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CMS-EXO-21-018 ; CERN-EP-2023-304
Search for a scalar or pseudoscalar dilepton resonance produced in association with a massive vector boson or top quark-antiquark pair in multilepton events at $ \sqrt{s} = $ 13 TeV
Phys. Rev. D 110 (2024) 012013
Abstract: A search for beyond the standard model spin-0 bosons, $ \phi $, that decay into pairs of electrons, muons, or tau leptons is presented. The search targets the associated production of such bosons with a W or Z gauge boson, or a top quark-antiquark pair, and uses events with three or four charged leptons, including hadronically decaying tau leptons. The proton-proton collision data set used in the analysis was collected at the LHC from 2016 to 2018 at a center-of-mass energy of 13 TeV, and corresponds to an integrated luminosity of 138 fb$ ^{-1} $. The observations are consistent with the predictions from standard model processes. Upper limits are placed on the product of cross sections and branching fractions of such new particles over the mass range of 15 to 350 GeV with scalar, pseudoscalar, or Higgs-boson-like couplings, as well as on the product of coupling parameters and branching fractions. Several model-dependent exclusion limits are also presented. For a Higgs-boson-like $ \phi $ model, limits are set on the mixing angle of the Higgs boson with the $ \phi $ boson. For the associated production of a $ \phi $ boson with a top quark-antiquark pair, limits are set on the coupling to top quarks. Finally, limits are set for the first time on a fermiophilic dilaton-like model with scalar couplings and a fermiophilic axion-like model with pseudoscalar couplings.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

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Figure 1:
Example production and decay processes of $ {\mathrm{W}}{\phi} $, $ {\mathrm{Z}}{\phi} $, and $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signals with multilepton final states, where $ \ell $ stands for electron, muon or tau lepton. Only leptonic decays of W and Z bosons are considered for $ {\mathrm{W}}{\phi} $ and $ {\mathrm{Z}}{\phi} $ signals, while for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal, W bosons from top quark decay can also decay hadronically.

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Figure 2:
Binned representation of the control and signal regions for the combined multilepton event selection and the combined 2016-2018 data set. The CR bins follow their definitions as given in Table 1, and the SR bins correspond to the channels as defined by the lepton flavor composition. The normalizations of the background samples in the CRs are described in Sections 5.1 and 5.2. All three (four) lepton events are required to have $ Q_{\ell}=1 (0) $, and those satisfying any of the CR requirements are removed from the SR bins. All subsequent selections given in Tables 2 and 3 are based on events given in the SR bins. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the statistical uncertainties in the background prediction.

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Figure 3:
The $ M_{\mathrm{OSSF}} $ spectrum for the combined 2L1T, 2L2T, 3L, 3L1T, and 4L event selection (excluding the $ {\mathrm{Z}}{\gamma} $ CR) and the combined 2016-2018 data set. All three (four) lepton events are required to have $ Q_{\ell}=1\,(0) $. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the statistical uncertainties in the background prediction.

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Figure 4:
Dilepton mass spectra for the $ {\mathrm{W}}{\phi}(\mathrm{e}\mathrm{e}) $ SR1 (upper), SR2 (middle), and for the $ {\mathrm{Z}}{\phi}(\mathrm{e}\mathrm{e}) $ SR (lower) event selections for the combined 2016-2018 data set. The low (high) mass spectra are shown on the left (right). The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 4-a:
Dilepton low mass spectrum for the $ {\mathrm{W}}{\phi}(\mathrm{e}\mathrm{e}) $ SR1 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 4-b:
Dilepton high mass spectrum for the $ {\mathrm{W}}{\phi}(\mathrm{e}\mathrm{e}) $ SR1 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 4-c:
Dilepton low mass spectrum for the $ {\mathrm{W}}{\phi}(\mathrm{e}\mathrm{e}) $ SR2 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 4-d:
Dilepton high mass spectrum for the $ {\mathrm{W}}{\phi}(\mathrm{e}\mathrm{e}) $ SR2 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 4-e:
Dilepton low mass spectrum for the $ {\mathrm{Z}}{\phi}(\mathrm{e}\mathrm{e}) $ SR event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 4-f:
Dilepton high mass spectrum for the $ {\mathrm{Z}}{\phi}(\mathrm{e}\mathrm{e}) $ SR event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 5:
Dilepton mass spectra for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\mathrm{e}\mathrm{e}) $ SR1 (upper), SR2 (middle), and SR3 (lower) event selections for the combined 2016-2018 data set. The low (high) mass spectra are shown on the left (right). The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 5-a:
Dilepton low mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\mathrm{e}\mathrm{e}) $ SR1 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 5-b:
Dilepton high mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\mathrm{e}\mathrm{e}) $ SR1 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 5-c:
Dilepton low mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\mathrm{e}\mathrm{e}) $ SR2 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 5-d:
Dilepton high mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\mathrm{e}\mathrm{e}) $ SR2 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 5-e:
Dilepton low mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\mathrm{e}\mathrm{e}) $ SR3 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 5-f:
Dilepton high mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\mathrm{e}\mathrm{e}) $ SR3 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 6:
Dilepton mass spectra for the $ {\mathrm{W}}{\phi}(\mu\mu) $ SR1 (upper), SR2 (middle), and $ {\mathrm{Z}}{\phi}(\mu\mu) $ SR (lower) event selections for the combined 2016-2018 data set. The low (high) mass spectra are shown on the left (right). The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 6-a:
Dilepton low mass spectrum for the $ {\mathrm{W}}{\phi}(\mu\mu) $ SR1 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 6-b:
Dilepton high mass spectrum for the $ {\mathrm{W}}{\phi}(\mu\mu) $ SR1 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 6-c:
Dilepton low mass spectrum for the $ {\mathrm{W}}{\phi}(\mu\mu) $ SR2 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 6-d:
Dilepton high mass spectrum for the $ {\mathrm{W}}{\phi}(\mu\mu) $ SR2 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 6-e:
Dilepton low mass spectrum for the $ {\mathrm{Z}}{\phi}(\mu\mu) $ SR event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 6-f:
Dilepton high mass spectrum for the $ {\mathrm{Z}}{\phi}(\mu\mu) $ SR event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 7:
Dilepton mass spectra for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\mu\mu) $ SR1 (upper), SR2 (middle), and SR3 (lower) event selections for the combined 2016-2018 data set. The low (high) mass spectra are shown on the left (right). The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 7-a:
Dilepton low mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\mu\mu) $ SR1 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 7-b:
Dilepton high mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\mu\mu) $ SR1 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 7-c:
Dilepton low mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\mu\mu) $ SR2 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 7-d:
Dilepton high mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\mu\mu) $ SR2 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 7-e:
Dilepton low mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\mu\mu) $ SR3 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 7-f:
Dilepton high mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\mu\mu) $ SR3 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 8:
Dilepton mass spectra for the $ {\mathrm{W}}{\phi}(\tau\tau) $ SR (left) and $ {\mathrm{Z}}{\phi}(\tau\tau) $ SR (right) event selections for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bins contain the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 8-a:
Dilepton mass spectra for the $ {\mathrm{W}}{\phi}(\tau\tau) $ SR1 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bins contain the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 8-b:
Dilepton mass spectra for the $ {\mathrm{Z}}{\phi}(\tau\tau) $ SR1 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bins contain the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 8-c:
Dilepton mass spectra for the $ {\mathrm{W}}{\phi}(\tau\tau) $ SR2 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bins contain the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 8-d:
Dilepton mass spectra for the $ {\mathrm{Z}}{\phi}(\tau\tau) $ SR2 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bins contain the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 8-e:
Dilepton mass spectra for the $ {\mathrm{W}}{\phi}(\tau\tau) $ SR3 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bins contain the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 8-f:
Dilepton mass spectra for the $ {\mathrm{Z}}{\phi}(\tau\tau) $ SR3 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bins contain the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 9:
Dilepton mass spectra for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\tau\tau) $ SR1-6 event selections for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bins contain the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 9-a:
Dilepton mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\tau\tau) $ SR1 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bins contain the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 9-b:
Dilepton mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\tau\tau) $ SR2 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bins contain the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 9-c:
Dilepton mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\tau\tau) $ SR3 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bins contain the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 9-d:
Dilepton mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\tau\tau) $ SR4 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bins contain the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 9-e:
Dilepton mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\tau\tau) $ SR5 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bins contain the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 9-f:
Dilepton mass spectrum for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\tau\tau) $ SR6 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bins contain the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 10:
Dilepton mass spectra for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi}(\tau\tau) $ SR7 event selection for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bins contain the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $ \phi $ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

