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CMS-PAS-HIG-18-002

Measurements of Higgs boson properties from on-shell and off-shell production in the four-lepton final state

CMS Collaboration

September 2018

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 corresponds to an integrated luminosity of 80.2 fb$^{-1}$ at 13 TeV. Joint constraints are set on the width of the Higgs and parameters that express its anomalous couplings to two electroweak vector bosons using both on-shell and off-shell production of the Higgs boson. These results are combined with results 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. Matrix element techniques, which combine kinematic information from the decay particles and the associated jets, are used to identify the production mechanism and to increase sensitivity to the Higgs boson signal and its anomalous couplings. The observations are consistent with expectations for a Standard Model Higgs boson. This document has been revised with respect to the version dated September 17, 2018.

Links: CDS record (PDF) ; CADI line (restricted) ; These preliminary results are superseded in this paper, PRD 99 (2019) 112003. The superseded preliminary plots can be found here.

Figures
png pdf	Figure 1: Three topologies of the H boson production and decay: vector boson fusion ${{\mathrm {q}} {\mathrm {q}}} \to {\mathrm {V}} {\mathrm {V}} ({{\mathrm {q}} {\mathrm {q}}}) \to {\mathrm {H}} ({{\mathrm {q}} {\mathrm {q}}}) \to {\mathrm {V}} {\mathrm {V}} ({{\mathrm {q}} {\mathrm {q}}})$ (left); associated production ${{\mathrm {q}} {\mathrm {q}}} \to {\mathrm {V}} \to {\mathrm {V}} {\mathrm {H}} \to ({\mathrm {ff}}) {\mathrm {H}} \to ({\mathrm {ff}}) {\mathrm {V}} {\mathrm {V}}$ (middle); and gluon fusion ${\mathrm {g}} {\mathrm {g}} \to {\mathrm {H}} \to {\mathrm {V}} {\mathrm {V}} \to 4\ell$ (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 ${\mathrm {H}} \to {\mathrm {V}} {\mathrm {V}}$ is 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 [38,40].
png pdf	Figure 1-a: Vector boson fusion ${{\mathrm {q}} {\mathrm {q}}} \to {\mathrm {V}} {\mathrm {V}} ({{\mathrm {q}} {\mathrm {q}}}) \to {\mathrm {H}} ({{\mathrm {q}} {\mathrm {q}}}) \to {\mathrm {V}} {\mathrm {V}} ({{\mathrm {q}} {\mathrm {q}}})$, representing one topology of H boson production and decay. 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. The decay ${\mathrm {H}} \to {\mathrm {V}} {\mathrm {V}}$ is followed by the four-lepton decay. The angles are defined in either the H or V boson rest frames [38,40].
png pdf	Figure 1-b: Associated production ${{\mathrm {q}} {\mathrm {q}}} \to {\mathrm {V}} \to {\mathrm {V}} {\mathrm {H}} \to ({\mathrm {ff}}) {\mathrm {H}} \to ({\mathrm {ff}}) {\mathrm {V}} {\mathrm {V}}$, representing one topology of H boson production and decay. 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. The decay ${\mathrm {H}} \to {\mathrm {V}} {\mathrm {V}}$ is followed by the four-lepton decay. The angles are defined in either the H or V boson rest frames [38,40].
png pdf	Figure 1-c: Gluon fusion ${\mathrm {g}} {\mathrm {g}} \to {\mathrm {H}} \to {\mathrm {V}} {\mathrm {V}} \to 4\ell$, representing one topology of the H boson production and decay, 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. The production and decay ${\mathrm {H}} \to {\mathrm {V}} {\mathrm {V}}$ is followed by the four-lepton decay, as shown. The angles are defined in either the H or V boson rest frames [38,40].
png pdf	Figure 2: The distributions of events in the on-shell region. The top row shows $\mathcal {D}_{\rm bkg}$ in the VBF-tagged (left), VH-tagged (middle), and untagged (right) categories of the ${a_{3}}$ analysis. The rest of the distributions are shown with the requirement $\mathcal {D}_{\rm bkg} >$ 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 $\mathcal {D}_{CP}^{\rm dec}$ of the ${a_{3}}$, $\mathcal {D}_{0h+}^{\rm dec}$ of the ${a_{2}}$, and $\mathcal {D}_{\Lambda 1}^{\rm dec}$ of the ${\Lambda _{1}}$ analyses in the untagged categories.
