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CMS-PAS-EXO-21-018
Search for dilepton resonances from decays of (pseudo)scalar bosons produced in association with a massive vector boson or top quark anti-top quark pair at $\sqrt{s}= $ 13 TeV
Abstract: A search for beyond the standard model scalar and pseudoscalar bosons that decay into pairs of electrons, muons, or tau leptons is presented. The search probes such new bosons that are produced in association with a W or Z boson, or a top quark anti-top quark pair, in events with with three or four leptons, including hadronic decays of tau leptons. The proton-proton collision dataset used in the analysis is collected by the CMS experiment at the LHC in 2016-2018 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 expectations from standard model processes. Upper limits at 95% confidence level are placed on the product of cross section and branching fraction of such new particles with scalar, pseudoscalar, or Higgs-like couplings. Considering a single production, coupling, and decay scenario at a time, the observations exclude product of cross section and branching fraction values above 50-0.5 fb, 30-0.5 fb and 200-1 fb for new scalar, pseudoscalar, and Higgs-like bosons, respectively, that have a mass in the range 15-350 GeV and exclusively decay into dielectron or dimuon pairs. Similarly, assuming such new bosons exclusively decay into pairs of tau leptons, the product of cross section and branching fraction values above 35-0.004 pb, 80-0.004 pb, and 250-0.008 pb are excluded for scalar, pseudoscalar, and Higgs-like couplings, respectively. These are the most restrictive direct limits in these production and decay modes on an extension of the standard model with scalar or pseudoscalar particles.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Example production and decay diagrams for W$\phi$, Z$\phi$, and $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}$ signal models, producing multilepton final states.

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Figure 1-a:
Example production and decay diagrams for W$\phi$, Z$\phi$, and $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}$ signal models, producing multilepton final states.

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Figure 1-b:
Example production and decay diagrams for W$\phi$, Z$\phi$, and $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}$ signal models, producing multilepton final states.

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Figure 1-c:
Example production and decay diagrams for W$\phi$, Z$\phi$, and $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}$ signal models, producing multilepton final states.

