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CMS-B2G-17-017 ; CERN-EP-2018-254
Search for resonant $\mathrm{t\bar{t}}$ production in proton-proton collisions at $\sqrt{s} = $ 13 TeV
JHEP 04 (2019) 031
Abstract: A search for a heavy resonance decaying into a top quark and antiquark ($\mathrm{t\bar{t}}$) pair is performed using proton-proton collisions at $\sqrt{s} = $ 13 TeV. The search uses the data set collected with the CMS detector in 2016, which corresponds to an integrated luminosity of 35.9 fb$^{-1}$. The analysis considers three exclusive final states and uses reconstruction techniques that are optimized for top quarks with high Lorentz boosts, which requires the use of nonisolated leptons and jet substructure techniques. No significant excess of events relative to the expected yield from standard model processes is observed. Upper limits on the production cross section of heavy resonances decaying to a $\mathrm{t\bar{t}}$ pair are calculated. Limits are derived for a leptophobic topcolor Z' resonance with widths of 1, 10, and 30%, relative to the mass of the resonance, and exclude masses up to 3.80, 5.25, and 6.65 TeV, respectively. Kaluza-Klein excitations of the gluon in the Randall-Sundrum model are excluded up to 4.55 TeV. To date, these are the most stringent limits on $\mathrm{t\bar{t}}$ resonances.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
The $ {{\mathrm {t}\overline {\mathrm {t}}}} $ invariant mass distributions for four signal models with resonance masses of 3 TeV (left) and 5 TeV (right).

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Figure 1-a:
The $ {{\mathrm {t}\overline {\mathrm {t}}}} $ invariant mass distributions for four signal models with resonance masses of 3 TeV.

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Figure 1-b:
The $ {{\mathrm {t}\overline {\mathrm {t}}}} $ invariant mass distributions for four signal models with resonance masses of 5 TeV.

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Figure 2:
Distributions of $\Delta R_{\text {sum}}$ in $\mu \mu $ (upper left), $ \mathrm{ee} $ (upper right), and $ {\mathrm {e}}\mu $ (lower) events. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 25 pb. The hatched band on the simulated distribution represents the statistical and systematic uncertainties. The lower panels in each plot show the ratio of data to the SM background prediction and the light (dark) gray band represents statistical (systematic) uncertainty. The error bars on the data points indicate the Poisson statistical uncertainties.

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Figure 2-a:
Distribution of $\Delta R_{\text {sum}}$ in $\mu \mu $ events. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 25 pb. The hatched band on the simulated distribution represents the statistical and systematic uncertainties. The lower panel shows the ratio of data to the SM background prediction and the light (dark) gray band represents statistical (systematic) uncertainty. The error bars on the data points indicate the Poisson statistical uncertainties.

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Figure 2-b:
Distribution of $\Delta R_{\text {sum}}$ in $ \mathrm{ee} $ events. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 25 pb. The hatched band on the simulated distribution represents the statistical and systematic uncertainties. The lower panel shows the ratio of data to the SM background prediction and the light (dark) gray band represents statistical (systematic) uncertainty. The error bars on the data points indicate the Poisson statistical uncertainties.

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Figure 2-c:
Distribution of $\Delta R_{\text {sum}}$ in $ {\mathrm {e}}\mu $ events. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 25 pb. The hatched band on the simulated distribution represents the statistical and systematic uncertainties. The lower panel shows the ratio of data to the SM background prediction and the light (dark) gray band represents statistical (systematic) uncertainty. The error bars on the data points indicate the Poisson statistical uncertainties.

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Figure 3:
W+jets BDT distributions in the muon (left) and electron (right) single-lepton channel. The SR is defined as events with W+jets BDT $\ge$ 0.5. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 10 pb. The hatched band on the simulation represents the statistical and systematic uncertainties. The lower panels in each plot show the ratio of data to the SM background prediction and the light (dark) gray band represents statistical (systematic) uncertainty. The error bars on the data points indicate Poisson statistical uncertainty.