png pdf	Figure 2-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.
png pdf	Figure 2-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.
png pdf	Figure 2-c: Distribution of $\mathcal {D}_{\rm bkg}$ in the untagged category of the ${a_{3}}$ analysis for events events in the on-shell region.
png pdf	Figure 2-d: Distribution of $\mathcal {D}_{0-}$ in the VBF-tagged category of the ${a_{3}}$ analysis for events events in the on-shell region. The distribution is shown with the requirement $\mathcal {D}_{\rm bkg} > 0.5$ in order to enhance signal over background contributions.
png pdf	Figure 2-e: Distribution of $\mathcal {D}_{0-}$ in the VH-tagged category of the ${a_{3}}$ analysis for events events in the on-shell region. The distribution is shown with the requirement $\mathcal {D}_{\rm bkg} > 0.5$ in order to enhance signal over background contributions.
png pdf	Figure 2-f: Distribution of $\mathcal {D}_{0-}$ in the untagged category of the ${a_{3}}$ analysis for events events in the on-shell region. The distribution is shown with the requirement $\mathcal {D}_{\rm bkg} > 0.5$ in order to enhance signal over background contributions.
png pdf	Figure 2-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. The distribution is shown with the requirement $\mathcal {D}_{\rm bkg} > 0.5$ in order to enhance signal over background contributions.
png pdf	Figure 2-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. The distribution is shown with the requirement $\mathcal {D}_{\rm bkg} > 0.5$ in order to enhance signal over background contributions.
png pdf	Figure 2-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. 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: The distributions of events in the off-shell region. 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 $\mathcal {D}^{{\rm VBF}+{\rm dec}}_{\rm bkg}$, $\mathcal {D}^{{\mathrm {V}} {\mathrm {H}} +{\rm dec}}_{\rm bkg}$, or $\mathcal {D}_{\rm bkg} >$ 0.6 is applied in order to enhance signal over background contributions. The middle row shows $\mathcal {D}^{{\rm VBF}+{\rm dec}}_{\rm bkg}$ (left), $\mathcal {D}^{{\mathrm {V}} {\mathrm {H}} +{\rm dec}}_{\rm bkg}$ (middle), $\mathcal {D}^{\rm kin}_{\rm bkg}$ (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 $\mathcal {D}_{\rm bsi}$ in the corresponding three categories in the dedicated SM-like width analysis with both of the above requirements enhancing the signal contribution.
png pdf	Figure 3-a: The distribution of ${m_{4\ell}}$ for events in the off-shell region 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 3-b: The distribution of ${m_{4\ell}}$ for events in the off-shell region 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 3-c: The distribution of ${m_{4\ell}}$ for events in the off-shell region 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 3-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 VBF-tagged category. The requirement ${m_{4\ell}} >$ 340 GeV is applied in order to enhance signal over background contributions.
png pdf	Figure 3-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 VH-tagged category. The requirement ${m_{4\ell}} >$ 340 GeV is applied in order to enhance signal over background contributions.
png pdf	Figure 3-f: The distribution of $\mathcal {D}^{\rm kin}_{\rm bkg}$ of the ${a_{3}}$ analysis, for events in the off-shell region in the untagged category. The requirement ${m_{4\ell}} >$ 340 GeV is applied in order to enhance signal over background contributions.