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Figure 2:
Dilepton mass spectra for the $ {{\mathrm{W}}\phi}(\mathrm{e} \mathrm{e})$ SR1 (upper) and SR2 (center) and $ {{\mathrm{Z}}\phi}(\mathrm{e} \mathrm{e})$ SR (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 2-a:
Dilepton mass spectra for the $ {{\mathrm{W}}\phi}(\mathrm{e} \mathrm{e})$ SR1 (upper) and SR2 (center) and $ {{\mathrm{Z}}\phi}(\mathrm{e} \mathrm{e})$ SR (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 2-b:
Dilepton mass spectra for the $ {{\mathrm{W}}\phi}(\mathrm{e} \mathrm{e})$ SR1 (upper) and SR2 (center) and $ {{\mathrm{Z}}\phi}(\mathrm{e} \mathrm{e})$ SR (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 2-c:
Dilepton mass spectra for the $ {{\mathrm{W}}\phi}(\mathrm{e} \mathrm{e})$ SR1 (upper) and SR2 (center) and $ {{\mathrm{Z}}\phi}(\mathrm{e} \mathrm{e})$ SR (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 2-d:
Dilepton mass spectra for the $ {{\mathrm{W}}\phi}(\mathrm{e} \mathrm{e})$ SR1 (upper) and SR2 (center) and $ {{\mathrm{Z}}\phi}(\mathrm{e} \mathrm{e})$ SR (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 2-e:
Dilepton mass spectra for the $ {{\mathrm{W}}\phi}(\mathrm{e} \mathrm{e})$ SR1 (upper) and SR2 (center) and $ {{\mathrm{Z}}\phi}(\mathrm{e} \mathrm{e})$ SR (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 2-f:
Dilepton mass spectra for the $ {{\mathrm{W}}\phi}(\mathrm{e} \mathrm{e})$ SR1 (upper) and SR2 (center) and $ {{\mathrm{Z}}\phi}(\mathrm{e} \mathrm{e})$ SR (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 3:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}(\mathrm{e} \mathrm{e})$ SR1 (upper) and SR2 (center) and SR3 (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 3-a:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}(\mathrm{e} \mathrm{e})$ SR1 (upper) and SR2 (center) and SR3 (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 3-b:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}(\mathrm{e} \mathrm{e})$ SR1 (upper) and SR2 (center) and SR3 (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 3-c:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}(\mathrm{e} \mathrm{e})$ SR1 (upper) and SR2 (center) and SR3 (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 3-d:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}(\mathrm{e} \mathrm{e})$ SR1 (upper) and SR2 (center) and SR3 (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 3-e:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}(\mathrm{e} \mathrm{e})$ SR1 (upper) and SR2 (center) and SR3 (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 3-f:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}(\mathrm{e} \mathrm{e})$ SR1 (upper) and SR2 (center) and SR3 (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 4:
Dilepton mass spectra for the $ {{\mathrm{W}}\phi}(\mu \mu)$ SR1 (upper) and SR2 (center) and $ {{\mathrm{Z}}\phi}(\mu \mu)$ SR (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 4-a:
Dilepton mass spectra for the $ {{\mathrm{W}}\phi}(\mu \mu)$ SR1 (upper) and SR2 (center) and $ {{\mathrm{Z}}\phi}(\mu \mu)$ SR (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 4-b:
Dilepton mass spectra for the $ {{\mathrm{W}}\phi}(\mu \mu)$ SR1 (upper) and SR2 (center) and $ {{\mathrm{Z}}\phi}(\mu \mu)$ SR (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 4-c:
Dilepton mass spectra for the $ {{\mathrm{W}}\phi}(\mu \mu)$ SR1 (upper) and SR2 (center) and $ {{\mathrm{Z}}\phi}(\mu \mu)$ SR (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 4-d:
Dilepton mass spectra for the $ {{\mathrm{W}}\phi}(\mu \mu)$ SR1 (upper) and SR2 (center) and $ {{\mathrm{Z}}\phi}(\mu \mu)$ SR (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 4-e:
Dilepton mass spectra for the $ {{\mathrm{W}}\phi}(\mu \mu)$ SR1 (upper) and SR2 (center) and $ {{\mathrm{Z}}\phi}(\mu \mu)$ SR (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 4-f:
Dilepton mass spectra for the $ {{\mathrm{W}}\phi}(\mu \mu)$ SR1 (upper) and SR2 (center) and $ {{\mathrm{Z}}\phi}(\mu \mu)$ SR (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 5:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}(\mu \mu)$ SR1 (upper) and SR2 (center) and SR3 (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 5-a:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}(\mu \mu)$ SR1 (upper) and SR2 (center) and SR3 (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 5-b:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}(\mu \mu)$ SR1 (upper) and SR2 (center) and SR3 (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 5-c:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}(\mu \mu)$ SR1 (upper) and SR2 (center) and SR3 (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 5-d:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}(\mu \mu)$ SR1 (upper) and SR2 (center) and SR3 (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 5-e:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}(\mu \mu)$ SR1 (upper) and SR2 (center) and SR3 (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 5-f:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}(\mu \mu)$ SR1 (upper) and SR2 (center) and SR3 (lower) 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, 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 fitting the data 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 are indicated in the legend.

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Figure 6:
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, 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 fitting the data 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 are indicated in the legend.

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Figure 6-a:
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, 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 fitting the data 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 are indicated in the legend.

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Figure 6-b:
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, 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 fitting the data 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 are indicated in the legend.

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Figure 6-c:
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, 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 fitting the data 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 are indicated in the legend.

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Figure 6-d:
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, 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 fitting the data 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 are indicated in the legend.

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Figure 6-e:
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, 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 fitting the data 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 are indicated in the legend.

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Figure 6-f:
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, 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 fitting the data 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 are indicated in the legend.

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Figure 7:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{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, 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 fitting the data 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 are indicated in the legend.

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Figure 7-a:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{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, 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 fitting the data 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 are indicated in the legend.

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Figure 7-b:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{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, 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 fitting the data 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 are indicated in the legend.

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Figure 7-c:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{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, 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 fitting the data 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 are indicated in the legend.

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Figure 7-d:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{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, 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 fitting the data 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 are indicated in the legend.

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Figure 7-e:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{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, 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 fitting the data 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 are indicated in the legend.

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Figure 7-f:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{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, 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 fitting the data 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 are indicated in the legend.