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Figure 11:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal in the $ \mathrm{e}\mathrm{e} $ (upper), $ \mu\mu $ (middle), and $ \tau\tau $ (lower) decay scenarios. The results for the scalar coupling are shown on the left and pseudoscalar on the right. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal.

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Figure 11-a:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal in the $ \mathrm{e}\mathrm{e} $ decay scenario, for the scalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal.

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Figure 11-b:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal in the $ \mathrm{e}\mathrm{e} $ decay scenario, for the pseudoscalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal.

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Figure 11-c:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal in the $ \mu\mu $ decay scenario, for the scalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal.

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Figure 11-d:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal in the $ \mu\mu $ decay scenario, for the pseudoscalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal.

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Figure 11-e:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal in the $ \tau\tau $ decay scenario, for the scalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal.

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Figure 11-f:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal in the $ \tau\tau $ decay scenario, for the pseudoscalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal.

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Figure 12:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal in the $ \mathrm{e}\mathrm{e} $ (upper), $ \mu\mu $ (middle) and $ \tau\tau $ (lower) decay scenarios. The results for the scalar coupling are shown on the left and pseudoscalar on the right. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal.

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Figure 12-a:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal in the $ \mathrm{e}\mathrm{e} $ decay scenario, for the scalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal.

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Figure 12-b:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal in the $ \mathrm{e}\mathrm{e} $ decay scenario, for the pseudoscalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal.

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Figure 12-c:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal in the $ \mu\mu $ decay scenario, for the scalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal.

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Figure 12-d:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal in the $ \mu\mu $ decay scenario, for the pseudoscalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal.

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Figure 12-e:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal in the $ \tau\tau $ decay scenario, for the scalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal.

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Figure 12-f:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal in the $ \tau\tau $ decay scenario, for the pseudoscalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal.

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Figure 13:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal on the left and the $ {\mathrm{Z}}{\phi} $ signal on the right with H-like couplings in the $ \mathrm{e}\mathrm{e} $ (upper), $ \mu\mu $ (middle) and $ \tau\tau $ (lower) decay scenarios. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ and $ {\mathrm{Z}}{\phi} $ signals.

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Figure 13-a:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal with H-like couplings in the $ \mathrm{e}\mathrm{e} $ decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal.

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Figure 13-b:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal with H-like couplings in the $ \mathrm{e}\mathrm{e} $ decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal.

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Figure 13-c:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal with H-like couplings in the $ \mu\mu $ decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal.

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Figure 13-d:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal with H-like couplings in the $ \mu\mu $ decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal.

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Figure 13-e:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal with H-like couplings in the $ \tau\tau $ decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{W}}{\phi} $ signal.

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Figure 13-f:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal with H-like couplings in the $ \tau\tau $ decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {\mathrm{Z}}{\phi} $ signal.

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Figure 14:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal in the $ \mathrm{e}\mathrm{e} $ (upper), $ \mu\mu $ (middle) and $ \tau\tau $ (lower) decay scenarios. The results for the scalar coupling are shown on the left and pseudoscalar on the right. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal.

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Figure 14-a:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal in the $ \mathrm{e}\mathrm{e} $ decay scenario, for the scalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal.

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Figure 14-b:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal in the $ \mathrm{e}\mathrm{e} $ decay scenario, for the pseudoscalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal.

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Figure 14-c:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal in the $ \mu\mu $ decay scenario, for the scalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal.

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Figure 14-d:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal in the $ \mu\mu $ decay scenario, for the pseudoscalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal.

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Figure 14-e:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal in the $ \tau\tau $ decay scenario, for the scalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal.

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Figure 14-f:
The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal in the $ \tau\tau $ decay scenario, for the pseudoscalar coupling. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal.

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Figure 15:
The 95% confidence level upper limits on $ {\mathrm{g}}_{{\mathrm{t S}}}^2 $ and $ {\mathrm{g}}_{{\mathrm{t PS}}}^2 $ for the dilaton- and axion-like $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal model (left and right). Masses of the $ \phi $ boson above 300 GeV are not probed for the dilaton- and axion-like signal models as the $ \phi $ branching fraction into top quark-antiquark pairs becomes nonnegligible.

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Figure 15-a:
The 95% confidence level upper limits on $ {\mathrm{g}}_{{\mathrm{t S}}}^2 $ and $ {\mathrm{g}}_{{\mathrm{t PS}}}^2 $ for the dilaton-like $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal model. Masses of the $ \phi $ boson above 300 GeV are not probed for the dilaton-like signal model as the $ \phi $ branching fraction into top quark-antiquark pairs becomes nonnegligible.