png pdf	Figure 3-g: The distribution of $\mathcal {D}_{\rm bsi}$ for events in the off-shell region 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 3-h: The distribution of $\mathcal {D}_{\rm bsi}$ for events in the off-shell region 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 3-i: The distribution of $\mathcal {D}_{\rm bsi}$ for events in the off-shell region 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 4: Observed (solid) and expected (dashed) likelihood scans of ${{f_{a 3}} {\cos ({\phi _{a 3}} )}}$ (a), ${{f_{a 2}} {\cos ({\phi _{a 2}} )}}$ (b), ${{f_{\Lambda 1}} {\cos ({\phi _{\Lambda 1}} )}}$ (c), and ${{{f_{\Lambda 1}} ^{Z\gamma}} {\cos ({{\phi _{\Lambda 1}} ^{Z\gamma}} )}}$ (d) 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 4-a: 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 4-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 4-c: Observed (solid) and expected (dashed) likelihood scans of ${{f_{\Lambda 1}} {\cos ({\phi _{\Lambda 1}} )}}$, 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 4-d: Observed (solid) and expected (dashed) likelihood scans of ${{{f_{\Lambda 1}} ^{Z\gamma}} {\cos ({{\phi _{\Lambda 1}} ^{Z\gamma}} )}}$, 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: Constraints on ${{f_{a 3}} {\cos ({\phi _{a 3}} )}}$ (top), ${{f_{a 2}} {\cos ({\phi _{a 2}} )}}$ (middle), and ${{f_{\Lambda 1}} {\cos ({\phi _{\Lambda 1}} )}}$ (bottom) under the assumption ${\Gamma _ {\mathrm {H}}} = {\Gamma _ {\mathrm {H}} ^{\mathrm {SM}}}$ (left) and with ${\Gamma _ {\mathrm {H}}}$ unconstrained (right). Left plots: Results of analysis of the data from 2016 and 2017 only (black) and the combined Run 2 and Run 1 analysis (red) are shown. The dashed horizontal lines show the 68% and 95% CL regions. Observed (solid) and expected (dashed) likelihood scans are shown. Right plots: Observed 2D likelihood scans are shown for the combined Run 2 and Run 1 analysis. The 68% and 95% CL regions are indicated with the dashed lines.
png pdf	Figure 5-a: Constraints on ${{f_{a 3}} {\cos ({\phi _{a 3}} )}}$, under the assumption ${\Gamma _ {\mathrm {H}}} = {\Gamma _ {\mathrm {H}} ^{\mathrm {SM}}}$. Results of analysis of the data from 2016 and 2017 only (black) and the combined Run 2 and Run 1 analysis (red) are shown. The dashed horizontal lines show the 68% and 95% CL regions. Observed (solid) and expected (dashed) likelihood scans are shown.
png pdf	Figure 5-b: Constraints on ${{f_{a 3}} {\cos ({\phi _{a 3}} )}}$, with ${\Gamma _ {\mathrm {H}}}$ unconstrained. Observed 2D likelihood scans are shown for the combined Run 2 and Run 1 analysis. The 68% and 95% CL regions are indicated with the dashed lines.
png pdf	Figure 5-c: Constraints on ${{f_{a 2}} {\cos ({\phi _{a 2}} )}}$, under the assumption ${\Gamma _ {\mathrm {H}}} = {\Gamma _ {\mathrm {H}} ^{\mathrm {SM}}}$. Results of analysis of the data from 2016 and 2017 only (black) and the combined Run 2 and Run 1 analysis (red) are shown. The dashed horizontal lines show the 68% and 95% CL regions. Observed (solid) and expected (dashed) likelihood scans are shown.
png pdf	Figure 5-d: Constraints on ${{f_{a 2}} {\cos ({\phi _{a 2}} )}}$, with ${\Gamma _ {\mathrm {H}}}$ unconstrained. Observed 2D likelihood scans are shown for the combined Run 2 and Run 1 analysis. The 68% and 95% CL regions are indicated with the dashed lines.
png pdf	Figure 5-e: Constraints on ${{f_{\Lambda 1}} {\cos ({\phi _{\Lambda 1}} )}}$, under the assumption ${\Gamma _ {\mathrm {H}}} = {\Gamma _ {\mathrm {H}} ^{\mathrm {SM}}}$. Results of analysis of the data from 2016 and 2017 only (black) and the combined Run 2 and Run 1 analysis (red) are shown. The dashed horizontal lines show the 68% and 95% CL regions. Observed (solid) and expected (dashed) likelihood scans are shown.
png pdf	Figure 5-f: Constraints on ${{f_{\Lambda 1}} {\cos ({\phi _{\Lambda 1}} )}}$, with ${\Gamma _ {\mathrm {H}}}$ unconstrained. Observed 2D likelihood scans are shown for the combined Run 2 and Run 1 analysis. The 68% and 95% CL regions are indicated with the dashed lines.
