Loading [MathJax]/jax/output/CommonHTML/jax.js

Compact Muon Solenoid
LHC, CERN

Visit us: CMS Public Website, CMS Physics ; Contact us: CMS Publications Committee

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
png pdf	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].
png pdf	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].
png pdf	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].
png pdf	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].
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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).
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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
png pdf	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].
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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 ${\Gamma _\mathrm{H}} = {\Gamma _\mathrm{H} ^{\mathrm {SM}}}$.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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].

References
1	S. L. Glashow	Partial-symmetries of weak interactions	NP 22 (1961) 579
2	F. Englert and R. Brout	Broken symmetry and the mass of gauge vector mesons	PRL 13 (1964) 321
3	P. W. Higgs	Broken symmetries, massless particles and gauge fields	PL12 (1964) 132
4	P. W. Higgs	Broken symmetries and the masses of gauge bosons	PRL 13 (1964) 508
5	G. S. Guralnik, C. R. Hagen, and T. W. B. Kibble	Global conservation laws and massless particles	PRL 13 (1964) 585
6	S. Weinberg	A model of leptons	PRL 19 (1967) 1264
7	A. Salam	Weak and electromagnetic interactions	in Elementary particle physics: relativistic groups and analyticity, N. Svartholm, ed., p. 367 Almqvist \& Wiksell, Stockholm, 1968 Proceedings of the eighth Nobel symposium
8	ATLAS Collaboration	Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC	PLB 716 (2012) 1	1207.7214
9	CMS Collaboration	Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC	PLB 716 (2012) 30	CMS-HIG-12-028 1207.7235
10	CMS Collaboration	Observation of a new boson with mass near 125 GeV in ${\mathrm{p}}{\mathrm{p}}$ collisions at $\sqrt{s}=$ 7 and~8 TeV	JHEP 06 (2013) 081	CMS-HIG-12-036 1303.4571
11	CMS Collaboration	Constraints on the Higgs boson width from off-shell production and decay to $\mathrm{Z}$-boson pairs	PLB 736 (2014) 64	CMS-HIG-14-002 1405.3455
12	ATLAS Collaboration	Constraints on the off-shell Higgs boson signal strength in the high-mass ZZ and WW final states with the ATLAS detector	EPJC 75 (2015) 335	1503.01060
13	CMS Collaboration	Limits on the Higgs boson lifetime and width from its decay to four charged leptons	PRD 92 (2015) 072010	CMS-HIG-14-036 1507.06656
14	CMS Collaboration	Search for Higgs boson off-shell production in proton-proton collisions at 7 and 8 TeV and derivation of constraints on its total decay width	JHEP 09 (2016) 051	CMS-HIG-14-032 1605.02329
15	ATLAS Collaboration	Constraints on off-shell Higgs boson production and the Higgs boson total width in $\mathrm{Z}Z\to4\ell$ and $\mathrm{Z}Z\to2\ell2\mathrm{g}n$ final states with the ATLAS detector	PLB 786 (2018) 223	1808.01191
16	F. Caola and K. Melnikov	Constraining the Higgs boson width with ZZ production at the LHC	PRD 88 (2013) 054024	1307.4935
17	N. Kauer and G. Passarino	Inadequacy of zero-width approximation for a light Higgs boson signal	JHEP 08 (2012) 116	1206.4803
18	J. M. Campbell, R. K. Ellis, and C. Williams	Bounding the Higgs width at the LHC using full analytic results for $\mathrm{g}\mathrm{g}\to \mathrm{e}^{-}\mathrm{e}^{+} \mu^{-} \mu^{+}$	JHEP 04 (2014) 060	1311.3589
19	CMS Collaboration	Precise determination of the mass of the Higgs boson and tests of compatibility of its couplings with the standard model predictions using proton collisions at 7 and 8 TeV	EPJC 75 (2015) 212	CMS-HIG-14-009 1412.8662