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Figure 15-b:
The 95% confidence level upper limits on $ {\mathrm{g}}_{{\mathrm{t S}}}^2 $ and $ {\mathrm{g}}_{{\mathrm{t PS}}}^2 $ for the axion-like $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal model. Masses of the $ \phi $ boson above 300 GeV are not probed for the axion-like signal model as the $ \phi $ branching fraction into top quark-antiquark pairs becomes nonnegligible.

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Figure 16:
The 95% confidence level upper limits on the product of $ \sin^2\theta $ and branching fraction for the H-like production of $ {\mathrm{X}}{\phi}\to\mathrm{e}\mathrm{e} $ and $ {\mathrm{X}}{\phi}\to\mu\mu $ (left and right). The vertical gray band indicates the mass region not considered in the analysis.

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Figure 16-a:
The 95% confidence level upper limits on the product of $ \sin^2\theta $ and branching fraction for the H-like production of $ {\mathrm{X}}{\phi}\to\mathrm{e}\mathrm{e} $. The vertical gray band indicates the mass region not considered in the analysis.

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Figure 16-b:
The 95% confidence level upper limits on the product of $ \sin^2\theta $ and branching fraction for the H-like production of $ {\mathrm{X}}{\phi}\to\mu\mu $. The vertical gray band indicates the mass region not considered in the analysis.

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Figure 17:
The 95% confidence level upper limits on $ \sin^2\theta $ for the H-like production and decay of $ {\mathrm{X}}{\phi} $ signal model.
Tables

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Table 1:
A summary of control regions for the SM processes $ {\mathrm{Z}}{\mathrm{Z}} $, $ {\mathrm{Z}}{\gamma} $, $ {\mathrm{W}}{\mathrm{Z}} $, and $ {{\mathrm{t}\overline{\mathrm{t}}} }{\mathrm{Z}} $, and for the misidentified lepton backgrounds (MisID $ \mathrm{e}/\mu $ and MisID $ \tau $). The $ p_{\mathrm{T}}^\text{miss} $, $ M_{\mathrm{T}} $, 3L minimum lepton transverse momentum $ p_{\mathrm{T3}} $, $ M_{\ell} $, and $ S_{\mathrm{T}} $ quantities are given in units of GeV. The 3L OnZ CR is further split into 3L MisID $ \mathrm{e}/\mu $ CR, 3L $ {\mathrm{W}}{\mathrm{Z}} $ CR, and 3L $ {{\mathrm{t}\overline{\mathrm{t}}} }{\mathrm{Z}} $ CR. The terminology is described in Section 5.

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Table 2:
Low- and high-mass signal region selections for $ {\mathrm{X}}{\phi}\to\mathrm{e}\mathrm{e}/\mu\mu $ signals. Events satisfying the control region requirements are vetoed throughout, and only those with a reconstructed $ \phi $ candidate are retained using the specified dilepton mass variable. The $ S_{\mathrm{T}} $, $ p_{\mathrm{T3}} $, and $ M_{\ell} $ requirements are specified in units of GeV. The two entries in the labels, channels, and dilepton mass variables are provided for the $ X\phi\to\mathrm{e}\mathrm{e} $ and $ X\phi\to\mu\mu $ signal scenarios, as appropriate.

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Table 3:
Signal selections for $ {\mathrm{X}}{\phi}\to\tau\tau $ signals. Events satisfying the control region requirements are vetoed throughout, and only those with a reconstructed $ \phi $ candidate are retained using the specified dilepton mass variable. The $ S_{\mathrm{T}} $, $ p_{\mathrm{T3}} $, and $ M_{\ell} $ requirements are specified in units of GeV.

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Table 4:
Sources, magnitudes, impacts, and correlation properties of systematic uncertainties in the signal regions. Magnitude refers to the relative change in the underlying uncertainty source, whereas impact quantifies the resultant relative change in the signal and background yields passing the event selection. Uncertainty sources marked as ``Yes'' under the Correlation column are correlated across the 3 years of data collection, and those marked with an asterisk in the Impact column are mass-dependent.

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Table 5:
A summary of model-dependent scenarios, and the corresponding subsets of SRs combined in the interpretations.
Summary
A search for beyond-the-standard-model phenomena producing resonant dilepton signatures of any flavor in multilepton events has been performed using pp collision data collected with the CMS detector at $ \sqrt{s} = $ 13 TeV, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. The results provide direct and model independent constraints on the allowed parameter space for new spin-0 particles, $ \phi $, with scalar, pseudoscalar, or H-like couplings. The $ \phi $ bosons are assumed to be produced in association with a W or Z boson or a top quark-antiquark ($ \mathrm{t} \overline{\mathrm{t}} $) pair, and decay into $ \mathrm{e}\mathrm{e} $, $ \mu\mu $, or $ \tau\tau $ pairs. Constraints are calculated at 95% confidence level on the product of the production cross section and leptonic branching fraction of such bosons with masses in the range 15-350 GeV. No statistically significant excess is observed over the standard model background in the probed mass spectra. Over this mass range, the product of the cross section and branching fraction for the $ \tau\tau $ ($ \mathrm{e}\mathrm{e} $ and $ \mu\mu $) final states is excluded above 0.004-35, 0.004-80, and 0.008-250 pb (0.5-50, 0.5-30, and 1-200 fb) as a function of $ \phi $ mass for scalar, pseudoscalar, and H-like bosons, respectively. Several model-dependent interpretations have also been considered. The $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ mode provides the first direct bounds on the coupling of the $ \phi $ boson to top quarks in the context of fermiophilic models. For a fermiophilic dilaton-like model with scalar couplings, the most stringent limit on the coupling is 0.63-0.66, obtained in the $ \phi $ mass range 40-60 GeV. For a fermiophilic axion-like model with pseudoscalar couplings, the most stringent limit on the coupling is 1.59, obtained for a $ \phi $ mass of 70 GeV. To constrain the Higgs-$ \phi $ mixing angle, $ \sin^2\theta $, in the case where the $ \phi $ is H-like, the independent $ {\mathrm{W}}{\phi} $, $ {\mathrm{Z}}{\phi} $, and $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal regions are combined. The observed (expected) upper limit on $ \sin^2\theta $ is 1.2 (1.9) for a $ \phi $ mass of 125 GeV; the most stringent observed exclusion is obtained for a $ \phi $ mass of 30 GeV, corresponding to an upper limit on $ \sin^2\theta $ of 0.59 (0.64).
Additional Figures

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Additional Figure 1:
Cross section in units of pb for the $ {\mathrm{W}}{\phi} $, $ {\mathrm{Z}}{\phi} $, and $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signals as a function of the $ \phi $ boson mass in GeV. All cross sections are inclusive of all W, Z, $ {\mathrm{t}\overline{\mathrm{t}}} $ and $ \phi $ decay modes.