png pdf	Figure 6: Observed (solid) and expected (dashed) likelihood scans of ${\Gamma _ {\mathrm {H}}}$. Left plot: Results of analysis of the data from 2016 and 2017 only (black) and the combined Run 1 and Run 2 analysis (red) are shown for the SM-like couplings. Right plot: Results of analysis of the data from the combined Run 1 and Run 2 analyses for the SM-like couplings and with three anomalous coupling parameters of interest unconstrained: ${{f_{a 3}} {\cos ({\phi _{a 3}} )}}$ (red), ${{f_{a 2}} {\cos ({\phi _{a 2}} )}}$ (blue), and ${{f_{\Lambda 1}} {\cos ({\phi _{\Lambda 1}} )}}$ (violet). The dashed horizontal lines show the 68% and 95% CL regions.
png pdf	Figure 6-a: Observed (solid) and expected (dashed) likelihood scans of ${\Gamma _ {\mathrm {H}}}$. Results of analysis of the data from 2016 and 2017 only (black) and the combined Run 1 and Run 2 analysis (red) are shown for the SM-like couplings. The dashed horizontal lines show the 68% and 95% CL regions.
png pdf	Figure 6-b: Observed (solid) and expected (dashed) likelihood scans of ${\Gamma _ {\mathrm {H}}}$. Results of analysis of the data from the combined Run 1 and Run 2 analyses for the SM-like couplings and with three anomalous coupling parameters of interest unconstrained: ${{f_{a 3}} {\cos ({\phi _{a 3}} )}}$ (red), ${{f_{a 2}} {\cos ({\phi _{a 2}} )}}$ (blue), and ${{f_{\Lambda 1}} {\cos ({\phi _{\Lambda 1}} )}}$ (violet). The dashed horizontal lines show the 68% and 95% CL regions.

Tables
png pdf	Table 1: List of anomalous HVV couplings considered in the measurements assuming a spin-zero H boson. The definition of the effective fractions is discussed in the text and the translation constant is given in each case. The effective cross sections correspond to the processes ${\mathrm {H}} \to 2 {\mathrm {e}}2\mu$ and the Higgs boson mass $m_{{\mathrm {H}}} =$ 125 GeV using the JHUGen [38,39,40] calculation.
png pdf	Table 2: The numbers of events expected for the SM (or ${f_{a 3}} =$ 1 in parentheses) for different signal and background modes and the total observed numbers of events across the three ${a_{3}}$ analysis categories in the on-shell region.
png pdf	Table 3: The numbers of events expected for the SM (or ${f_{a 3}} =0$ in the ${a_{3}}$ analysis categorization in parentheses) for different signal and background modes and the total observed numbers of events across the three SM or ${a_{3}}$ analysis categories in the off-shell region. For the gluon fusion (gg) and electroweak processes (VV), the combined yield from signal (s), background (b), and interference (i) is shown.
png pdf	Table 4: Summary of the three production categories in the on-shell ${m_{4\ell}}$ region. Three or two observables (abbreviated as obs.) are listed for each analysis and for each category. All discriminants are calculated with JHUGen signal matrix elements and mcfm background matrix elements. The discriminants $\mathcal {D}_{\rm bkg}$ in the tagged categories also include probabilities using associated jets and decay in addition to the ${m_{4\ell}}$ probability.
png pdf	Table 5: Summary of the three production categories in the off-shell ${m_{4\ell}}$ region, listed in a similar manner to Table 4. All discriminants are calculated with JHUGen or MCFM/JHUGen signal, and MCFM background matrix elements. The VH interference discriminant in the SM analysis hadronic VH-tagged category is defined as the simple average of the ones corresponding to ZH and WH processes separately.
png pdf	Table 6: Summary of allowed 68% CL (central values with uncertainties) and 95% CL (in square brackets) intervals on anomalous coupling parameters ${{f_{a i}} {\cos ({\phi _{a i}} )}}$ obtained from the on-shell data analysis of the Run 1 and Run 2 combined dataset.
png pdf	Table 7: Summary of allowed 68% CL (central values with uncertainties) and 95% CL (in square brackets) intervals on the anomalous coupling parameters ${{f_{a i}} {\cos ({\phi _{a i}} )}}$ obtained from the data analysis of the Run 2 (on-shell and off-shell) and Run 1 (on-shell only) combined dataset.
png pdf	Table 8: Summary of the total width ${\Gamma _ {\mathrm {H}}}$ measurement, showing 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.

