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CMS-B2G-19-001 ; CERN-EP-2024-067
Search for production of a single vector-like quark decaying to tH or tZ in the all-hadronic final state in pp collisions at $ \sqrt{s} = $ 13 TeV
Submitted to Phys. Rev. D
Abstract: A search for electroweak production of a single vector-like T quark in association with a bottom (b) quark in the all-hadronic decay channel is presented. This search uses proton-proton collision data at $ \sqrt{s} = $ 13 TeV collected by the CMS experiment at the CERN LHC during 2016-2018, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. The T quark is assumed to have charge 2$ / $3 and decay to a top (t) quark and a Higgs (H) or Z boson. Event kinematics and the presence of jets containing b hadrons are used to reconstruct the hadronic decays of the t quark and H or Z boson. No significant deviation from the standard model prediction is observed in the data. The 95% confidence level upper limits on the product of the production cross section and branching fraction of a T quark produced in association with a b quark and decaying via tH or tZ range from 1260 to 68 fb for T quark masses of 600-1200 GeV.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

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Figure 1:
Example of Feynman diagram for electroweak production of a vector-like T quark.

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Figure 2:
The five-jet invariant mass distribution in the 2M1L region after the high-mass (green crosses) and low-mass (black circles) selections in 2018 data. The rightmost bin of the distribution is an overflow bin. The low-mass selection results in a mass distribution that is smoothly falling, unlike the high-mass selection. The high-mass selection is more efficient for T quark masses above 700 GeV by up to 25% while maintaining a similar background level, as detailed in Section 4.2.1.

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Figure 3:
Weights from b tagging ratios (open markers) as functions of the five-jet invariant mass in 2018 data for the low-mass (upper) and high-mass (lower) selections. The left graphs show weights connecting the 2M1L and 3M regions, and the right graphs show weights connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the low-mass (high-mass) analysis only signals with mass below (above) 800 GeV are tested, so primarily the lower (upper) part of the distribution contributes to the final result.

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Figure 3-a:
Weights from b tagging ratios (open markers) as functions of the five-jet invariant mass in 2018 data for the low-mass (upper) and high-mass (lower) selections. The left graphs show weights connecting the 2M1L and 3M regions, and the right graphs show weights connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the low-mass (high-mass) analysis only signals with mass below (above) 800 GeV are tested, so primarily the lower (upper) part of the distribution contributes to the final result.

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Figure 3-b:
Weights from b tagging ratios (open markers) as functions of the five-jet invariant mass in 2018 data for the low-mass (upper) and high-mass (lower) selections. The left graphs show weights connecting the 2M1L and 3M regions, and the right graphs show weights connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the low-mass (high-mass) analysis only signals with mass below (above) 800 GeV are tested, so primarily the lower (upper) part of the distribution contributes to the final result.

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Figure 3-c:
Weights from b tagging ratios (open markers) as functions of the five-jet invariant mass in 2018 data for the low-mass (upper) and high-mass (lower) selections. The left graphs show weights connecting the 2M1L and 3M regions, and the right graphs show weights connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the low-mass (high-mass) analysis only signals with mass below (above) 800 GeV are tested, so primarily the lower (upper) part of the distribution contributes to the final result.

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Figure 3-d:
Weights from b tagging ratios (open markers) as functions of the five-jet invariant mass in 2018 data for the low-mass (upper) and high-mass (lower) selections. The left graphs show weights connecting the 2M1L and 3M regions, and the right graphs show weights connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the low-mass (high-mass) analysis only signals with mass below (above) 800 GeV are tested, so primarily the lower (upper) part of the distribution contributes to the final result.

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Figure 4:
The five-jet invariant mass distribution in the tH channel (black markers) after the high-mass selection in the QCD multijet 3T control region (upper left), the $ \mathrm{t} \overline{\mathrm{t}} $ 2T1L control region (upper right), and the 3M signal region (lower) for the 2018 data. The histograms are the corresponding reweighted 2M1L distributions. The background distribution is normalized to the number of entries in the data. The shaded area corresponds to the statistical uncertainties in the 2M1L control regions. A potential 900 GeV T signal (red cross-hatched histogram) is added to the background histogram demonstrating a negligible contribution. Similar results are observed in the tZ channel, and for the other years, but with slightly larger statistical uncertainties.