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Figure 3-a:
W+jets BDT distribution in the muon single-lepton channel. The SR is defined as events with W+jets BDT $\ge$ 0.5. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 10 pb. The hatched band on the simulation represents the statistical and systematic uncertainties. The lower panel shows the ratio of data to the SM background prediction and the light (dark) gray band represents statistical (systematic) uncertainty. The error bars on the data points indicate Poisson statistical uncertainty.

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Figure 3-b:
W+jets BDT distribution in the electron single-lepton channel. The SR is defined as events with W+jets BDT $\ge$ 0.5. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 10 pb. The hatched band on the simulation represents the statistical and systematic uncertainties. The lower panel shows the ratio of data to the SM background prediction and the light (dark) gray band represents statistical (systematic) uncertainty. The error bars on the data points indicate Poisson statistical uncertainty.

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Figure 4:
Dijet rapidity difference $(\Delta y)$ for events passing the fully hadronic event selection for all $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ (left) and for events with an $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} > $ 2 TeV (right). The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 10 pb. The hatched band around the simulated distribution represents the statistical and systematic uncertainties. The lower panels in each plot show the ratio of data to the SM background prediction and the light (dark) gray band represents statistical (systematic) uncertainty.

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Figure 4-a:
Dijet rapidity difference $(\Delta y)$ for events passing the fully hadronic event selection for all $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 10 pb. The hatched band around the simulated distribution represents the statistical and systematic uncertainties. The lower panel shows the ratio of data to the SM background prediction and the light (dark) gray band represents statistical (systematic) uncertainty.

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Figure 4-b:
Dijet rapidity difference $(\Delta y)$ for events with an $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} > $ 2 TeV. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 10 pb. The hatched band around the simulated distribution represents the statistical and systematic uncertainties. The lower panel shows the ratio of data to the SM background prediction and the light (dark) gray band represents statistical (systematic) uncertainty.

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Figure 5:
Distributions of $ {S_{\text {T}}} $ in the background-enriched CR for $\mu \mu $ (upper left), $ \mathrm{ee} $ (upper right), and $ {\mathrm {e}}\mu $ (lower) subchannels. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) standard deviations (s.d.) from the predicted value.

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Figure 5-a:
Distribution of $ {S_{\text {T}}} $ in the background-enriched CR for the $\mu \mu $ subchannel. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) standard deviations (s.d.) from the predicted value.

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Figure 5-b:
Distribution of $ {S_{\text {T}}} $ in the background-enriched CR for the $ \mathrm{ee} $ subchannel. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) standard deviations (s.d.) from the predicted value.

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Figure 5-c:
Distribution of $ {S_{\text {T}}} $ in the background-enriched CR for the $ {\mathrm {e}}\mu $ subchannel. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) standard deviations (s.d.) from the predicted value.

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Figure 6:
Distributions of $ {p_{\mathrm {T}}} $ (upper) and $ {m_{\text {SD}}} $ (lower) for the W+jets background in the muon (left) and electron (right) channels using the W+jets mistag CR. The jet $ {p_{\mathrm {T}}} $ information is taken from the CHS jets, while the $ {m_{\text {SD}}} $ is take from the PUPPI jets. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panels in each plot show the ratio of data to the SM background prediction and the light (dark) gray band represents statistical (systematic) uncertainty.

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Figure 6-a:
Distribution of $ {p_{\mathrm {T}}} $ for the W+jets background in the muon channel using the W+jets mistag CR. The jet $ {p_{\mathrm {T}}} $ information is taken from the CHS jets, while the $ {m_{\text {SD}}} $ is take from the PUPPI jets. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the ratio of data to the SM background prediction and the light (dark) gray band represents statistical (systematic) uncertainty.

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Figure 6-b:
Distribution of $ {p_{\mathrm {T}}} $ for the W+jets background in the electron channel using the W+jets mistag CR. The jet $ {p_{\mathrm {T}}} $ information is taken from the CHS jets, while the $ {m_{\text {SD}}} $ is take from the PUPPI jets. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the ratio of data to the SM background prediction and the light (dark) gray band represents statistical (systematic) uncertainty.