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Additional Figure 2:
The 95% confidence level observed upper limits on the product of $ \sigma({\mathrm{W}}{\phi}) $ and $ \mathcal{B}(\phi \to \ell\ell) $ for the $ {\mathrm{W}}{\phi} $ signal with scalar couplings, where $ \sigma $ denotes the production cross section and $ \mathcal{B}(\phi \to \ell\ell) $ is the branching fraction of the $ \phi $ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $ \phi $ boson are shown with the green, blue, and orange solid lines, respectively. The red dash-dotted line is the theoretical prediction for $ \sigma\mathcal{B} $ of the $ {\mathrm{W}}{\phi} $ signal. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $ \phi $ boson.

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Additional Figure 3:
The 95% confidence level observed upper limits on the product of $ \sigma({\mathrm{W}}{\phi}) $ and $ \mathcal{B}(\phi \to \ell\ell) $ for the $ {\mathrm{W}}{\phi} $ signal with pseudoscalar couplings, where $ \sigma $ denotes the production cross section and $ \mathcal{B}(\phi \to \ell\ell) $ is the branching fraction of the $ \phi $ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $ \phi $ boson are shown with the green, blue, and orange solid lines, respectively. The red dash-dotted line is the theoretical prediction for $ \sigma\mathcal{B} $ of the $ {\mathrm{W}}{\phi} $ signal. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $ \phi $ boson.

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Additional Figure 4:
The 95% confidence level observed upper limits on the product of $ \sigma({\mathrm{W}}{\phi}) $ and $ \mathcal{B}(\phi \to \ell\ell) $ for the $ {\mathrm{W}}{\phi} $ signal with H-like production, where $ \sigma $ denotes the production cross section and $ \mathcal{B}(\phi \to \ell\ell) $ is the branching fraction of the $ \phi $ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $ \phi $ boson are shown with the green, blue, and orange solid lines, respectively. The red dash-dotted line is the theoretical prediction for $ \sigma\mathcal{B} $ of the $ {\mathrm{W}}{\phi} $ signal. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $ \phi $ boson.

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Additional Figure 5:
The 95% confidence level observed upper limits on the product of $ \sigma({\mathrm{Z}}{\phi}) $ and $ \mathcal{B}(\phi \to \ell\ell) $ for the $ {\mathrm{Z}}{\phi} $ signal with scalar couplings, where $ \sigma $ denotes the production cross section and $ \mathcal{B}(\phi \to \ell\ell) $ is the branching fraction of the $ \phi $ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $ \phi $ boson are shown with the green, blue, and orange solid lines, respectively. The red dash-dotted line is the theoretical prediction for $ \sigma\mathcal{B} $ of the $ {\mathrm{Z}}{\phi} $ signal. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $ \phi $ boson.

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Additional Figure 6:
The 95% confidence level observed upper limits on the product of $ \sigma({\mathrm{Z}}{\phi}) $ and $ \mathcal{B}(\phi \to \ell\ell) $ for the $ {\mathrm{Z}}{\phi} $ signal with pseudoscalar couplings, where $ \sigma $ denotes the production cross section and $ \mathcal{B}(\phi \to \ell\ell) $ is the branching fraction of the $ \phi $ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $ \phi $ boson are shown with the green, blue, and orange solid lines, respectively. The red dash-dotted line is the theoretical prediction for $ \sigma\mathcal{B} $ of the $ {\mathrm{Z}}{\phi} $ signal. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $ \phi $ boson.

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Additional Figure 7:
The 95% confidence level observed upper limits on the product of $ \sigma({\mathrm{Z}}{\phi}) $ and $ \mathcal{B}(\phi \to \ell\ell) $ for the $ {\mathrm{Z}}{\phi} $ signal with H-like production, where $ \sigma $ denotes the production cross section and $ \mathcal{B}(\phi \to \ell\ell) $ is the branching fraction of the $ \phi $ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $ \phi $ boson are shown with the green, blue, and orange solid lines, respectively. The red dash-dotted line is the theoretical prediction for $ \sigma\mathcal{B} $ of the $ {\mathrm{Z}}{\phi} $ signal. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $ \phi $ boson.

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Additional Figure 8:
The 95% confidence level observed upper limits on the product of $ \sigma({{\mathrm{t}\overline{\mathrm{t}}} }{\phi}) $ and $ \mathcal{B}(\phi \to \ell\ell) $ for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with scalar couplings, where $ \sigma $ denotes the production cross section and $ \mathcal{B}(\phi \to \ell\ell) $ is the branching fraction of the $ \phi $ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $ \phi $ boson are shown with the green, blue, and orange solid lines, respectively. The red dash-dotted line is the theoretical prediction for $ \sigma\mathcal{B} $ of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $ \phi $ boson.

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Additional Figure 9:
The 95% confidence level observed upper limits on the product of $ \sigma({{\mathrm{t}\overline{\mathrm{t}}} }{\phi}) $ and $ \mathcal{B}(\phi \to \ell\ell) $ for the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with pseudoscalar couplings, where $ \sigma $ denotes the production cross section and $ \mathcal{B}(\phi \to \ell\ell) $ is the branching fraction of the $ \phi $ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $ \phi $ boson are shown with the green, blue, and orange solid lines, respectively. The red dash-dotted line is the theoretical prediction for $ \sigma\mathcal{B} $ of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $ \phi $ boson.

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Additional Figure 10:
The 95% confidence level expected and observed upper limits on the product of $ (1/\Lambda_{\mathrm{S}})^2 $ and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ of the $ {\mathrm{W}}{\phi} $ signal with scalar couplings, where $ \Lambda_{\mathrm{S}} $ denotes the mass scale of the effective interaction and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ is the branching fraction of the $ \phi $ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 11:
The 95% confidence level expected and observed upper limits on the product of $ (1/\Lambda_{\mathrm{S}})^2 $ and $ \mathcal{B}(\phi \to \mu\mu) $ of the $ {\mathrm{W}}{\phi} $ signal with scalar couplings, where $ \Lambda_{\mathrm{S}} $ denotes the mass scale of the effective interaction and $ \mathcal{B}(\phi \to \mu\mu) $ is the branching fraction of the $ \phi $ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 12:
The 95% confidence level expected and observed upper limits on the product of $ (1/\Lambda_{\mathrm{S}})^2 $ and $ \mathcal{B}(\phi \to \tau\tau) $ of the $ {\mathrm{W}}{\phi} $ signal with scalar couplings, where $ \Lambda_{\mathrm{S}} $ denotes the mass scale of the effective interaction and $ \mathcal{B}(\phi \to \tau\tau) $ is the branching fraction of the $ \phi $ boson into a tau pair.