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Figure 8:
Dilepton mass spectra for the $ {{\mathrm{t} {}\mathrm{\bar{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, 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 fitting the data 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 are indicated in the legend.

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Figure 9:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the W$\phi$ signal model in the dielectron (upper), dimuon (center) and ditau (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 W$\phi$ model.

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Figure 9-a:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the W$\phi$ signal model in the dielectron (upper), dimuon (center) and ditau (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 W$\phi$ model.

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Figure 9-b:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the W$\phi$ signal model in the dielectron (upper), dimuon (center) and ditau (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 W$\phi$ model.

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Figure 9-c:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the W$\phi$ signal model in the dielectron (upper), dimuon (center) and ditau (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 W$\phi$ model.

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Figure 9-d:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the W$\phi$ signal model in the dielectron (upper), dimuon (center) and ditau (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 W$\phi$ model.

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Figure 9-e:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the W$\phi$ signal model in the dielectron (upper), dimuon (center) and ditau (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 W$\phi$ model.

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Figure 9-f:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the W$\phi$ signal model in the dielectron (upper), dimuon (center) and ditau (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 W$\phi$ model.

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Figure 10:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the Z$\phi$ signal model in the dielectron (upper), dimuon (center) and ditau (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 Z$\phi$ model.

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Figure 10-a:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the Z$\phi$ signal model in the dielectron (upper), dimuon (center) and ditau (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 Z$\phi$ model.

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Figure 10-b:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the Z$\phi$ signal model in the dielectron (upper), dimuon (center) and ditau (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 Z$\phi$ model.

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Figure 10-c:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the Z$\phi$ signal model in the dielectron (upper), dimuon (center) and ditau (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 Z$\phi$ model.

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Figure 10-d:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the Z$\phi$ signal model in the dielectron (upper), dimuon (center) and ditau (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 Z$\phi$ model.

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Figure 10-e:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the Z$\phi$ signal model in the dielectron (upper), dimuon (center) and ditau (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 Z$\phi$ model.

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Figure 10-f:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the Z$\phi$ signal model in the dielectron (upper), dimuon (center) and ditau (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 Z$\phi$ model.

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Figure 11:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}$ signal model in the dielectron (upper), dimuon (center) and ditau (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} {}\mathrm{\bar{t}}} \phi}$ model.

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Figure 11-a:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}$ signal model in the dielectron (upper), dimuon (center) and ditau (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} {}\mathrm{\bar{t}}} \phi}$ model.

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Figure 11-b:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}$ signal model in the dielectron (upper), dimuon (center) and ditau (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} {}\mathrm{\bar{t}}} \phi}$ model.

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Figure 11-c:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}$ signal model in the dielectron (upper), dimuon (center) and ditau (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} {}\mathrm{\bar{t}}} \phi}$ model.

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Figure 11-d:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}$ signal model in the dielectron (upper), dimuon (center) and ditau (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} {}\mathrm{\bar{t}}} \phi}$ model.

png pdf
Figure 11-e:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}$ signal model in the dielectron (upper), dimuon (center) and ditau (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} {}\mathrm{\bar{t}}} \phi}$ model.

png pdf
Figure 11-f:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the $ {{\mathrm{t} {}\mathrm{\bar{t}}} \phi}$ signal model in the dielectron (upper), dimuon (center) and ditau (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} {}\mathrm{\bar{t}}} \phi}$ model.

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Figure 12:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the W$\phi$ signal model on the left and the Z$\phi$ signal model on the right with Higgs-like couplings in the dielectron (upper), dimuon (center) and ditau (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 W$\phi$ and Z$\phi$ signal models.

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Figure 12-a:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the W$\phi$ signal model on the left and the Z$\phi$ signal model on the right with Higgs-like couplings in the dielectron (upper), dimuon (center) and ditau (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 W$\phi$ and Z$\phi$ signal models.

png pdf
Figure 12-b:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the W$\phi$ signal model on the left and the Z$\phi$ signal model on the right with Higgs-like couplings in the dielectron (upper), dimuon (center) and ditau (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 W$\phi$ and Z$\phi$ signal models.

png pdf
Figure 12-c:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the W$\phi$ signal model on the left and the Z$\phi$ signal model on the right with Higgs-like couplings in the dielectron (upper), dimuon (center) and ditau (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 W$\phi$ and Z$\phi$ signal models.