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Figure 4-a:
The five-jet invariant mass distribution in the tH channel (black markers) after the high-mass selection in the QCD multijet 3T control region (upper left), the $ \mathrm{t} \overline{\mathrm{t}} $ 2T1L control region (upper right), and the 3M signal region (lower) for the 2018 data. The histograms are the corresponding reweighted 2M1L distributions. The background distribution is normalized to the number of entries in the data. The shaded area corresponds to the statistical uncertainties in the 2M1L control regions. A potential 900 GeV T signal (red cross-hatched histogram) is added to the background histogram demonstrating a negligible contribution. Similar results are observed in the tZ channel, and for the other years, but with slightly larger statistical uncertainties.

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Figure 4-b:
The five-jet invariant mass distribution in the tH channel (black markers) after the high-mass selection in the QCD multijet 3T control region (upper left), the $ \mathrm{t} \overline{\mathrm{t}} $ 2T1L control region (upper right), and the 3M signal region (lower) for the 2018 data. The histograms are the corresponding reweighted 2M1L distributions. The background distribution is normalized to the number of entries in the data. The shaded area corresponds to the statistical uncertainties in the 2M1L control regions. A potential 900 GeV T signal (red cross-hatched histogram) is added to the background histogram demonstrating a negligible contribution. Similar results are observed in the tZ channel, and for the other years, but with slightly larger statistical uncertainties.

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Figure 4-c:
The five-jet invariant mass distribution in the tH channel (black markers) after the high-mass selection in the QCD multijet 3T control region (upper left), the $ \mathrm{t} \overline{\mathrm{t}} $ 2T1L control region (upper right), and the 3M signal region (lower) for the 2018 data. The histograms are the corresponding reweighted 2M1L distributions. The background distribution is normalized to the number of entries in the data. The shaded area corresponds to the statistical uncertainties in the 2M1L control regions. A potential 900 GeV T signal (red cross-hatched histogram) is added to the background histogram demonstrating a negligible contribution. Similar results are observed in the tZ channel, and for the other years, but with slightly larger statistical uncertainties.

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Figure 5:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The fit is performed on the combined data from all three years in the all-tH channel.

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Figure 5-a:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The fit is performed on the combined data from all three years in the all-tH channel.

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Figure 5-b:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The fit is performed on the combined data from all three years in the all-tH channel.

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Figure 5-c:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The fit is performed on the combined data from all three years in the all-tH channel.

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Figure 5-d:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The fit is performed on the combined data from all three years in the all-tH channel.

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Figure 5-e:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The fit is performed on the combined data from all three years in the all-tH channel.

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Figure 5-f:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The fit is performed on the combined data from all three years in the all-tH channel.

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Figure 6:
Observed $ p $-values when considering the tH channel for each year and their combination.

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Figure 7:
The observed and expected 95% CL limits on the cross section for associated production with a b quark for final states $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $ (upper left), $ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (upper right), their sum $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (lower left), and $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ including the leakage of tH events into the tZ channel (lower right) for different assumed values of the T quark mass. The vertical dashed line represents the crossover point in sensitivity: for masses to the left, the low-mass selection is used to set limits, while for masses to the right, the high-mass selection is used to set limits. The red lines indicate the theoretical cross section for the singlet model [9].

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Figure 7-a:
The observed and expected 95% CL limits on the cross section for associated production with a b quark for final states $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $ (upper left), $ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (upper right), their sum $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (lower left), and $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ including the leakage of tH events into the tZ channel (lower right) for different assumed values of the T quark mass. The vertical dashed line represents the crossover point in sensitivity: for masses to the left, the low-mass selection is used to set limits, while for masses to the right, the high-mass selection is used to set limits. The red lines indicate the theoretical cross section for the singlet model [9].

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Figure 7-b:
The observed and expected 95% CL limits on the cross section for associated production with a b quark for final states $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $ (upper left), $ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (upper right), their sum $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (lower left), and $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ including the leakage of tH events into the tZ channel (lower right) for different assumed values of the T quark mass. The vertical dashed line represents the crossover point in sensitivity: for masses to the left, the low-mass selection is used to set limits, while for masses to the right, the high-mass selection is used to set limits. The red lines indicate the theoretical cross section for the singlet model [9].