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Figure 6-c:
Distribution of $ {m_{\text {SD}}} $ for the W+jets background in the muon channel using the W+jets mistag CR. The jet $ {p_{\mathrm {T}}} $ information is taken from the CHS jets, while the $ {m_{\text {SD}}} $ is take from the PUPPI jets. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the ratio of data to the SM background prediction and the light (dark) gray band represents statistical (systematic) uncertainty.

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Figure 6-d:
Distribution of $ {m_{\text {SD}}} $ for the W+jets background in the electron channel using the W+jets mistag CR. The jet $ {p_{\mathrm {T}}} $ information is taken from the CHS jets, while the $ {m_{\text {SD}}} $ is take from the PUPPI jets. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the ratio of data to the SM background prediction and the light (dark) gray band represents statistical (systematic) uncertainty.

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Figure 7:
The t-mistag rate as measured with an anti-tag and probe procedure separately for each b-tag category.

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Figure 8:
Distributions of $ {S_{\text {T}}} $ for the $\mu \mu $ (upper), $ \mathrm{ee} $ (middle), and $ {\mathrm {e}}\mu $ (lower) SRs in the boosted (left) and non-boosted (right) regions, as defined in Section 6.1. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel in each plot shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 8-a:
Distribution of $ {S_{\text {T}}} $ for the $\mu \mu $ SR in the boosted region, as defined in Section 6.1. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 8-b:
Distribution of $ {S_{\text {T}}} $ for the $\mu \mu $ SR in the non-boosted region, as defined in Section 6.1. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 8-c:
Distribution of $ {S_{\text {T}}} $ for the $ \mathrm{ee} $ SR in the boosted region, as defined in Section 6.1. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 8-d:
Distribution of $ {S_{\text {T}}} $ for the $ \mathrm{ee} $ SR in the non-boosted region, as defined in Section 6.1. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 8-e:
Distribution of $ {S_{\text {T}}} $ for the $ {\mathrm {e}}\mu $ SR in the boosted region, as defined in Section 6.1. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 8-f:
Distribution of $ {S_{\text {T}}} $ for the $ {\mathrm {e}}\mu $ SR in the non-boosted region, as defined in Section 6.1. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 9:
Distributions of $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ for the single-lepton channel SRs for the muon (left) and electron (right) categories with (upper) and without (lower) t-tagging. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel in each plot shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 9-a:
Distribution of $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ for the single-lepton channel SR for the muon category with t-tagging. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 9-b:
Distribution of $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ for the single-lepton channel SR for the electron category with t-tagging. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 9-c:
Distribution of $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ for the single-lepton channel SR for the muon category without t-tagging. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 9-d:
Distribution of $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ for the single-lepton channel SR for the electron category without t-tagging. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 10:
Distributions of $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ for the single-lepton channel CR1 (upper) and CR2 (lower) for the muon (left) and electron (right) categories. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel in each plot shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 10-a:
Distribution of $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ for the single-lepton channel CR1 for the muon category. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel in each plot shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 10-b:
Distribution of $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ for the single-lepton channel CR1 for the electron category. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel in each plot shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 10-c:
Distribution of $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ for the single-lepton channel CR2 for the muon category. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel in each plot shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 10-d:
Distribution of $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ for the single-lepton channel CR2 for the electron category. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel in each plot shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 11:
Distributions of $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ for the fully hadronic channel SR categories, used to extract the final results. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel in each plot shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 11-a:
Distribution of $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ for the fully hadronic channel SR category with $| \Delta y | < $ 1.0 and 0 b-tag. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 11-b:
Distribution of $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ for the fully hadronic channel SR category with $| \Delta y | > $ 1.0 and 0 b-tag. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 11-c:
Distribution of $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ for the fully hadronic channel SR category with $| \Delta y | < $ 1.0 and 1 b-tag. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 11-d:
Distribution of $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ for the fully hadronic channel SR category with $| \Delta y | > $ 1.0 and 1 b-tag. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 11-e:
Distribution of $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ for the fully hadronic channel SR category with $| \Delta y | < $ 1.0 and 2 b-tags. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 11-f:
Distribution of $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ for the fully hadronic channel SR category with $| \Delta y | > $ 1.0 and 2 b-tags. The contribution expected from a 4 TeV Z' boson, with a relative width of 1%, is shown normalized to a cross section of 1 pb. The hatched band on the simulation represents the uncertainty in the background prediction. The lower panel shows the pull of each histogram bin from the SM prediction. The light (dark) gray band represents a pull of one (two) s.d. from the predicted value.

