.0}$ MeV, as shown in Table 8. The constraints on the width remain similar with the inclusion of the tested anomalous HVV interactions and are summarized in Table 9. The width results are also interpreted in terms of the H boson signal strength in the off-shell region in Table 10. The observed off-shell signal strength, or equivalently a nonzero value of the width, is more than 2 standard deviations away from a background-only hypothesis, which provides a new direction to measure H boson properties when more data are available. |
| Additional Figures | |
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Additional Figure 1:
The distributions of events for $\text{max}\left (\mathcal {D}_\text {2jet}^{\text {VBF}}, \mathcal {D}_\text {2jet}^{\text {VBF},{\mathrm {0h+}}} \right)$ in the on-shell region in the data from 2016 and 2017 from the analysis of the $a_2$ coupling. The requirement $\mathcal {D}_\text {bkg} > $ 0.5 is applied in order to enhance the signal contribution over the background. The VBF signal under both the SM and anomalous hypotheses is enhanced in the region above 0.5. |
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Additional Figure 2:
The distributions of events for $\text{max}\left (\mathcal {D}_\text {2jet}^{{\mathrm {W}} {\mathrm {H}}}, \mathcal {D}_\text {2jet}^{{\mathrm {W}} {\mathrm {H}},{\mathrm {0h+}}}, \mathcal {D}_\text {2jet}^{{\mathrm {Z}} {\mathrm {H}}}, \mathcal {D}_\text {2jet}^{{\mathrm {Z}} {\mathrm {H}},{\mathrm {0h+}}} \right)$ in the on-shell region in the data from 2016 and 2017 from the analysis of the $a_2$ coupling. The requirement $\mathcal {D}_\text {bkg} > $ 0.5 is applied in order to enhance the signal contribution over the background. The WH and ZH signals under both the SM and anomalous hypotheses are enhanced in the region above 0.5. |
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Additional Figure 3:
The distributions of events for $\text{max}\left (\mathcal {D}_\text {2jet}^{\text {VBF}}, \mathcal {D}_\text {2jet}^{\text {VBF},\Lambda 1} \right)$ in the on-shell region in the data from 2016 and 2017 from the analysis of the $\Lambda _1$ coupling. The requirement $\mathcal {D}_\text {bkg} > $ 0.5 is applied in order to enhance the signal contribution over the background. The VBF signal under both the SM and anomalous hypotheses is enhanced in the region above 0.5. |
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Additional Figure 4:
The distributions of events for $\text{max}\left (\mathcal {D}_\text {2jet}^{{\mathrm {W}} {\mathrm {H}}}, \mathcal {D}_\text {2jet}^{{\mathrm {W}} {\mathrm {H}},\Lambda 1}, \mathcal {D}_\text {2jet}^{{\mathrm {Z}} {\mathrm {H}}}, \mathcal {D}_\text {2jet}^{{\mathrm {Z}} {\mathrm {H}},\Lambda 1} \right)$ in the on-shell region in the data from 2016 and 2017 from the analysis of the $\Lambda _1$ coupling. The requirement $\mathcal {D}_\text {bkg} > $ 0.5 is applied in order to enhance the signal contribution over the background. The WH and ZH signals under both the SM and anomalous hypotheses are enhanced in the region above 0.5. |
png pdf |
Additional Figure 5:
The distributions of events for $\text{max}\left (\mathcal {D}_\text {2jet}^{\text {VBF}}, \mathcal {D}_\text {2jet}^{\text {VBF},\Lambda 1 {\mathrm {Z}} \gamma} \right)$ in the on-shell region in the data from 2016 and 2017 from the analysis of the $\Lambda _1^{{\mathrm {Z}} \gamma}$ coupling. The requirement $\mathcal {D}_\text {bkg} > $ 0.5 is applied in order to enhance the signal contribution over the background. The VBF signal under both the SM and anomalous hypotheses is enhanced in the region above 0.5. |
png pdf |
Additional Figure 6:
The distributions of events for $\text{max}\left (\mathcal {D}_\text {2jet}^{{\mathrm {W}} {\mathrm {H}}}, \mathcal {D}_\text {2jet}^{{\mathrm {Z}} {\mathrm {H}}}, \mathcal {D}_\text {2jet}^{{\mathrm {Z}} {\mathrm {H}},\Lambda 1 {\mathrm {Z}} \gamma} \right)$ in the on-shell region in the data from 2016 and 2017 from the analysis of the $\Lambda _1^{{\mathrm {Z}} \gamma}$ coupling. The requirement $\mathcal {D}_\text {bkg} > $ 0.5 is applied in order to enhance the signal contribution over the background. The WH and ZH signals under both the SM and anomalous hypotheses are enhanced in the region above 0.5. |
png pdf |
Additional Figure 7:
Distributions of $\mathcal {D}_{CP}$ in the on-shell $f_{a3}$ analysis. Two tagging categories are shown: VBF-tagged (a) and VH-tagged (b). The decay or production information used in the discriminants depends on the tagging category. $f_{a3}^\mathrm {VBF}$ and $f_{a3}^{\mathrm {V} {\mathrm {H}}}$ are defined by analogy with $f_{a3}$, but using the cross sections for the VBF and VH processes, respectively. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 7-a:
Distribution of $\mathcal {D}^{\text{VBF}}_{CP}$ in the on-shell $f_{a3}$ analysis for events in the VBF-tagged category. $f_{a3}^\mathrm {VBF}$ is defined by analogy with $f_{a3}$, but using the cross section for the VBF process. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 7-b:
Distribution of $\mathcal {D}^{\text{VH}}_{CP}$ in the on-shell $f_{a3}$ analysis for events in the VH-tagged category. $f_{a3}^{\mathrm {V} {\mathrm {H}}}$ is defined by analogy with $f_{a3}$, but using the cross section for the VH process. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 8:
Distributions of kinematic discriminants in the on-shell $f_{a2}$ analysis: $\mathcal {D}_\mathrm {bkg}$ (a), (d), (g), $\mathcal {D}_{0h+}$ (b), (e), and $\mathcal {D}_\mathrm {int}$ (c), (f), (h). Three tagging categories are shown: VBF-tagged (a)-(c), VH-tagged (d)-(f), and untagged (g), (h). The decay or production information used in the discriminants depends on the tagging category. $f_{a2}^\mathrm {VBF}$ and $f_{a2}^{\mathrm {V} {\mathrm {H}}}$ are defined by analogy with $f_{a2}$, but using the cross sections for the VBF and VH processes, respectively. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 8-a:
Distribution the $\mathcal {D}_\mathrm {bkg}$ kinematic discriminant in the on-shell $f_{a2}$ analysis for events in the VBF-tagged category. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 8-b:
Distribution the $\mathcal {D}^{\text{VBF+dec}}_{0h+}$ kinematic discriminant in the on-shell $f_{a2}$ analysis for events in the VBF-tagged category. $f_{a2}^\mathrm {VBF}$ is defined by analogy with $f_{a2}$, but using the cross section for the VBF processes. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 8-c:
Distribution the $\mathcal {D}^{\text{VBF}}_\mathrm {int}$ kinematic discriminant in the on-shell $f_{a2}$ analysis for events in the VBF-tagged category. $f_{a2}^\mathrm {VBF}$ is defined by analogy with $f_{a2}$, but using the cross section for the VBF processes. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 8-d:
Distribution the $\mathcal {D}_\mathrm {bkg}$ kinematic discriminant in the on-shell $f_{a2}$ analysis for events in the VH-tagged category. $f_{a2}^{\mathrm {V} {\mathrm {H}}}$ is defined by analogy with $f_{a2}$, but using the cross section for the VH processes. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 8-e:
Distribution the $\mathcal {D}^{\text{VH+dec}}_{0h+}$ kinematic discriminant in the on-shell $f_{a2}$ analysis for events in the VH-tagged category. $f_{a2}^{\mathrm {V} {\mathrm {H}}}$ is defined by analogy with $f_{a2}$, but using the cross section for the VH processes. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 8-f:
Distribution the $\mathcal {D}^{\text{VH}}_\mathrm {int}$ kinematic discriminant in the on-shell $f_{a2}$ analysis for events in the VH-tagged category. $f_{a2}^{\mathrm {V} {\mathrm {H}}}$ is defined by analogy with $f_{a2}$, but using the cross section for the VH processes. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 8-g:
Distribution the $\mathcal {D}_\mathrm {bkg}$ kinematic discriminant in the on-shell $f_{a2}$ analysis for events in the untagged category. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 8-h:
Distribution the $\mathcal {D}^{\text{dec}}_\mathrm {int}$ kinematic discriminant in the on-shell $f_{a2}$ analysis for events in the untagged category. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 9:
Distributions of kinematic discriminants in the on-shell $f_{\Lambda 1}$ analysis: $\mathcal {D}_\mathrm {bkg}$ (a), (d), (g), $\mathcal {D}_{\Lambda 1}$ (b), (e), and $\mathcal {D}_{0h+}$ (c), (f), (h). Three tagging categories are shown: VBF-tagged (a)-(c), VH-tagged (d)-(f), and untagged (g), (h). The decay or production information used in the discriminants depends on the tagging category. $f_{\Lambda 1}^\mathrm {VBF}$ and $f_{\Lambda 1}^{\mathrm {V} {\mathrm {H}}}$ are defined by analogy with $f_{\Lambda 1}$, but using the cross sections for the VBF and VH processes, respectively. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 9-a:
Distribution of the $\mathcal {D}_\mathrm {bkg}$ kinematic discriminant in the on-shell $f_{\Lambda 1}$ analysis for events in the VBF-tagged category. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 9-b:
Distribution of the $\mathcal {D}^{\text{VBF+dec}}_{\Lambda 1}$ kinematic discriminant in the on-shell $f_{\Lambda 1}$ analysis for events in the VBF-tagged category. $f_{\Lambda 1}^\mathrm {VBF}$ is defined by analogy with $f_{\Lambda 1}$, but using the cross section for the VBF process. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 9-c:
Distribution of the $\mathcal {D}^{\text{VBF+dec}}_{0h+}$ kinematic discriminant in the on-shell $f_{\Lambda 1}$ analysis for events in the VBF-tagged category. $f_{\Lambda 1}^\mathrm {VBF}$ is defined by analogy with $f_{\Lambda 1}$, but using the cross section for the VBF process. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 9-d:
Distribution of the $\mathcal {D}_\mathrm {bkg}$ kinematic discriminant in the on-shell $f_{\Lambda 1}$ analysis for events in the VH-tagged category. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 9-e:
Distribution of the $\mathcal {D}^{\text{VH+dec}}_{\Lambda 1}$ kinematic discriminant in the on-shell $f_{\Lambda 1}$ analysis for events in the VH-tagged category. $f_{\Lambda 1}^{\mathrm {V} {\mathrm {H}}}$ is defined by analogy with $f_{\Lambda 1}$, but using the cross section for the VH process. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 9-f:
Distribution of the $\mathcal {D}^{\text{VH+dec}}_{0h+}$ kinematic discriminant in the on-shell $f_{\Lambda 1}$ analysis for events in the VH-tagged category. $f_{\Lambda 1}^{\mathrm {V} {\mathrm {H}}}$ is defined by analogy with $f_{\Lambda 1}$, but using the cross section for the VH process. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 9-g:
Distribution of the $\mathcal {D}_\mathrm {bkg}$ kinematic discriminant in the on-shell $f_{\Lambda 1}$ analysis for events in the untagged category. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 9-h:
Distribution of the $\mathcal {D}^{\text{dec}}_{0h+}$ kinematic discriminant in the on-shell $f_{\Lambda 1}$ analysis for events in the untagged category. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 10:
Distributions of kinematic discriminants in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis: $\mathcal {D}_\mathrm {bkg}$ (a), (d), (g), $\mathcal {D}_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ (b), (e), and $\mathcal {D}_{0h+}$ (c), (f), (h). Three tagging categories are shown: VBF-tagged (a)-(c), VH-tagged (d)-(f), and untagged (g), (h). The decay or production information used in the discriminants depends on the tagging category. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 10-a:
Distribution of the $\mathcal {D}_\mathrm {bkg}$ kinematic discriminant in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis for events in the VBF-tagged category. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 10-b:
Distribution of the $\mathcal {D}_{\Lambda 1}^{{\mathrm {Z}} \gamma, \text{VBF+dec}}$ kinematic discriminant in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis for events in the VBF-tagged category. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 10-c:
Distribution of the $\mathcal {D}^{\text{VBF+dec}}_{0h+}$ kinematic discriminant in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis for events in the VBF-tagged category. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 10-d:
Distribution of the $\mathcal {D}_\mathrm {bkg}$ kinematic discriminant in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis for events in the VH-tagged category. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 10-e:
Distribution of the $\mathcal {D}_{\Lambda 1}^{{\mathrm {Z}} \gamma, \text{VH+dec}}$ kinematic discriminant in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis for events in the VH-tagged category. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 10-f:
Distribution of the $\mathcal {D}^{\text{VH+dec}}_{0h+}$ kinematic discriminant in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis for events in the VH-tagged category. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 10-g:
Distribution of the $\mathcal {D}_\mathrm {bkg}$ kinematic discriminant in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis for events in the untagged category. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 10-h:
Distribution of the $\mathcal {D}^{\text{dec}}_{0h+}$ kinematic discriminant in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis for events in the untagged category. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 11:
Distributions of $\mathcal {D}_\mathrm {bkg}$ kinematic discriminants in the off-shell SM-like width analysis. Three tagging categories are shown: VBF-tagged (a), VH-tagged (b), and untagged (c). The decay or production information used in the discriminants depends on the tagging category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 11-a:
Distribution of the $\mathcal {D}^{\text{VBF+dec}}_\mathrm {bkg}$ kinematic discriminant in the off-shell SM-like width analysis for events in the VBF-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 11-b:
Distribution of the $\mathcal {D}^{\text{VH+dec}}_\mathrm {bkg}$ kinematic discriminant in the off-shell SM-like width analysis for events in the VH-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 11-c:
Distribution of the $\mathcal {D}^{\text{kin}}_\mathrm {bkg}$ kinematic discriminant in the off-shell SM-like width analysis for events in the untagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 12:
Distributions of kinematic discriminants in the off-shell $f_{a3}$ analysis: $m_{4\ell}$ (a), (c), (e), and $\mathcal {D}_{0-}$ (b), (d), (f). Three tagging categories are shown: VBF-tagged (a), (b), VH-tagged (c), (d), and untagged (e), (f). The decay or production information used in the discriminants depends on the tagging category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 12-a:
Distribution of $m_{4\ell}$ in the off-shell $f_{a3}$ analysis for events in the VBF-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 12-b:
Distribution of the $\mathcal {D}^{\text{VBF+dec}}_{0-}$ kinematic discriminant in the off-shell $f_{a3}$ analysis for events in the VBF-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 12-c:
Distribution of $m_{4\ell}$ in the off-shell $f_{a3}$ analysis for events in the VH-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 12-d:
Distribution of the $\mathcal {D}^{\text{VH+dec}}_{0-}$ kinematic discriminant in the off-shell $f_{a3}$ analysis for events in the VH-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 12-e:
Distribution of $m_{4\ell}$ in the off-shell $f_{a3}$ analysis for events in the untagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 12-f:
Distribution of the $\mathcal {D}^{\text{dec}}_{0-}$ kinematic discriminant in the off-shell $f_{a3}$ analysis for events in the untagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 13:
Distributions of kinematic discriminants in the off-shell $f_{a2}$ analysis: $m_{4\ell}$ (a), (d), (g), $\mathcal {D}_\mathrm {bkg}$ (b), (e), (h), and $\mathcal {D}_{0h+}$ (c), (f), (i). Three tagging categories are shown: VBF-tagged (a)-(c), VH-tagged (d)-(f), and untagged (g)-(i). The decay or production information used in the discriminants depends on the tagging category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 13-a:
Distribution of $m_{4\ell}$ in the off-shell $f_{a2}$ analysis for events in the VBF-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 13-b:
Distribution of the $\mathcal {D}^{\text{VBF+dec}}_\mathrm {bkg}$ kinematic discriminant in the off-shell $f_{a2}$ analysis for events in the VBF-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 13-c:
Distribution of the $\mathcal {D}^{\text{VBF+dec}}_{0h+}$ kinematic discriminant in the off-shell $f_{a2}$ analysis for events in the VBF-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 13-d:
Distribution of $m_{4\ell}$ in the off-shell $f_{a2}$ analysis for events in the VH-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 13-e:
Distribution of the $\mathcal {D}^{\text{VH+dec}}_\mathrm {bkg}$ kinematic discriminant in the off-shell $f_{a2}$ analysis for events in the VH-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 13-f:
Distribution of the $\mathcal {D}^{\text{VH+dec}}_{0h+}$ kinematic discriminant in the off-shell $f_{a2}$ analysis for events in the VH-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 13-g:
Distribution of $m_{4\ell}$ in the off-shell $f_{a2}$ analysis for events in the untagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 13-h:
Distribution of the $\mathcal {D}^{\text{kin}}_\mathrm {bkg}$ kinematic discriminant in the off-shell $f_{a2}$ analysis for events in the untagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 13-i:
Distribution of the $\mathcal {D}^{\text{dec}}_{0h+}$ kinematic discriminant in the off-shell $f_{a2}$ analysis for events in the untagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 14:
Distributions of kinematic discriminants in the off-shell $f_{\Lambda 1}$ analysis: $m_{4\ell}$ (a), (d), (g), $\mathcal {D}_\mathrm {bkg}$ (b), (e), (h), and $\mathcal {D}_{\Lambda 1}$ (c), (f), (i). Three tagging categories are shown: VBF-tagged (a)-(c), VH-tagged (d)-(f), and untagged (g)-(i). The decay or production information used in the discriminants depends on the tagging category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 14-a:
Distribution of $m_{4\ell}$ in the off-shell $f_{\Lambda 1}$ analysis for events in the VBF-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 14-b:
Distribution of the $\mathcal {D}^{\text{VBF-dec}}_\mathrm {bkg}$ kinematic discriminant in the off-shell $f_{\Lambda 1}$ analysis for events in the VBF-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 14-c:
Distribution of the $\mathcal {D}^{\text{VBF+dec}}_{\Lambda 1}$ kinematic discriminant in the off-shell $f_{\Lambda 1}$ analysis for events in the VBF-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 14-d:
Distribution of $m_{4\ell}$ in the off-shell $f_{\Lambda 1}$ analysis for events in the VH-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 14-e:
Distribution of the $\mathcal {D}^{\text{VH-dec}}_\mathrm {bkg}$ kinematic discriminant in the off-shell $f_{\Lambda 1}$ analysis for events in the VH-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 14-f:
Distribution of the $\mathcal {D}^{\text{VH+dec}}_{\Lambda 1}$ kinematic discriminant in the off-shell $f_{\Lambda 1}$ analysis for events in the VH-tagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 14-g:
Distribution of $m_{4\ell}$ in the off-shell $f_{\Lambda 1}$ analysis for events in the untagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 14-h:
Distribution of the $\mathcal {D}^{\text{kin}}_\mathrm {bkg}$ kinematic discriminant in the off-shell $f_{\Lambda 1}$ analysis for events in the untagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 14-i:
Distribution of the $\mathcal {D}^{\text{dec}}_{\Lambda 1}$ kinematic discriminant in the off-shell $f_{\Lambda 1}$ analysis for events in the untagged category. The requirement $m_{4\ell} > $ 340 GeV is applied in order to enhance signal over background contributions. Points with error bars show data and histograms show expectations for background and SM or BSM signal as indicated in the legend. |
png pdf |
Additional Figure 15:
Observed (solid) and expected (dashed) likelihood scans of $f_{a3}$ (a), $f_{a2}$ (b), and $f_{\Lambda 1}$ (c). Three constraint scenarios are shown: using only on-shell events (green), using both on-shell and off-shell events with the $\Gamma _{{\mathrm {H}}}$ left unconstrained (red), or with the constraint $\Gamma _{{\mathrm {H}}}=\Gamma _{{\mathrm {H}}}^\mathrm {SM}$ (blue). The dashed horizontal lines show the 68 and 95% CL regions. |
png pdf |
Additional Figure 15-a:
Observed (solid) and expected (dashed) likelihood scans of $f_{a3}$. Three constraint scenarios are shown: using only on-shell events (green), using both on-shell and off-shell events with the $\Gamma _{{\mathrm {H}}}$ left unconstrained (red), or with the constraint $\Gamma _{{\mathrm {H}}}=\Gamma _{{\mathrm {H}}}^\mathrm {SM}$ (blue). The dashed horizontal lines show the 68 and 95% CL regions. |
png pdf |
Additional Figure 15-b:
Observed (solid) and expected (dashed) likelihood scans of $f_{a2}$. Three constraint scenarios are shown: using only on-shell events (green), using both on-shell and off-shell events with the $\Gamma _{{\mathrm {H}}}$ left unconstrained (red), or with the constraint $\Gamma _{{\mathrm {H}}}=\Gamma _{{\mathrm {H}}}^\mathrm {SM}$ (blue). The dashed horizontal lines show the 68 and 95% CL regions. |
png pdf |
Additional Figure 15-c:
Observed (solid) and expected (dashed) likelihood scans of $f_{\Lambda 1}$. Three constraint scenarios are shown: using only on-shell events (green), using both on-shell and off-shell events with the $\Gamma _{{\mathrm {H}}}$ left unconstrained (red), or with the constraint $\Gamma _{{\mathrm {H}}}=\Gamma _{{\mathrm {H}}}^\mathrm {SM}$ (blue). The dashed horizontal lines show the 68 and 95% CL regions. |
png pdf |
Additional Figure 16:
Summary of confidence level intervals of anomalous coupling parameters in $ {\mathrm {H}} \mathrm {V}\mathrm {V}$ interactions under the assumption that all the coupling ratios are real ($\phi _{ai}^{\mathrm {V}\mathrm {V}}=0$ or $\pi $). The $ {\mathrm {H}} {\mathrm {Z}} {\mathrm {Z}} + {\mathrm {H}} {\mathrm {W}} {\mathrm {W}}$ coupling limits assume that $a_{i}^{{\mathrm {Z}} {\mathrm {Z}}}=a_{i}^{{\mathrm {W}} {\mathrm {W}}}$. The expected 68% and 95% CL regions are shown as green and yellow bands. The observed intervals for 68% CL are shown as points with error bars, and the excluded regions at 95% CL are indicated with the hatched areas. The limits on $f_{a2,3}^{{\mathrm {Z}} \gamma,\gamma \gamma}$ are from Ref. [25], and the limits on $f_{\Lambda Q}$ are from Ref. [13]. |
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