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CMS-PAS-B2G-24-009
Search for a heavy resonance produced in association with and decaying to a top quark pair in the single lepton final state in proton-proton collisions at $ \sqrt{s} = $ 13 TeV
Abstract: A search for a top-philic Z' boson in the final state with one electron or muon and jets is presented. The Z' boson is produced in association with and decays to a top quark-antiquark pair, coupling exclusively to top quarks. The analysis aims to identify a heavy Z' boson that results in Lorentz-boosted top quarks, whose hadronic decay products are merged into large-radius jets. We employ a machine learning algorithm (ParticleNet) to identify such jets. The distribution of invariant mass for the two most energetic top quark candidates is used to search for a Z' boson in the mass range of 0.5 to 3 TeV with decay widths of 4%, 10%, 20%, and 50% relative to its mass. They are found to be in agreement with the standard model background prediction. Upper limits at 95% confidence level are set on the production cross section of the Z' boson as a function of its mass, for each of the considered decay widths. These results represent the most stringent constraints to date on the existence of the Z' boson in the scenario where the Z' boson exclusively couples to top quarks. The data were recorded by the CMS experiment at the CERN LHC in proton-proton collisions at $ \sqrt{s} = $ 13 TeV and correspond to an integrated luminosity of 138 fb$ ^{-1} $.
Figures Summary References CMS Publications
Figures

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Figure 1:
Example of tree-level Feynman diagram for a $ \mathrm{Z}^{'} $ boson produced in association with and decaying to a pair of top quarks.

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Figure 2:
The pre-fit distributions of the variable m$ _{\mathrm{Z}^{'}} $ are shown for the expected background (stacked histograms), data (black points), and two $ \mathrm{Z}^{'} $ signal hypotheses at mass of 1 TeV with a $ \Gamma/m_{Z'} $ of 4% (blue line) and 50% (dashed blue line), for events passing the control region with the muon (left) and electron (right) channels. The cross sections for all signals displayed are normalized to 0.1 fb. The hatched band in the upper panels represents the total uncertainty. The lower panel displays the ratio, along with the total uncertainty, between the observation and the SM expectation.

png
Figure 2-a:
The pre-fit distributions of the variable m$ _{\mathrm{Z}^{'}} $ are shown for the expected background (stacked histograms), data (black points), and two $ \mathrm{Z}^{'} $ signal hypotheses at mass of 1 TeV with a $ \Gamma/m_{Z'} $ of 4% (blue line) and 50% (dashed blue line), for events passing the control region with the muon (left) and electron (right) channels. The cross sections for all signals displayed are normalized to 0.1 fb. The hatched band in the upper panels represents the total uncertainty. The lower panel displays the ratio, along with the total uncertainty, between the observation and the SM expectation.

png
Figure 2-b:
The pre-fit distributions of the variable m$ _{\mathrm{Z}^{'}} $ are shown for the expected background (stacked histograms), data (black points), and two $ \mathrm{Z}^{'} $ signal hypotheses at mass of 1 TeV with a $ \Gamma/m_{Z'} $ of 4% (blue line) and 50% (dashed blue line), for events passing the control region with the muon (left) and electron (right) channels. The cross sections for all signals displayed are normalized to 0.1 fb. The hatched band in the upper panels represents the total uncertainty. The lower panel displays the ratio, along with the total uncertainty, between the observation and the SM expectation.

png pdf
Figure 3:
The post-fit distribution of the variable m$ _{\mathrm{Z}^{'}} $ is shown for the expected background (stacked plot), data (black points), and two $ \mathrm{Z}^{'} $ signal hypotheses at mass of 1 TeV with a $ \Gamma/m_{Z'} $ of 4% (blue line) and 50% (dashed blue line), in the signal (top) and control (bottom) regions for the muon (left) and electron (right) channels. The cross sections for all signals displayed are normalized to 0.1 fb. The cross-hatched band in the upper panels represents the total uncertainty.

png
Figure 3-a:
The post-fit distribution of the variable m$ _{\mathrm{Z}^{'}} $ is shown for the expected background (stacked plot), data (black points), and two $ \mathrm{Z}^{'} $ signal hypotheses at mass of 1 TeV with a $ \Gamma/m_{Z'} $ of 4% (blue line) and 50% (dashed blue line), in the signal (top) and control (bottom) regions for the muon (left) and electron (right) channels. The cross sections for all signals displayed are normalized to 0.1 fb. The cross-hatched band in the upper panels represents the total uncertainty.

png
Figure 3-b:
The post-fit distribution of the variable m$ _{\mathrm{Z}^{'}} $ is shown for the expected background (stacked plot), data (black points), and two $ \mathrm{Z}^{'} $ signal hypotheses at mass of 1 TeV with a $ \Gamma/m_{Z'} $ of 4% (blue line) and 50% (dashed blue line), in the signal (top) and control (bottom) regions for the muon (left) and electron (right) channels. The cross sections for all signals displayed are normalized to 0.1 fb. The cross-hatched band in the upper panels represents the total uncertainty.

png
Figure 3-c:
The post-fit distribution of the variable m$ _{\mathrm{Z}^{'}} $ is shown for the expected background (stacked plot), data (black points), and two $ \mathrm{Z}^{'} $ signal hypotheses at mass of 1 TeV with a $ \Gamma/m_{Z'} $ of 4% (blue line) and 50% (dashed blue line), in the signal (top) and control (bottom) regions for the muon (left) and electron (right) channels. The cross sections for all signals displayed are normalized to 0.1 fb. The cross-hatched band in the upper panels represents the total uncertainty.