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Figure 7-c:
The observed and expected 95% CL limits on the cross section for associated production with a b quark for final states $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $ (upper left), $ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (upper right), their sum $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (lower left), and $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ including the leakage of tH events into the tZ channel (lower right) for different assumed values of the T quark mass. The vertical dashed line represents the crossover point in sensitivity: for masses to the left, the low-mass selection is used to set limits, while for masses to the right, the high-mass selection is used to set limits. The red lines indicate the theoretical cross section for the singlet model [9].

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Figure 7-d:
The observed and expected 95% CL limits on the cross section for associated production with a b quark for final states $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $ (upper left), $ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (upper right), their sum $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (lower left), and $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ including the leakage of tH events into the tZ channel (lower right) for different assumed values of the T quark mass. The vertical dashed line represents the crossover point in sensitivity: for masses to the left, the low-mass selection is used to set limits, while for masses to the right, the high-mass selection is used to set limits. The red lines indicate the theoretical cross section for the singlet model [9].
Tables

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Table 1:
Mean and standard deviation values from a Gaussian fit of the H/Z/W boson and top quark mass distributions in the 700 GeV T quark sample, requiring the jet kinematic criteria described above and matching to generated particles. All quantities are in units of GeVns. The year-to-year variations are within the jet energy scale uncertainties.

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Table 2:
Definitions of the signal and control regions for the high-mass selection. If the same selection is applied in all SRs and CRs, this is indicated by the $ \div $ symbol in the latter. If no selection is applied, this is indicated by the $ - $ symbol. The ``3T'', ``3M'', and ``2T1L/2M1L'' represent region with three tight, three medium, and two tight/medium plus one loose b tagging requirements on the jets, respectively.

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Table 3:
Cumulative efficiencies of the high-mass selection criteria for signal and various simulated backgrounds in 2016 data. The first and last lines indicate the expected number of events normalized to an integrated luminosity of 35.9 fb$ ^{-1} $. Only statistical uncertainties are reported. The ``Other backgrounds'' column includes W/Z+jets, single t, $ {\mathrm{t}\overline{\mathrm{t}}} \mathrm{H} $, and $ {\mathrm{t}\overline{\mathrm{t}}} \mathrm{Z} $ background processes. The $ {\mathrm{t}\overline{\mathrm{t}}} \mathrm{H} $ and $ {\mathrm{t}\overline{\mathrm{t}}} \mathrm{Z} $ processes do not form a resonance and have production rates roughly the same as the signal rate.
Summary
A search for a vector-like top quark T in the single production mode was performed using proton-proton collision events at $ \sqrt{s} = $ 13 TeV collected by the CMS experiment in 2016-2018. In this search, the T quark is assumed to couple only to standard model third-generation quarks. We consider signatures containing a top quark and a Higgs (tH) or Z (tZ) boson decaying to a bottom quark-antiquark pair. The major background processes are top quark-antiquark pair and multijet production. The feature in the tH final state found in the previous search [23] is not confirmed with a larger dataset and improved event selection. No evidence for the T quark production in the $ \mathrm{p}\mathrm{p}\to\tprime\mathrm{b}\mathrm{q} $ process is seen and 95% confidence level upper limits are set on the product of the production cross section and branching fraction to tH and tZ that range from 1260 to 68 fb for T quark masses of 600-1200 GeV. The limits are stronger than those in the previous search by at least a factor of three.
Additional Figures

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Additional Figure 1:
Weights from b tagging efficiency ratios (open markers) as a function of the five-jet invariant mass in 2016 (upper) and 2017 (lower) data for the low-mass selection. The left graph shows weights connecting the 2M1L and 3M regions, and the right graph shows weights connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the low-mass analysis only signals with mass below 800 GeV are tested, so primarily the lower part of the distribution contributes to the final result. In the tZ channel, similar functions are derived.

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Additional Figure 1-a:
Weights from b tagging efficiency ratios (open markers) as a function of the five-jet invariant mass in 2016 (upper) and 2017 (lower) data for the low-mass selection. The left graph shows weights connecting the 2M1L and 3M regions, and the right graph shows weights connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the low-mass analysis only signals with mass below 800 GeV are tested, so primarily the lower part of the distribution contributes to the final result. In the tZ channel, similar functions are derived.

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Additional Figure 1-b:
Weights from b tagging efficiency ratios (open markers) as a function of the five-jet invariant mass in 2016 (upper) and 2017 (lower) data for the low-mass selection. The left graph shows weights connecting the 2M1L and 3M regions, and the right graph shows weights connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the low-mass analysis only signals with mass below 800 GeV are tested, so primarily the lower part of the distribution contributes to the final result. In the tZ channel, similar functions are derived.