png pdf
Figure 12-d:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the W$\phi$ signal model on the left and the Z$\phi$ signal model on the right with Higgs-like couplings in the dielectron (upper), dimuon (center) and ditau (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 W$\phi$ and Z$\phi$ signal models.

png pdf
Figure 12-e:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the W$\phi$ signal model on the left and the Z$\phi$ signal model on the right with Higgs-like couplings in the dielectron (upper), dimuon (center) and ditau (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 W$\phi$ and Z$\phi$ signal models.

png pdf
Figure 12-f:
The 95% confidence level upper limits on the product of the signal production cross section and branching fraction of the W$\phi$ signal model on the left and the Z$\phi$ signal model on the right with Higgs-like couplings in the dielectron (upper), dimuon (center) and ditau (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 W$\phi$ and Z$\phi$ signal models.
Tables

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Table 1:
A summary of control regions for the irreducible SM processes ZZ, Z$\gamma$, WZ, and $ {{{\mathrm{t} {}\mathrm{\bar{t}}}}{\mathrm{Z}}}$, and for the misidentified lepton backgrounds (MisID e/$\mu $ and MisID $\tau$). The ${{p_{\mathrm {T}}} ^\text {miss}}$, ${M_{\rm T}}$, the minimum 3L lepton ${p_{\mathrm {T}}} $ (${p_{\mathrm {T}}} ^{\mathrm {3}}$), $ {M_{\ell}}$, and $ {S_{\rm T}}$ are in units of GeV. The 3L OnZ CR is further split into 3L MisID e$\mu$ CR, 3L WZ CR, and 3L $ {{{\mathrm{t} {}\mathrm{\bar{t}}}}{\mathrm{Z}}}$ CR.

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Table 2:
Low and high mass signal region selections for $ {{\mathrm{X}}\phi}\to \mathrm{e} \mathrm{e} /\mu \mu $ signal models. 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. $ {S_{\rm T}}$, $ {p_{\mathrm {T}}} ^3$, 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 $ signal models. 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. $ {S_{\rm T}}$, $ {p_{\mathrm {T}}} ^3$, and $ {M_{\ell}}$ requirements are specified in units of $ GeV $.

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Table 4:
Sources, magnitudes, effective variations, and correlation properties of systematic uncertainties in the signal regions. Uncertainty sources marked as "Yes'' under the Correlation column have their nuisance parameters correlated across the 3 years of data collection. Uncertainty sources marked with an "*'' in the Variation column are not flat.
Summary
A search has been performed for physics beyond the standard model using 138 fb$^{-1}$ of pp collision data collected with the CMS detector at $\sqrt{s} = $ 13 TeV. A resonant dilepton signature has been sought after in multilepton events, but no statistically significant excess compatible with the considered signal scenarios is observed over the SM background expectation in the probed mass spectra. The results constrain the allowed parameter space of the targeted signal models of new spin-0 particles with scalar, pseudoscalar, or Higgs-like couplings. Constraints are calculated at 95% confidence level on the product of production cross section and branching fraction of such bosons with masses in the range of 15 to 350 GeV produced in association with a W or a Z boson, or a $\mathrm{t\bar{t}}$ pair and exclusively decaying into dielectron, dimuon, and ditau pairs. The observations exclude product of cross section and branching fraction values above 50-0.5 fb, 30-0.5 fb and 200-1 fb for new scalar, pseudoscalar, and Higgs-like bosons, respectively, for exclusive decays of $\phi$ bosons into dielectron or dimuon pairs. Similarly, assuming such new bosons exclusively decay into pairs of tau leptons, the product of cross section and branching fraction values above 35-0.004 pb, 80-0.004 pb, and 250-0.008 pb are excluded for scalar, pseudoscalar, and Higgs-like couplings, respectively, in the probed mass range. These are the most restrictive direct limits in these production and decay modes on an extension of the standard model with scalar or pseudoscalar particle. For the ${\mathrm{t\bar{t}}\phi}\to\tau\tau$ as well as the W$\phi$ and Z$\phi$ signal models, these also constitute the first direct constraints on an extension of the standard model with such scalar or pseudoscalar states in this mass range.
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