20	ATLAS Collaboration	Measurement of the Higgs boson mass from the $\mathrm{H}\rightarrow \gamma\gamma$ and $\mathrm{H} \rightarrow \mathrm{Z}\mathrm{Z}^{*} \rightarrow 4\ell$ channels with the ATLAS detector using 25$fb$^{-1} of ${\mathrm{p}}{\mathrm{p}}$ collision data	PRD 90 (2014) 052004	1406.3827
21	CMS Collaboration	Measurements of properties of the Higgs boson decaying into the four-lepton final state in ${\mathrm{p}}{\mathrm{p}}$ collisions at $\sqrt{s} =$ 13 TeV	JHEP 11 (2017) 047	CMS-HIG-16-041 1706.09936
22	D. de Florian et al.	Handbook of LHC Higgs cross sections: 4. deciphering the nature of the Higgs sector	CERN-2017-002-M	1610.07922
23	CMS Collaboration	On the mass and spin-parity of the Higgs boson candidate via its decays to $\mathrm{Z}$ boson pairs	PRL 110 (2013) 081803	CMS-HIG-12-041 1212.6639
24	CMS Collaboration	Measurement of the properties of a Higgs boson in the four-lepton final state	PRD 89 (2014) 092007	CMS-HIG-13-002 1312.5353
25	CMS Collaboration	Constraints on the spin-parity and anomalous HVV couplings of the Higgs boson in proton collisions at 7 and 8 TeV	PRD 92 (2015) 012004	CMS-HIG-14-018 1411.3441
26	CMS Collaboration	Combined search for anomalous pseudoscalar HVV couplings in VH ($\mathrm{H}\to\mathrm{b\bar{b}}$) production and $\mathrm{H}\to\mathrm{VV}$ decay	PLB 759 (2016) 672	CMS-HIG-14-035 1602.04305
27	CMS Collaboration	Constraints on anomalous Higgs boson couplings using production and decay information in the four-lepton final state	PLB 775 (2017) 1	CMS-HIG-17-011 1707.00541
28	ATLAS Collaboration	Evidence for the spin-0 nature of the Higgs boson using ATLAS data	PLB 726 (2013) 120	1307.1432
29	ATLAS Collaboration	Study of the spin and parity of the Higgs boson in diboson decays with the ATLAS detector	EPJC 75 (2015) 476	1506.05669
30	ATLAS Collaboration	Test of CP Invariance in vector-boson fusion production of the Higgs boson using the Optimal Observable method in the ditau decay channel with the ATLAS detector	EPJC 76 (2016) 658	1602.04516
31	ATLAS Collaboration	Measurement of inclusive and differential cross sections in the $\mathrm{H} \rightarrow \mathrm{Z}\mathrm{Z}^{*} \rightarrow 4\ell$ decay channel in ${\mathrm{p}}{\mathrm{p}}$ collisions at $\sqrt{s} =$ 13 TeV with the ATLAS detector	JHEP 10 (2017) 132	1708.02810
32	ATLAS Collaboration	Measurement of the Higgs boson coupling properties in the $H\rightarrow ZZ^{*} \rightarrow 4\ell$ decay channel at $\sqrt{s} =$ 13 TeV with the ATLAS detector	JHEP 03 (2018) 095	1712.02304
33	ATLAS Collaboration	Measurements of Higgs boson properties in the diphoton decay channel with 36 fb$^{-1}$ of ${\mathrm{p}}{\mathrm{p}}$ collision data at $\sqrt{s} =$ 13 TeV with the ATLAS detector	PRD 98 (2018) 052005	1802.04146
34	J. S. Gainer et al.	Beyond geolocating: Constraining higher dimensional operators in $\mathrm{H} \to 4\ell$ with off-shell production and more	PRD 91 (2015) 035011	1403.4951
35	C. Englert and M. Spannowsky	Limitations and opportunities of off-shell coupling measurements	PRD 90 (2014) 053003	1405.0285
36	M. Ghezzi, G. Passarino, and S. Uccirati	Bounding the Higgs width using effective field theory	in Proceedings, 12th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory (LL2014), p. 072 Weimar, Germany, April, 2014 [PoS(LL2014)072]	1405.1925
37	CMS Collaboration	Search for a new scalar resonance decaying to a pair of $\mathrm{Z}$ bosons in proton-proton collisions at $\sqrt{s} =$ 13 TeV	JHEP 06 (2018) 127	CMS-HIG-17-012 1804.01939
38	C. A. Nelson	Correlation between decay planes in Higgs-boson decays into a $\mathrm{W}$ Pair (into a $\mathrm{Z}$ Pair)	PRD 37 (1988) 1220
39	A. Soni and R. M. Xu	Probing CP violation via Higgs decays to four leptons	PRD 48 (1993) 5259	hep-ph/9301225
40	T. Plehn, D. L. Rainwater, and D. Zeppenfeld	Determining the structure of Higgs couplings at the LHC	PRL 88 (2002) 051801	hep-ph/0105325