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Additional Figure 1-c:
Weights from b tagging efficiency ratios (open markers) as a function of the five-jet invariant mass in 2016 (upper) and 2017 (lower) data for the low-mass selection. The left graph shows weights connecting the 2M1L and 3M regions, and the right graph shows weights connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the low-mass analysis only signals with mass below 800 GeV are tested, so primarily the lower part of the distribution contributes to the final result. In the tZ channel, similar functions are derived.

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Additional Figure 1-d:
Weights from b tagging efficiency ratios (open markers) as a function of the five-jet invariant mass in 2016 (upper) and 2017 (lower) data for the low-mass selection. The left graph shows weights connecting the 2M1L and 3M regions, and the right graph shows weights connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the low-mass analysis only signals with mass below 800 GeV are tested, so primarily the lower part of the distribution contributes to the final result. In the tZ channel, similar functions are derived.

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Additional Figure 2:
Weights from b tagging efficiency ratios (open markers) as a function of the five-jet invariant mass in 2016 (upper) and 2017 (lower) data for the high-mass selection. The left graph shows weights connecting the 2M1L and 3M regions, and the right graph shows weights connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the high-mass analysis only signals with mass below (above) 800 GeV are tested, so primarily the upper part of the distribution contributes to the final result. In the tZ channel, similar functions are derived.

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Additional Figure 2-a:
Weights from b tagging efficiency ratios (open markers) as a function of the five-jet invariant mass in 2016 (upper) and 2017 (lower) data for the high-mass selection. The left graph shows weights connecting the 2M1L and 3M regions, and the right graph shows weights connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the high-mass analysis only signals with mass below (above) 800 GeV are tested, so primarily the upper part of the distribution contributes to the final result. In the tZ channel, similar functions are derived.

png pdf
Additional Figure 2-b:
Weights from b tagging efficiency ratios (open markers) as a function of the five-jet invariant mass in 2016 (upper) and 2017 (lower) data for the high-mass selection. The left graph shows weights connecting the 2M1L and 3M regions, and the right graph shows weights connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the high-mass analysis only signals with mass below (above) 800 GeV are tested, so primarily the upper part of the distribution contributes to the final result. In the tZ channel, similar functions are derived.

png pdf
Additional Figure 2-c:
Weights from b tagging efficiency ratios (open markers) as a function of the five-jet invariant mass in 2016 (upper) and 2017 (lower) data for the high-mass selection. The left graph shows weights connecting the 2M1L and 3M regions, and the right graph shows weights connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the high-mass analysis only signals with mass below (above) 800 GeV are tested, so primarily the upper part of the distribution contributes to the final result. In the tZ channel, similar functions are derived.

png pdf
Additional Figure 2-d:
Weights from b tagging efficiency ratios (open markers) as a function of the five-jet invariant mass in 2016 (upper) and 2017 (lower) data for the high-mass selection. The left graph shows weights connecting the 2M1L and 3M regions, and the right graph shows weights connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the high-mass analysis only signals with mass below (above) 800 GeV are tested, so primarily the upper part of the distribution contributes to the final result. In the tZ channel, similar functions are derived.

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Additional Figure 3:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T. The tZ channel is shown when the fit is performed on the combined data from all three years in the tZ and tH channels.

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Additional Figure 3-a:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T. The tZ channel is shown when the fit is performed on the combined data from all three years in the tZ and tH channels.

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Additional Figure 3-b:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T. The tZ channel is shown when the fit is performed on the combined data from all three years in the tZ and tH channels.

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Additional Figure 3-c:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T. The tZ channel is shown when the fit is performed on the combined data from all three years in the tZ and tH channels.

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Additional Figure 3-d:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T. The tZ channel is shown when the fit is performed on the combined data from all three years in the tZ and tH channels.

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Additional Figure 3-e:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T. The tZ channel is shown when the fit is performed on the combined data from all three years in the tZ and tH channels.

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Additional Figure 3-f:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T. The tZ channel is shown when the fit is performed on the combined data from all three years in the tZ and tH channels.