png
Figure 3-d:
The post-fit distribution of the variable m$ _{\mathrm{Z}^{'}} $ is shown for the expected background (stacked plot), data (black points), and two $ \mathrm{Z}^{'} $ signal hypotheses at mass of 1 TeV with a $ \Gamma/m_{Z'} $ of 4% (blue line) and 50% (dashed blue line), in the signal (top) and control (bottom) regions for the muon (left) and electron (right) channels. The cross sections for all signals displayed are normalized to 0.1 fb. The cross-hatched band in the upper panels represents the total uncertainty.

png pdf
Figure 4:
Upper limits on $ \sigma( \mathrm{pp}\rightarrow \mathrm{t \bar{t} } Z') \mathcal{B}(\mathrm{Z}^{'} \rightarrow {\mathrm{ t \bar{t} }} ) $ as a function to $ \mathrm{Z}^{'} $ boson mass of different $ \Gamma/m_{Z'} $: 4% (top left), 10% (top right), 20% (bottom left) and 50% (bottom right), for the electron and muon channels combined using 2016-18 data. The bands represent the one (yellow) and two (cyan) standard deviation variations of the expected limit. The dashed green curve indicates the theoretical predictions at LO based on the model implementation in [47].

png pdf
Figure 4-a:
Upper limits on $ \sigma( \mathrm{pp}\rightarrow \mathrm{t \bar{t} } Z') \mathcal{B}(\mathrm{Z}^{'} \rightarrow {\mathrm{ t \bar{t} }} ) $ as a function to $ \mathrm{Z}^{'} $ boson mass of different $ \Gamma/m_{Z'} $: 4% (top left), 10% (top right), 20% (bottom left) and 50% (bottom right), for the electron and muon channels combined using 2016-18 data. The bands represent the one (yellow) and two (cyan) standard deviation variations of the expected limit. The dashed green curve indicates the theoretical predictions at LO based on the model implementation in [47].

png pdf
Figure 4-b:
Upper limits on $ \sigma( \mathrm{pp}\rightarrow \mathrm{t \bar{t} } Z') \mathcal{B}(\mathrm{Z}^{'} \rightarrow {\mathrm{ t \bar{t} }} ) $ as a function to $ \mathrm{Z}^{'} $ boson mass of different $ \Gamma/m_{Z'} $: 4% (top left), 10% (top right), 20% (bottom left) and 50% (bottom right), for the electron and muon channels combined using 2016-18 data. The bands represent the one (yellow) and two (cyan) standard deviation variations of the expected limit. The dashed green curve indicates the theoretical predictions at LO based on the model implementation in [47].

png pdf
Figure 4-c:
Upper limits on $ \sigma( \mathrm{pp}\rightarrow \mathrm{t \bar{t} } Z') \mathcal{B}(\mathrm{Z}^{'} \rightarrow {\mathrm{ t \bar{t} }} ) $ as a function to $ \mathrm{Z}^{'} $ boson mass of different $ \Gamma/m_{Z'} $: 4% (top left), 10% (top right), 20% (bottom left) and 50% (bottom right), for the electron and muon channels combined using 2016-18 data. The bands represent the one (yellow) and two (cyan) standard deviation variations of the expected limit. The dashed green curve indicates the theoretical predictions at LO based on the model implementation in [47].

png pdf
Figure 4-d:
Upper limits on $ \sigma( \mathrm{pp}\rightarrow \mathrm{t \bar{t} } Z') \mathcal{B}(\mathrm{Z}^{'} \rightarrow {\mathrm{ t \bar{t} }} ) $ as a function to $ \mathrm{Z}^{'} $ boson mass of different $ \Gamma/m_{Z'} $: 4% (top left), 10% (top right), 20% (bottom left) and 50% (bottom right), for the electron and muon channels combined using 2016-18 data. The bands represent the one (yellow) and two (cyan) standard deviation variations of the expected limit. The dashed green curve indicates the theoretical predictions at LO based on the model implementation in [47].
Summary
A search for a top-philic $ \mathrm{Z}^{'} $ boson produced in association with two top quarks and decaying into a top quark pair has been presented. The investigation focuses on the single-lepton (electron or muon) channel, along with hadronically decaying top quarks. The case of a significant Z'-top quark mass splitting is considered, resulting in boosted top quarks. These are reconstructed using the PARTICLENET algorithm that employs advanced machine learning techniques to improve signal-to-background separation and enhance the search sensitivity. The reconstructed $ \mathrm{Z}^{'} $ boson mass, defined as the invariant mass of the two highest-transverse-momentum top quark candidates, is used to probe for the presence of a signal beyond the standard model (SM) expectations. The data used in this search correspond to an integrated luminosity of 138 fb$^{-1} $, collected with the CMS detector at the LHC in pp collisions at $ \sqrt{s} = $ 13 TeV. The observations are consistent with standard model predictions. For the first time, exclusion limits are provided for $ \mathrm{Z}^{'} $ boson widths ranging from 4 to 50% and as a function of the $ \mathrm{Z}^{'} $ boson mass. The lower limits on the $ {\mathrm{t}\overline{\mathrm{t}}} \mathrm{Z}^{'} $ production cross section, at 95% confidence level, range between 170 and 3 fb for a value of $ \Gamma/m_{Z'} $, over the mass range between 500 and 3000 GeV. For values of $ \Gamma/m_{Z'} $ of 10, 20 and 50% the ranges are 160 to 6 fb, 160 to 9 fb and 110 to 17 fb. They correspond to an upper limit on the $ \mathrm{Z}^{'} $ mass of 564, 849, and 1125 GeV for values of $ \Gamma/m_{Z'} $ of 10, 20, and 50%. These results represent the most stringent limits to date on the existence of a $ \mathrm{Z}^{'} $ boson, in the scenario where the $ \mathrm{Z}^{'} $ boson exclusively couples to top quarks.
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