41	S. Y. Choi, D. J. Miller, M. M. M uhlleitner, and P. M. Zerwas	Identifying the Higgs spin and parity in decays to Z pairs	PLB 553 (2003) 61	hep-ph/0210077
42	C. P. Buszello, I. Fleck, P. Marquard, and J. J. van der Bij	Prospective analysis of spin- and CP-sensitive variables in $\mathrm{H} \to \mathrm{Z}\mathrm{Z} \to \ell_1^+ \ell_1^- \ell_2^+ \ell_2^-$ at the LHC	EPJC 32 (2004) 209	hep-ph/0212396
43	V. Hankele, G. Klamke, D. Zeppenfeld, and T. Figy	Anomalous Higgs boson couplings in vector boson fusion at the CERN LHC	PRD 74 (2006) 095001	hep-ph/0609075
44	E. Accomando et al.	Workshop on CP studies and non-standard Higgs physics		hep-ph/0608079
45	R. M. Godbole, D. J. Miller, and M. M. M uhlleitner	Aspects of CP violation in the $\mathrm{H}\mathrm{Z}\mathrm{Z}$ coupling at the LHC	JHEP 12 (2007) 031	0708.0458
46	K. Hagiwara, Q. Li, and K. Mawatari	Jet angular correlation in vector-boson fusion processes at hadron colliders	JHEP 07 (2009) 101	0905.4314
47	Y. Gao et al.	Spin determination of single-produced resonances at hadron colliders	PRD 81 (2010) 075022	1001.3396
48	A. De R\' ujula et al.	Higgs look-alikes at the LHC	PRD 82 (2010) 013003	1001.5300
49	N. D. Christensen, T. Han, and Y. Li	Testing CP Violation in ZZH Interactions at the LHC	PLB 693 (2010) 28	1005.5393
50	S. Bolognesi et al.	Spin and parity of a single-produced resonance at the LHC	PRD 86 (2012) 095031	1208.4018
51	J. Ellis, D. S. Hwang, V. Sanz, and T. You	A fast track towards the `Higgs' spin and parity	JHEP 11 (2012) 134	1208.6002
52	Y. Chen, N. Tran, and R. Vega-Morales	Scrutinizing the Higgs signal and background in the $2\mathrm{e}2\mu$ golden channel	JHEP 01 (2013) 182	1211.1959
53	P. Artoisenet et al.	A framework for Higgs characterisation	JHEP 11 (2013) 043	1306.6464
54	I. Anderson et al.	Constraining anomalous HVV interactions at proton and lepton colliders	PRD 89 (2014) 035007	1309.4819
55	M. Chen et al.	Role of interference in unraveling the ZZ couplings of the newly discovered boson at the LHC	PRD 89 (2014) 034002	1310.1397
56	M. J. Dolan, P. Harris, M. Jankowiak, and M. Spannowsky	Constraining $CP$-violating Higgs sectors at the LHC using gluon fusion	PRD 90 (2014) 073008	1406.3322
57	M. Gonzalez-Alonso, A. Greljo, G. Isidori, and D. Marzocca	Pseudo-observables in Higgs decays	EPJC 75 (2015) 128	1412.6038
58	A. Greljo, G. Isidori, J. M. Lindert, and D. Marzocca	Pseudo-observables in electroweak Higgs production	EPJC 76 (2016) 158	1512.06135
59	A. V. Gritsan, R. Rontsch, M. Schulze, and M. Xiao	Constraining anomalous Higgs boson couplings to the heavy flavor fermions using matrix element techniques	PRD 94 (2016) 055023	1606.03107
60	CMS Collaboration	The CMS experiment at the CERN LHC	JINST 3 (2008) S08004	CMS-00-001
61	S. Frixione, P. Nason, and C. Oleari	Matching NLO QCD computations with parton shower simulations: the POWHEG method	JHEP 11 (2007) 070	0709.2092
62	E. Bagnaschi, G. Degrassi, P. Slavich, and A. Vicini	Higgs production via gluon fusion in the POWHEG approach in the SM and in the MSSM	JHEP 02 (2012) 088	1111.2854
63	P. Nason and C. Oleari	NLO Higgs boson production via vector-boson fusion matched with shower in POWHEG	JHEP 02 (2010) 037	0911.5299
64	G. Luisoni, P. Nason, C. Oleari, and F. Tramontano	$\mathrm{H}\mathrm{W}^{\pm}$/$\mathrm{H}\mathrm{Z}$ + 0 and 1 jet at NLO with the POWHEG BOX interfaced to GoSam and their merging within MiNLO	JHEP 10 (2013) 083	1306.2542
65	H. B. Hartanto, B. Jager, L. Reina, and D. Wackeroth	Higgs boson production in association with top quarks in the POWHEG BOX	PRD 91 (2015) 094003	1501.04498
66	K. Hamilton, P. Nason, and G. Zanderighi	MINLO: multi-scale improved NLO	JHEP 10 (2012) 155	1206.3572
67	J. M. Campbell and R. K. Ellis	MCFM for the Tevatron and the LHC	NPPS 205-206 (2010) 10	1007.3492
68	J. M. Campbell, R. K. Ellis, and C. Williams	Vector boson pair production at the LHC	JHEP 07 (2011) 018	1105.0020