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Additional Figure 4:
The observed and expected 95% CL limits on the cross section for associated production with a b quark for final states $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $ (upper left), $ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (upper right), their sum $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (lower left), and $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ including the leakage of tH events into the tZ channel (bottom right) for different assumed values of the T mass in logarithmic scale. The vertical dashed line represents the crossover point in sensitivity: for masses to the left, the low-mass selection is used to set limits, while for masses to the right, the high-mass selection is used to set limits. The red lines indicate the theoretical cross section for the singlet model.

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Additional Figure 4-a:
The observed and expected 95% CL limits on the cross section for associated production with a b quark for final states $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $ (upper left), $ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (upper right), their sum $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (lower left), and $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ including the leakage of tH events into the tZ channel (bottom right) for different assumed values of the T mass in logarithmic scale. The vertical dashed line represents the crossover point in sensitivity: for masses to the left, the low-mass selection is used to set limits, while for masses to the right, the high-mass selection is used to set limits. The red lines indicate the theoretical cross section for the singlet model.

png pdf
Additional Figure 4-b:
The observed and expected 95% CL limits on the cross section for associated production with a b quark for final states $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $ (upper left), $ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (upper right), their sum $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (lower left), and $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ including the leakage of tH events into the tZ channel (bottom right) for different assumed values of the T mass in logarithmic scale. The vertical dashed line represents the crossover point in sensitivity: for masses to the left, the low-mass selection is used to set limits, while for masses to the right, the high-mass selection is used to set limits. The red lines indicate the theoretical cross section for the singlet model.

png pdf
Additional Figure 4-c:
The observed and expected 95% CL limits on the cross section for associated production with a b quark for final states $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $ (upper left), $ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (upper right), their sum $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (lower left), and $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ including the leakage of tH events into the tZ channel (bottom right) for different assumed values of the T mass in logarithmic scale. The vertical dashed line represents the crossover point in sensitivity: for masses to the left, the low-mass selection is used to set limits, while for masses to the right, the high-mass selection is used to set limits. The red lines indicate the theoretical cross section for the singlet model.

png pdf
Additional Figure 4-d:
The observed and expected 95% CL limits on the cross section for associated production with a b quark for final states $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $ (upper left), $ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (upper right), their sum $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ (lower left), and $ \mathrm{t}\mathrm{H}\mathrm{b}\mathrm{q} $+$ \mathrm{t}\mathrm{Z}\mathrm{b}\mathrm{q} $ including the leakage of tH events into the tZ channel (bottom right) for different assumed values of the T mass in logarithmic scale. The vertical dashed line represents the crossover point in sensitivity: for masses to the left, the low-mass selection is used to set limits, while for masses to the right, the high-mass selection is used to set limits. The red lines indicate the theoretical cross section for the singlet model.

png pdf
Additional Figure 5:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The fit is performed on the combined data from all three years in the all-tH channel.

png pdf
Additional Figure 5-a:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The fit is performed on the combined data from all three years in the all-tH channel.

png pdf
Additional Figure 5-b:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The fit is performed on the combined data from all three years in the all-tH channel.

png pdf
Additional Figure 5-c:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The fit is performed on the combined data from all three years in the all-tH channel.

png pdf
Additional Figure 5-d:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The fit is performed on the combined data from all three years in the all-tH channel.

png pdf
Additional Figure 5-e:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The fit is performed on the combined data from all three years in the all-tH channel.

png pdf
Additional Figure 5-f:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The fit is performed on the combined data from all three years in the all-tH channel.

png pdf
Additional Figure 6:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The tZ channel is shown when the fit is performed on the combined data from all three years in the tZ and tH channels.

png pdf
Additional Figure 6-a:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The tZ channel is shown when the fit is performed on the combined data from all three years in the tZ and tH channels.

png pdf
Additional Figure 6-b:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The tZ channel is shown when the fit is performed on the combined data from all three years in the tZ and tH channels.

png pdf
Additional Figure 6-c:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The tZ channel is shown when the fit is performed on the combined data from all three years in the tZ and tH channels.

png pdf
Additional Figure 6-d:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The tZ channel is shown when the fit is performed on the combined data from all three years in the tZ and tH channels.

png pdf
Additional Figure 6-e:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The tZ channel is shown when the fit is performed on the combined data from all three years in the tZ and tH channels.

png pdf
Additional Figure 6-f:
Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L (upper), 3M (middle), and 3T (lower) regions for low-mass (left) and the high-mass (right) selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV (low-mass selection) and a 900 GeV (high-mass selection) T quark. The tZ channel is shown when the fit is performed on the combined data from all three years in the tZ and tH channels.
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