Summary

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 corresponds to an integrated luminosity of 80.2 fb$^{-1}$ at 13 TeV. Joint constraints are set on the width and parameters that express its anomalous couplings to two electroweak vector bosons using both on-shell and off-shell production of the Higgs boson. These results are combined with results 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. Matrix element techniques are utilized to combine kinematic information from the decay particles and the associated jets to identify the production mechanism and increase sensitivity to the anomalous couplings. The observations are found to be consistent with expectations for a Standard Model Higgs boson.

Additional Figures
png pdf	Additional Figure 1: 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. $f_{a3}^\text {VBF}$ 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 1-a: Distribution of $\mathcal {D}_{CP}$ in the on-shell $f_{a3}$ analysis for the VBF-tagged tagging category. The decay or production information used in the discriminant depends on the tagging category. $f_{a3}^\text {VBF}$ 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 1-b: Distribution of $\mathcal {D}_{CP}$ in the on-shell $f_{a3}$ analysis for the VH-tagged tagging category. The decay or production information used in the discriminant depends on the tagging 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 2: Distributions of kinematic discriminants in the on-shell $f_{a2}$ analysis: $\mathcal {D}_{\rm bkg}$ (a), (d), (g), $\mathcal {D}_{0h+}$ (b), (e), and $\mathcal {D}_\text {int}$ (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. $f_{a2}^\text {VBF}$ 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 2-a: Distributions of the $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the on-shell $f_{a2}$ analysis, for the VBF-tagged category. The decay or production information used in the discriminant 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 2-b: Distributions of the $\mathcal {D}_{0h+}$ kinematic discriminant in the on-shell $f_{a2}$ analysis, for the VBF-tagged category. The decay or production information used in the discriminant depends on the tagging category. $f_{a2}^\text {VBF}$ is defined by analogy with $f_{a2}$, but using the cross sections 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 2-c: Distributions of the $\mathcal {D}_\text {int}$ kinematic discriminant in the on-shell $f_{a2}$ analysis, for the VBF-tagged category. The decay or production information used in the discriminant depends on the tagging category. $f_{a2}^\text {VBF}$ is defined by analogy with $f_{a2}$, but using the cross sections 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 2-d: Distributions of the $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the on-shell $f_{a2}$ analysis, for the VH-tagged category. The decay or production information used in the discriminant 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 2-e: Distributions of the $\mathcal {D}_{0h+}$ kinematic discriminant in the on-shell $f_{a2}$ analysis, for the VH-tagged category. The decay or production information used in the discriminant depends on the tagging category. $f_{a2}^{\mathrm {V} {\mathrm {H}}}$ is defined by analogy with $f_{a2}$, but using the cross sections 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 2-f: Distributions of the $\mathcal {D}_\text {int}$ kinematic discriminant in the on-shell $f_{a2}$ analysis, for the VH-tagged category. The decay or production information used in the discriminant depends on the tagging category. $f_{a2}^{\mathrm {V} {\mathrm {H}}}$ is defined by analogy with $f_{a2}$, but using the cross sections 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 2-g: Distributions of the $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the on-shell $f_{a2}$ analysis, for the untagged category. The decay or production information used in the discriminant 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 2-h: Distributions of the $\mathcal {D}_\text {int}$ kinematic discriminant in the on-shell $f_{a2}$ analysis, for the untagged category. The decay or production information used in the discriminant 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 3: Distributions of kinematic discriminants in the on-shell $f_{\Lambda 1}$ analysis: $\mathcal {D}_{\rm bkg}$ (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. $f_{\Lambda 1}^\text {VBF}$ 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 3-a: Distribution of the $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the on-shell $f_{\Lambda 1}$ analysis for the VBF-tagged category. 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 3-b: Distribution of the $\mathcal {D}_{\Lambda 1}$ kinematic discriminant in the on-shell $f_{\Lambda 1}$ analysis for the VBF-tagged category. The decay or production information used in the discriminants depends on the tagging category. $f_{\Lambda 1}^\text {VBF}$ is defined by analogy with $f_{\Lambda 1}$, but using the cross sections 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 3-c: Distribution of the $\mathcal {D}_{0h+}$ kinematic discriminant in the on-shell $f_{\Lambda 1}$ analysis for the VBF-tagged category. The decay or production information used in the discriminants depends on the tagging category. $f_{\Lambda 1}^\text {VBF}$ is defined by analogy with $f_{\Lambda 1}$, but using the cross sections 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 3-d: Distribution of the $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the on-shell $f_{\Lambda 1}$ analysis for the VH-tagged category. 