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Additional Figure 13:
The 95% confidence level expected and observed upper limits on the product of $ (1/\Lambda_{\mathrm{PS}})^2 $ and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ of the $ {\mathrm{W}}{\phi} $ signal with pseudoscalar couplings, where $ \Lambda_{\mathrm{PS}} $ denotes the mass scale of the effective interaction and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ is the branching fraction of the $ \phi $ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 14:
The 95% confidence level expected and observed upper limits on the product of $ (1/\Lambda_{\mathrm{PS}})^2 $ and $ \mathcal{B}(\phi \to \mu\mu) $ of the $ {\mathrm{W}}{\phi} $ signal with pseudoscalar couplings, where $ \Lambda_{\mathrm{PS}} $ denotes the mass scale of the effective interaction and $ \mathcal{B}(\phi \to \mu\mu) $ is the branching fraction of the $ \phi $ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 15:
The 95% confidence level expected and observed upper limits on the product of $ (1/\Lambda_{\mathrm{PS}})^2 $ and $ \mathcal{B}(\phi \to \tau\tau) $ of the $ {\mathrm{W}}{\phi} $ signal with pseudoscalar couplings, where $ \Lambda_{\mathrm{PS}} $ denotes the mass scale of the effective interaction and $ \mathcal{B}(\phi \to \tau\tau) $ is the branching fraction of the $ \phi $ boson into a tau pair.

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Additional Figure 16:
The 95% confidence level expected and observed upper limits on the product of $ \sin^2\theta $ and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ of the $ {\mathrm{W}}{\phi} $ signal with H-like production, where $ \theta $ denotes the mixing angle of the Higgs boson with the $ \phi $ boson and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ is the branching fraction of the $ \phi $ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 17:
The 95% confidence level expected and observed upper limits on the product of $ \sin^2\theta $ and $ \mathcal{B}(\phi \to \mu\mu) $ of the $ {\mathrm{W}}{\phi} $ signal with H-like production, where $ \theta $ denotes the mixing angle of the Higgs boson with the $ \phi $ boson, and $ \mathcal{B}(\phi \to \mu\mu) $ is the branching fraction of the $ \phi $ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 18:
The 95% confidence level expected and observed upper limits on the product of $ \sin^2\theta $ and $ \mathcal{B}(\phi \to \tau\tau) $ of the $ {\mathrm{W}}{\phi} $ signal with H-like production, where $ \theta $ denotes the mixing angle of the Higgs boson with the $ \phi $ boson and $ \mathcal{B}(\phi \to \tau\tau) $ is the branching fraction of the $ \phi $ boson into a tau pair.

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Additional Figure 19:
The 95% confidence level expected and observed upper limits on the product of $ (1/\Lambda_{\mathrm{S}})^2 $ and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ of the $ {\mathrm{Z}}{\phi} $ signal with scalar couplings, where $ \Lambda_{\mathrm{S}} $ denotes the mass scale of the effective interaction and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ is the branching fraction of the $ \phi $ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 20:
The 95% confidence level expected and observed upper limits on the product of $ (1/\Lambda_{\mathrm{S}})^2 $ and $ \mathcal{B}(\phi \to \mu\mu) $ of the $ {\mathrm{Z}}{\phi} $ signal with scalar couplings, where $ \Lambda_{\mathrm{S}} $ denotes the mass scale of the effective interaction and $ \mathcal{B}(\phi \to \mu\mu) $ is the branching fraction of the $ \phi $ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 21:
The 95% confidence level expected and observed upper limits on the product of $ (1/\Lambda_{\mathrm{S}})^2 $ and $ \mathcal{B}(\phi \to \tau\tau) $ of the $ {\mathrm{Z}}{\phi} $ signal with scalar couplings, where $ \Lambda_{\mathrm{S}} $ denotes the mass scale of the effective interaction and $ \mathcal{B}(\phi \to \tau\tau) $ is the branching fraction of the $ \phi $ boson into a tau pair.

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Additional Figure 22:
The 95% confidence level expected and observed upper limits on the product of $ (1/\Lambda_{\mathrm{PS}})^2 $ and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ of the $ {\mathrm{Z}}{\phi} $ signal with pseudoscalar couplings, where $ \Lambda_{\mathrm{S}} $ denotes the mass scale of the effective interaction and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ is the branching fraction of the $ \phi $ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 23:
The 95% confidence level expected and observed upper limits on the product of $ (1/\Lambda_{\mathrm{PS}})^2 $ and $ \mathcal{B}(\phi \to \mu\mu) $ of the $ {\mathrm{Z}}{\phi} $ signal with pseudoscalar couplings, where $ \Lambda_{\mathrm{PS}} $ denotes the mass scale of the effective interaction and $ \mathcal{B}(\phi \to \mu\mu) $ is the branching fraction of the $ \phi $ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 24:
The 95% confidence level expected and observed upper limits on the product of $ (1/\Lambda_{\mathrm{PS}})^2 $ and $ \mathcal{B}(\phi \to \tau\tau) $ of the $ {\mathrm{Z}}{\phi} $ signal with pseudoscalar couplings, where $ \Lambda_{\mathrm{PS}} $ denotes the mass scale of the effective interaction and $ \mathcal{B}(\phi \to \tau\tau) $ is the branching fraction of the $ \phi $ boson into a tau pair.

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Additional Figure 25:
The 95% confidence level expected and observed upper limits on the product of $ \sin^2\theta $ and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ of the $ {\mathrm{Z}}{\phi} $ signal with H-like production, where $ \theta $ denotes the mixing angle of the Higgs boson with the $ \phi $ boson and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ is the branching fraction of the $ \phi $ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 26:
The 95% confidence level expected and observed upper limits on the product of $ \sin^2\theta $ and $ \mathcal{B}(\phi \to \mu\mu) $ of the $ {\mathrm{Z}}{\phi} $ signal with H-like production, where $ \theta $ denotes the mixing angle of the Higgs boson with the $ \phi $ boson and $ \mathcal{B}(\phi \to \mu\mu) $ is the branching fraction of the $ \phi $ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 27:
The 95% confidence level expected and observed upper limits on the product of $ \sin^2\theta $ and $ \mathcal{B}(\phi \to \tau\tau) $ of the $ {\mathrm{Z}}{\phi} $ signal with H-like production, where $ \theta $ denotes the mixing angle of the Higgs boson with the $ \phi $ boson and $ \mathcal{B}(\phi \to \tau\tau) $ is the branching fraction of the $ \phi $ boson into a tau pair.