69	J. M. Campbell and R. K. Ellis	Higgs constraints from vector boson fusion and scattering	JHEP 04 (2015) 030	1502.02990
70	A. Ballestrero et al.	PHANTOM: a Monte Carlo event generator for six parton final states at high energy colliders	CPC 180 (2009) 401	0801.3359
71	S. Catani and M. Grazzini	An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC	PRL 98 (2007) 222002	hep-ph/0703012
72	M. Grazzini	NNLO predictions for the Higgs boson signal in the $\mathrm{H} \to \mathrm{WW} \to\ell\mathrm{g}n\ell\mathrm{g}n$ and $\mathrm{H} \to \mathrm{ZZ} \to 4\ell$ decay channels	JHEP 02 (2008) 043	0801.3232
73	M. Grazzini and H. Sargsyan	Heavy-quark mass effects in Higgs boson production at the LHC	JHEP 09 (2013) 129	1306.4581
74	F. Caola, K. Melnikov, R. Rontsch, and L. Tancredi	QCD corrections to ZZ production in gluon fusion at the LHC	PRD 92 (2015) 094028	1509.06734
75	K. Melnikov and M. Dowling	Production of two $\mathrm{Z}$-bosons in gluon fusion in the heavy top quark approximation	PLB 744 (2015) 43	1503.01274
76	J. M. Campbell, R. K. Ellis, M. Czakon, and S. Kirchner	Two loop correction to interference in $\mathrm{g}\mathrm{g} \to \mathrm{Z}Z$	JHEP 08 (2016) 011	1605.01380
77	F. Caola et al.	QCD corrections to vector boson pair production in gluon fusion including interference effects with off-shell Higgs at the LHC	JHEP 07 (2016) 087	1605.04610
78	M. Grazzini, S. Kallweit, and D. Rathlev	$\mathrm{Z}\mathrm{Z}$ production at the LHC: fiducial cross sections and distributions in NNLO QCD	PLB 750 (2015) 407	1507.06257
79	S. Gieseke, T. Kasprzik, and J. H. Kuehn	Vector-boson pair production and electroweak corrections in HERWIG++	EPJC 74 (2014) 2988	1401.3964
80	J. Baglio, L. D. Ninh, and M. M. Weber	Massive gauge boson pair production at the LHC: a next-to-leading order story	PRD 88 (2013) 113005	1307.4331
81	NNPDF Collaboration	Unbiased global determination of parton distributions and their uncertainties at NNLO and at LO	NPB 855 (2012) 153	1107.2652
82	T. Sjostrand et al.	An introduction to PYTHIA 8.2	CPC 191 (2015) 159	1410.3012
83	GEANT4 Collaboration	GEANT4 -- a simulation toolkit	NIMA 506 (2003) 250
84	CMS Collaboration	Particle-flow reconstruction and global event description with the cms detector	JINST 12 (2017) P10003	CMS-PRF-14-001 1706.04965
85	M. Cacciari, G. P. Salam, and G. Soyez	The anti-${k_{\mathrm{T}}}$ jet clustering algorithm	JHEP 04 (2008) 063	0802.1189
86	M. Cacciari, G. P. Salam, and G. Soyez	FastJet user manual	EPJC 72 (2012) 1896	1111.6097
87	CMS Collaboration	Identification of $\mathrm{b}$-quark jets with the CMS experiment	JINST 8 (2013) P04013	CMS-BTV-12-001 1211.4462
88	CMS Collaboration	Identification of heavy-flavour jets with the CMS detector in ${\mathrm{p}}{\mathrm{p}}$ collisions at 13 TeV	JINST 13 (2018) P05011	CMS-BTV-16-002 1712.07158
89	R. J. Barlow	Extended maximum likelihood	NIMA 297 (1990) 496
90	M. J. Oreglia	A study of the reactions $\psi' \to \gamma\gamma \psi$	PhD thesis, Stanford University, 1980 SLAC Report SLAC-R-236, see A
91	W. Verkerke and D. P. Kirkby	The RooFit toolkit for data modeling	in 13$^\textth$ International Conference for Computing in High-Energy and Nuclear Physics (CHEP03) 2003 CHEP-2003-MOLT007	physics/0306116
92	R. Brun and F. Rademakers	ROOT: An object oriented data analysis framework	NIMA 389 (1997) 81
93	S. S. Wilks	The large-sample distribution of the likelihood ratio for testing composite hypotheses	Annals Math. Statist. 9 (1938) 60
94	CMS Collaboration	CMS luminosity measurements for the 2016 data taking period	CMS-PAS-LUM-17-001	CMS-PAS-LUM-17-001
95	CMS Collaboration	CMS luminosity measurement for the 2017 data taking period at $\sqrt{s} =$ 13 TeV	CMS-PAS-LUM-17-004	CMS-PAS-LUM-17-004

Compact Muon Solenoid LHC, CERN

© Copyright CERN 2018 for the benefit of the CMS Collaboration