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 3-e: Distribution of the $\mathcal {D}_{\Lambda 1}$ kinematic discriminant in the on-shell $f_{\Lambda 1}$ analysis for the VH-tagged category. The decay or production information used in the discriminants depends on the tagging category. $f_{\Lambda 1}^{\mathrm {V} {\mathrm {H}}}$ is defined by analogy with $f_{\Lambda 1}$, but using the cross sections 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 3-f: Distribution of the $\mathcal {D}_{0h+}$ kinematic discriminant in the on-shell $f_{\Lambda 1}$ analysis for the VH-tagged category. The decay or production information used in the discriminants depends on the tagging category. $f_{\Lambda 1}^{\mathrm {V} {\mathrm {H}}}$ is defined by analogy with $f_{\Lambda 1}$, but using the cross sections 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 3-g: Distribution of the $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the on-shell $f_{\Lambda 1}$ analysis for the untagged category. 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 3-h: Distribution of the $\mathcal {D}_{0h+}$ kinematic discriminant in the on-shell $f_{\Lambda 1}$ analysis for the untagged category. 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 4: Distributions of kinematic discriminants in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis: $\mathcal {D}_{\rm bkg}$ (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 4-a: Distribution of the $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis for the VBF-tagged category. The decay or production information used in the discriminant 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 4-b: Distribution of the $\mathcal {D}_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ kinematic discriminant in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis for the VBF-tagged category. The decay or production information used in the discriminant 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 4-c: Distribution of the $\mathcal {D}_{0h+}$ kinematic discriminant in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis for the VBF-tagged category. The decay or production information used in the discriminant 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 4-d: Distribution of the $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis for the VH-tagged category. The decay or production information used in the discriminant 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 4-e: Distribution of the $\mathcal {D}_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ kinematic discriminant in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis for the VH-tagged category. The decay or production information used in the discriminant 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 4-f: Distribution of the $\mathcal {D}_{0h+}$ kinematic discriminant in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis for the VH-tagged category. The decay or production information used in the discriminant 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 4-g: Distribution of the $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis for the untagged category. The decay or production information used in the discriminant 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 4-h: Distribution of the $\mathcal {D}_{0h+}$ kinematic discriminant in the on-shell $f_{\Lambda 1}^{{\mathrm {Z}} \gamma}$ analysis for the untagged category. The decay or production information used in the discriminant 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 5: Distributions of $\mathcal {D}_{\rm bkg}$ 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 5-a: Distribution of $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the off-shell SM-like width analysis for the VBF-tagged category. The decay or production information used in the discriminant 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 5-b: Distribution of $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the off-shell SM-like width analysis for the VH-tagged category. The decay or production information used in the discriminant 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 5-c: Distribution of $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the off-shell SM-like width analysis for the untagged category. The decay or production information used in the discriminant 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 6: 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 6-a: Distribution of the $m_{4\ell}$ kinematic discriminant in the off-shell $f_{a3}$ analysis for the VBF-tagged category. The decay or production information used in the discriminant 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 6-b: Distribution of the $\mathcal {D}_{0-}$ kinematic discriminant in the off-shell $f_{a3}$ analysis for the VBF-tagged category. The decay or production information used in the discriminant 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 6-c: Distribution of the $m_{4\ell}$ kinematic discriminant in the off-shell $f_{a3}$ analysis for the VH-tagged category. The decay or production information used in the discriminant 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 6-d: Distribution of the $\mathcal {D}_{0-}$ kinematic discriminant in the off-shell $f_{a3}$ analysis for the VH-tagged category. The decay or production information used in the discriminant 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 6-e: Distribution of the $m_{4\ell}$ kinematic discriminant in the off-shell $f_{a3}$ analysis for the untagged category. The decay or production information used in the discriminant 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 6-f: Distribution of the $\mathcal {D}_{0-}$ kinematic discriminant in the off-shell $f_{a3}$ analysis for the untagged category. The decay or production information used in the discriminant 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 7: Distributions of kinematic discriminants in the off-shell $f_{a2}$ analysis: $m_{4\ell}$ (a), (d), (g), $\mathcal {D}_{\rm bkg}$ (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)-(h). 