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Additional Figure 28:
The 95% confidence level expected and observed upper limits on the product of $ {\mathrm{g}}_{{\mathrm{t S}}}^2 $ and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with scalar couplings, where $ {\mathrm{g}}_{{\mathrm{t S}}} $ denotes the coupling of the $ \phi $ boson to the top quark and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ is the branching fraction of the $ \phi $ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 29:
The 95% confidence level expected and observed upper limits on the product of $ {\mathrm{g}}_{{\mathrm{t S}}}^2 $ and $ \mathcal{B}(\phi \to \mu\mu) $ of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with scalar couplings, where $ {\mathrm{g}}_{{\mathrm{t S}}} $ denotes the coupling of the $ \phi $ boson to the top quark and $ \mathcal{B}(\phi \to \mu\mu) $ is the branching fraction of the $ \phi $ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 30:
The 95% confidence level expected and observed upper limits on the product of $ {\mathrm{g}}_{{\mathrm{t S}}}^2 $ and $ \mathcal{B}(\phi \to \tau\tau) $ of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with scalar couplings, where $ {\mathrm{g}}_{{\mathrm{t S}}} $ denotes the coupling of the $ \phi $ boson to the top quark and $ \mathcal{B}(\phi \to \tau\tau) $ is the branching fraction of the $ \phi $ boson into a ditau pair.

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Additional Figure 31:
The 95% confidence level expected and observed upper limits on the product of $ {\mathrm{g}}_{{\mathrm{t PS}}}^2 $ and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with pseudoscalar couplings, where $ {\mathrm{g}}_{{\mathrm{t PS}}} $ denotes the coupling of the $ \phi $ boson to the top quark and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ is the branching fraction of the $ \phi $ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 32:
The 95% confidence level expected and observed upper limits on the product of $ {\mathrm{g}}_{{\mathrm{t PS}}}^2 $ and $ \mathcal{B}(\phi \to \mu\mu) $ of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with pseudoscalar couplings, where $ {\mathrm{g}}_{{\mathrm{t PS}}} $ denotes the coupling of the $ \phi $ boson to the top quark and $ \mathcal{B}(\phi \to \mu\mu) $ is the branching fraction of the $ \phi $ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 33:
The 95% confidence level expected and observed upper limits on the product of $ {\mathrm{g}}_{{\mathrm{t PS}}}^2 $ and $ \mathcal{B}(\phi \to \tau\tau) $ of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with pseudoscalar couplings, where $ {\mathrm{g}}_{{\mathrm{t PS}}} $ denotes the coupling of the $ \phi $ boson to the top quark and $ \mathcal{B}(\phi \to \tau\tau) $ is the branching fraction of the $ \phi $ boson into a tau pair.

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Additional Figure 34:
The 95% confidence level expected and observed upper limits on the product of $ \sin^2\theta $ and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with H-like production, where $ \theta $ denotes the mixing angle of the Higgs boson with the $ \phi $ boson and $ \mathcal{B}(\phi \to \mathrm{e}\mathrm{e}) $ is the branching fraction of the $ \phi $ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 35:
The 95% confidence level expected and observed upper limits on the product of $ \sin^2\theta $ and $ \mathcal{B}(\phi \to \mu\mu) $ of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with H-like production, where $ \theta $ denotes the mixing angle of the Higgs boson with the $ \phi $ boson and $ \mathcal{B}(\phi \to \mu\mu) $ is the branching fraction of the $ \phi $ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

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Additional Figure 36:
The 95% confidence level expected and observed upper limits on the product of $ \sin^2\theta $ and $ \mathcal{B}(\phi \to \tau\tau) $ of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with H-like production, where $ \theta $ denotes the mixing angle of the Higgs boson with the $ \phi $ boson and $ \mathcal{B}(\phi \to \tau\tau) $ is the branching fraction of the $ \phi $ boson into a tau pair.

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Additional Figure 37:
The 95% confidence level observed upper limits on the product of $ (1/\Lambda_{\mathrm{S}})^2 $ and $ \mathcal{B}(\phi \to \ell\ell) $ of the $ {\mathrm{W}}{\phi} $ signal with scalar couplings, where $ \Lambda_{\mathrm{S}} $ denotes the mass scale of the effective interaction and $ \mathcal{B}(\phi \to \ell\ell) $ is the branching fraction of the $ \phi $ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $ \phi $ boson are shown with the green, blue, and orange solid lines. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $ \phi $ boson.

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Additional Figure 38:
The 95% confidence level observed upper limits on the product of $ (1/\Lambda_{\mathrm{PS}})^2 $ and $ \mathcal{B}(\phi \to \ell\ell) $ of the $ {\mathrm{W}}{\phi} $ signal with pseudoscalar couplings, where $ \Lambda_{\mathrm{PS}} $ denotes the mass scale of the effective interaction and $ \mathcal{B}(\phi \to \ell\ell) $ is the branching fraction of the $ \phi $ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $ \phi $ boson are shown with the green, blue, and orange solid lines. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $ \phi $ boson.

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Additional Figure 39:
The 95% confidence level observed upper limits on the product of $ \sin^2\theta $ and $ \mathcal{B}(\phi \to \ell\ell) $ of the $ {\mathrm{W}}{\phi} $ signal with H-like production, where $ \theta $ denotes the mixing angle of the Higgs boson with the $ \phi $ boson and $ \mathcal{B}(\phi \to \ell\ell) $ is the branching fraction of the $ \phi $ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $ \phi $ boson are shown with the green, blue, and orange solid lines, respectively. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $ \phi $ boson.

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Additional Figure 40:
The 95% confidence level observed upper limits on the product of $ (1/\Lambda_{\mathrm{S}})^2 $ and $ \mathcal{B}(\phi \to \ell\ell) $ of the $ {\mathrm{Z}}{\phi} $ signal with scalar couplings, where $ \Lambda_{\mathrm{S}} $ denotes the mass scale of the effective interaction, and $ \mathcal{B}(\phi \to \ell\ell) $ is the branching fraction of the $ \phi $ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $ \phi $ boson are shown with the green, blue, and orange solid lines, respectively. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $ \phi $ boson.