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 7-a: Distribution of the $m_{4\ell}$ kinematic discriminant in the off-shell $f_{a2}$ analysis in the VBF-tagged category. The decay or production information used in the discriminant 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 7-b: Distribution of the $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the off-shell $f_{a2}$ analysis in the VBF-tagged category. The decay or production information used in the discriminant 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 7-c: Distribution of the $\mathcal {D}_{0h+}$ kinematic discriminant in the off-shell $f_{a2}$ analysis in the VBF-tagged category. The decay or production information used in the discriminant 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 7-d: Distribution of the $m_{4\ell}$ kinematic discriminant in the off-shell $f_{a2}$ analysis in the VH-tagged category. The decay or production information used in the discriminant 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 7-e: Distribution of the $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the off-shell $f_{a2}$ analysis in the VH-tagged category. The decay or production information used in the discriminant 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 7-f: Distribution of the $\mathcal {D}_{0h+}$ kinematic discriminant in the off-shell $f_{a2}$ analysis in the VH-tagged category. The decay or production information used in the discriminant 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 7-g: Distribution of the $m_{4\ell}$ kinematic discriminant in the off-shell $f_{a2}$ analysis in the untagged category. The decay or production information used in the discriminant 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 7-h: Distribution of the $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the off-shell $f_{a2}$ analysis in the untagged category. The decay or production information used in the discriminant 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 7-i: Distribution of the $\mathcal {D}_{0h+}$ kinematic discriminant in the off-shell $f_{a2}$ analysis in the untagged category. The decay or production information used in the discriminant 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 8: Distributions of kinematic discriminants in the off-shell $f_{\Lambda 1}$ analysis: $m_{4\ell}$ (a), (d), (g), $\mathcal {D}_{\rm bkg}$ (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)-(h). 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 8-a: Distribution of the $m_{4\ell}$ kinematic discriminant in the off-shell $f_{\Lambda 1}$ analysis for the VBF-tagged category. The decay or production information used in the discriminant 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 8-b: Distribution of the $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the off-shell $f_{\Lambda 1}$ analysis for the VBF-tagged category. The decay or production information used in the discriminant 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 8-c: Distribution of the $\mathcal {D}_{\Lambda 1}$ kinematic discriminant in the off-shell $f_{\Lambda 1}$ analysis for the VBF-tagged category. The decay or production information used in the discriminant 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 8-d: Distribution of the $m_{4\ell}$ kinematic discriminant in the off-shell $f_{\Lambda 1}$ analysis for the VH-tagged category. The decay or production information used in the discriminant 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 8-e: Distribution of the $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the off-shell $f_{\Lambda 1}$ analysis for the VH-tagged category. The decay or production information used in the discriminant 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 8-f: Distribution of the $\mathcal {D}_{\Lambda 1}$ kinematic discriminant in the off-shell $f_{\Lambda 1}$ analysis for the VH-tagged category. The decay or production information used in the discriminant 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 8-g: Distribution of the $m_{4\ell}$ kinematic discriminant in the off-shell $f_{\Lambda 1}$ analysis for the untagged category. The decay or production information used in the discriminant 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 8-h: Distribution of the $\mathcal {D}_{\rm bkg}$ kinematic discriminant in the off-shell $f_{\Lambda 1}$ analysis for the untagged category. The decay or production information used in the discriminant 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 8-i: Distribution of the $\mathcal {D}_{\Lambda 1}$ kinematic discriminant in the off-shell $f_{\Lambda 1}$ analysis for the untagged category. The decay or production information used in the discriminant 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 9: Summary of allowed confidence level intervals on anomalous coupling parameters in HVV 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, and the observed regions are shown as points with errors and the excluded hatched regions. 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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