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Additional Figure 41:
The 95% confidence level observed upper limits on the product of $ (1/\Lambda_{\mathrm{PS}})^2 $ and $ \mathcal{B}(\phi \to \ell\ell) $ of the $ {\mathrm{Z}}{\phi} $ signal with pseudoscalar couplings, where $ \Lambda_{\mathrm{PS}} $ denotes the mass scale of the effective interaction and $ \mathcal{B}(\phi \to \ell\ell) $ is the branching fraction of the $ \phi $ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $ \phi $ boson are shown with the green, blue, and orange solid lines, respectively. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $ \phi $ boson.

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Additional Figure 42:
The 95% confidence level observed upper limits on the product of $ \sin^2\theta $ and $ \mathcal{B}(\phi \to \ell\ell) $ of the $ {\mathrm{Z}}{\phi} $ signal with H-like production, where $ \theta $ denotes the mixing angle of the Higgs boson with the $ \phi $ boson and $ \mathcal{B}(\phi \to \ell\ell) $ is the branching fraction of the $ \phi $ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $ \phi $ boson are shown with the green, blue, and orange solid lines, respectively. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $ \phi $ boson.

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Additional Figure 43:
The 95% confidence level observed upper limits on the product of $ {\mathrm{g}}_{{\mathrm{t S}}}^2 $ and $ \mathcal{B}(\phi \to \ell\ell) $ of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with scalar couplings, where $ {\mathrm{g}}_{{\mathrm{t S}}} $ denotes the coupling of the $ \phi $ boson to the top quark and $ \mathcal{B}(\phi \to \ell\ell) $ is the branching fraction of the $ \phi $ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $ \phi $ boson are shown with the green, blue, and orange solid lines, respectively. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $ \phi $ boson.

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Additional Figure 44:
The 95% confidence level observed upper limits on the product of $ {\mathrm{g}}_{{\mathrm{t PS}}}^2 $ and $ \mathcal{B}(\phi \to \ell\ell) $ of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with pseudoscalar couplings, where $ {\mathrm{g}}_{{\mathrm{t PS}}} $ denotes the coupling of the $ \phi $ boson to the top quark and $ \mathcal{B}(\phi \to \ell\ell) $ is the branching fraction of the $ \phi $ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $ \phi $ boson are shown with the green, blue, and orange solid lines, respectively. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $ \phi $ boson.

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Additional Figure 45:
The 95% confidence level observed upper limits on the product of $ \sin^2\theta $ and $ \mathcal{B}(\phi \to \ell\ell) $ of the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with H-like production, where $ \theta $ denotes the mixing angle of the Higgs boson with the $ \phi $ boson and $ \mathcal{B}(\phi \to \ell\ell) $ is the branching fraction of the $ \phi $ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $ \phi $ boson are shown with the green, blue, and orange solid lines, respectively. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $ \phi $ boson.

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Additional Figure 46:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a scalar $ \phi $ boson in the $ {\mathrm{W}}{\phi} $ signal (with leptonic W decay) in each signal region in the dielectron decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 47:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a scalar $ \phi $ boson in the $ {\mathrm{W}}{\phi} $ signal (with leptonic W decay) in each signal region in the dimuon decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 48:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a scalar $ \phi $ boson in the $ {\mathrm{W}}{\phi} $ signal (with leptonic W decay) in each signal region in the ditau decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 49:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a pseudoscalar $ \phi $ boson in the $ {\mathrm{W}}{\phi} $ signal (with leptonic W decay) in each signal region in the dielectron decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 50:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a pseudoscalar $ \phi $ boson in the $ {\mathrm{W}}{\phi} $ signal (with leptonic W decay) in each signal region in the dimuon decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 51:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a pseudoscalar $ \phi $ boson in the $ {\mathrm{W}}{\phi} $ signal (with leptonic W decay) in each signal region in the ditau decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 52:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for an H-like $ \phi $ boson in the $ {\mathrm{W}}{\phi} $ signal (with leptonic W decay) in each signal region in the dielectron decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 53:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for an H-like $ \phi $ boson in the $ {\mathrm{W}}{\phi} $ signal (with leptonic W decay) in each signal region in the dimuon decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 54:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for an H-like $ \phi $ boson in the $ {\mathrm{W}}{\phi} $ signal (with leptonic W decay) in each signal region in the ditau decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 55:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a scalar $ \phi $ boson in the $ {\mathrm{Z}}{\phi} $ signal (with leptonic Z decay) in each signal region in the dielectron decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 56:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a scalar $ \phi $ boson in the $ {\mathrm{Z}}{\phi} $ signal (with leptonic Z decay) in each signal region in the dimuon decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 57:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a scalar $ \phi $ boson in the $ {\mathrm{Z}}{\phi} $ signal (with leptonic Z decay) in each signal region in the ditau decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 58:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a pseudoscalar $ \phi $ boson in the $ {\mathrm{Z}}{\phi} $ signal (with leptonic Z decay) in each signal region in the dielectron decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 59:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a pseudoscalar $ \phi $ boson in the $ {\mathrm{Z}}{\phi} $ signal (with leptonic Z decay) in each signal region in the dimuon decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 60:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a pseudoscalar $ \phi $ boson in the $ {\mathrm{Z}}{\phi} $ signal (with leptonic Z decay) in each signal region in the ditau decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 61:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for an H-like $ \phi $ boson in the $ {\mathrm{Z}}{\phi} $ signal (with leptonic Z decay) in each signal region in the dielectron decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 62:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for an H-like $ \phi $ boson in the $ {\mathrm{Z}}{\phi} $ signal (with leptonic Z decay) in each signal region in the dimuon decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 63:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for an H-like $ \phi $ boson in the $ {\mathrm{Z}}{\phi} $ signal (with leptonic Z decay) in each signal region in the ditau decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 64:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a scalar $ \phi $ boson in the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal (with inclusive $ {\mathrm{t}\overline{\mathrm{t}}} $ decay) in each signal region in the dielectron decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 65:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a scalar $ \phi $ boson in the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal (with inclusive $ {\mathrm{t}\overline{\mathrm{t}}} $ decay) in each signal region in the dimuon decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 66:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a scalar $ \phi $ boson in the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal (with inclusive $ {\mathrm{t}\overline{\mathrm{t}}} $ decay) in each signal region in the ditau decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 67:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a pseudoscalar $ \phi $ boson in the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal (with inclusive $ {\mathrm{t}\overline{\mathrm{t}}} $ decay) in each signal region in the dielectron decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 68:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a pseudoscalar $ \phi $ boson in the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal (with inclusive $ {\mathrm{t}\overline{\mathrm{t}}} $ decay) in each signal region in the dimuon decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 69:
The product of acceptance and efficiency, $ {\mathrm{A}}\varepsilon $, for a pseudoscalar $ \phi $ boson in the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal (with inclusive $ {\mathrm{t}\overline{\mathrm{t}}} $ decay) in each signal region in the ditau decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

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Additional Figure 70:
Generator level transverse momentum, $ p_{\mathrm{T}} $, of the $ \phi $ boson in the $ {\mathrm{W}}{\phi} $ signal with scalar couplings. Histograms are provided for several $ \phi $ masses as indicated in units of GeV, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

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Additional Figure 71:
Generator level transverse momentum, $ p_{\mathrm{T}} $, of $ \phi $ boson in the $ {\mathrm{W}}{\phi} $ signal with pseudoscalar couplings. Histograms are provided for several $ \phi $ masses as indicated in units of GeV, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

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Additional Figure 72:
Generator level transverse momentum, $ p_{\mathrm{T}} $, of the $ \phi $ boson in the $ {\mathrm{W}}{\phi} $ signal with H-like couplings. Histograms are provided for several $ \phi $ masses as indicated in units of GeV, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

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Additional Figure 73:
Generator level transverse momentum, $ p_{\mathrm{T}} $, of the $ \phi $ boson with a mass of 15 GeV in the $ {\mathrm{W}}{\phi} $ signal. Histograms are provided for scalar, pseudoscalar, and H-like $ \phi $ coupling scenarios, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

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Additional Figure 74:
Generator level transverse momentum, $ p_{\mathrm{T}} $, of the $ \phi $ boson with a mass of 300 GeV in the $ {\mathrm{W}}{\phi} $ signal. Histograms are provided for scalar, pseudoscalar, and H-like $ \phi $ coupling scenarios, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 75:
Generator level transverse momentum, $ p_{\mathrm{T}} $, of the $ \phi $ boson in the $ {\mathrm{Z}}{\phi} $ signal with scalar couplings. Histograms are provided for several $ \phi $ masses as indicated in units of GeV, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 76:
Generator level transverse momentum, $ p_{\mathrm{T}} $, of the $ \phi $ boson in the $ {\mathrm{Z}}{\phi} $ signal with pseudoscalar couplings. Histograms are provided for several $ \phi $ masses as indicated in units of GeV, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 77:
Generator level transverse momentum, $ p_{\mathrm{T}} $, of the $ \phi $ boson in the $ {\mathrm{Z}}{\phi} $ signal with H-like production. Histograms are provided for several $ \phi $ masses as indicated in units of GeV, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 78:
Generator level transverse momentum, $ p_{\mathrm{T}} $, of the $ \phi $ boson with mass of 15 GeV in the $ {\mathrm{Z}}{\phi} $ signal. Histograms are provided for scalar, pseudoscalar, and H-like $ \phi $ coupling scenarios, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 79:
Generator level transverse momentum, $ p_{\mathrm{T}} $, of the $ \phi $ boson with mass of 300 GeV in the $ {\mathrm{Z}}{\phi} $ signal. Histograms are provided for scalar, pseudoscalar, and\ H-like $ \phi $ coupling scenarios, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 80:
Generator level Z boson reconstructed mass in the $ {\mathrm{Z}}{\phi} $ signal with scalar couplings. Histograms are provided for several $ \phi $ masses as indicated in units of GeV, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 81:
Generator level Z boson reconstructed mass in the $ {\mathrm{Z}}{\phi} $ signal with pseudoscalar couplings. Histograms are provided for several $ \phi $ masses as indicated in units of GeV, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 82:
Generator level Z boson reconstructed mass in the $ {\mathrm{Z}}{\phi} $ signal with H-like production. Histograms are provided for several $ \phi $ masses as indicated in units of GeV, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 83:
Generator level Z boson reconstructed mass in the $ {\mathrm{Z}}{\phi} $ signal with a $ \phi $ boson mass of 15 GeV. Histograms are provided for scalar, pseudoscalar, and H-like $ \phi $ coupling scenarios, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 84:
Generator level Z boson reconstructed mass in the $ {\mathrm{Z}}{\phi} $ signal with a $ \phi $ boson mass of 125 GeV. Histograms are provided for scalar, pseudoscalar, and H-like $ \phi $ coupling scenarios, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 85:
Generator level transverse momentum, $ p_{\mathrm{T}} $, of $ \phi $ boson in the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with scalar couplings. Histograms are provided for several $ \phi $ masses as indicated in units of GeV, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 86:
Generator level transverse momentum, $ p_{\mathrm{T}} $, of the $ \phi $ boson in the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with pseudoscalar couplings. Histograms are provided for several $ \phi $ masses as indicated in units of GeV, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 87:
Generator level transverse momentum, $ p_{\mathrm{T}} $, of $ \phi $ boson with mass of 15 GeV in the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal. Histograms are provided for scalar and pseudoscalar $ \phi $ coupling scenarios, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 88:
Generator level transverse momentum, $ p_{\mathrm{T}} $, of $ \phi $ boson with mass of 125 GeV in the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal. Histograms are provided for scalar and pseudoscalar $ \phi $ coupling scenarios, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 89:
Generator level invariant mass of the b quark, W boson, and $ \phi $ boson three-body system in the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with scalar coupling. Histograms are provided for several $ \phi $ masses as indicated in units of GeV, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 90:
Generator level invariant mass of the b quark, W boson, and $ \phi $ boson three-body system in the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal with pseudoscalar coupling. Histograms are provided for several $ \phi $ masses as indicated in units of GeV, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 91:
Generator level invariant mass of the b quark, W boson, and $ \phi $ boson three-body system with $ \phi $ mass of 15 GeV in the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal. Histograms are provided for scalar and pseudoscalar $ \phi $ coupling scenarios, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.

png pdf
Additional Figure 92:
Generator level invariant mass of the b quark, W boson, and $ \phi $ boson three-body system with $ \phi $ mass of 125 GeV in the $ {{\mathrm{t}\overline{\mathrm{t}}} }{\phi} $ signal. Histograms are provided for scalar and pseudoscalar $ \phi $ coupling scenarios, and are normalized to the same integral value. The rightmost bin contains the overflow events in each distribution.
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