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Figure 12:
Comparison of the sensitivities for each analysis channel contributing to the combination. The expected limits at 95% CL are shown for each channel with the narrow colored lines, while the combination result is shown with thick the black line. These results are shown specifically for the ${{\mathrm {g}} _{\text {KK}}}$ signal hypothesis, as this model has characteristics that are common to many $ {{\mathrm {t}\overline {\mathrm {t}}}} $ resonance searches. The multiplicative factor of 1.3 for the ${{\mathrm {g}} _{\text {KK}}}$ is the NLO $K$ factor.

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Figure 13:
Observed and expected limits at 95% CL for each of the four signal hypotheses considered in this analysis.

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Figure 13-a:
Observed and expected limits at 95% CL for the ${{\mathrm {g}} _{\text {KK}}}$ hypothesis.

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Figure 13-b:
Observed and expected limits at 95% CL for the wide ($\Gamma /m = $ 10%) Z' boson resonance hypothesis.

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Figure 13-c:
Observed and expected limits at 95% CL for the extra-wide ($\Gamma /m = $ 30%) Z' boson resonance hypothesis.

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Figure 13-d:
Observed and expected limits at 95% CL for each of the four signal hypotheses considered in this analysis.
Tables

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Table 1:
Sources of systematic uncertainty that affect the $ {m_{{{\mathrm {t}\overline {\mathrm {t}}}}}} $ and $ {S_{\text {T}}} $ distributions in each analysis channel. For uncertainty sources that apply to multiple channels, the corresponding nuisance parameter is fully correlated across these channels if the symbol v appears in the same row. For normalization uncertainties, the size of the effect on the prior distribution is indicated. Shape uncertainties have priors of $ \pm $1 s.d., and the dependence on the kinematic quantities is shown.

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Table 2:
Limits at 95% CL on the product of the resonance production cross section and branching fraction for the narrow ($\Gamma /m = $ 1%) Z' boson resonance hypothesis.

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Table 3:
Limits at 95% CL on the product of the resonance production cross section and branching fraction for the wide ($\Gamma /m = $ 10%) Z' boson resonance hypothesis.

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Table 4:
Limits at 95% CL on the product of the resonance production cross section and branching fraction for the extra-wide ($\Gamma /m = $ 30%) Z' boson resonance hypothesis.

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Table 5:
Limits at 95% CL on the product of the resonance production cross section and branching fraction for the ${{\mathrm {g}} _{\text {KK}}}$ gluon resonance hypothesis.
Summary
A search for a generic massive top quark and antiquark ($\mathrm{t\bar{t}}$) resonance has been presented. The analysis was performed using data collected by the CMS experiment in 2016 at the LHC at $\sqrt{s} = $ 13 TeV, corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The analysis is focused on searching for a $\mathrm{t\bar{t}}$ resonance above 2 TeV, where the decay products of the top quark become collimated because of its large Lorentz boost. The analysis performed a simultaneous measurement of the backgrounds and the t-tagging efficiency from data. The data are consistent with the background-only hypothesis, and no evidence for a massive $\mathrm{t\bar{t}}$ resonance has been found. Limits at 95% confidence level are calculated for the production cross section for a spin-1 resonance decaying to $\mathrm{t\bar{t}}$ pairs with a variety of decay widths.

Limits were calculated for two benchmark signal processes that decay to $\mathrm{t\bar{t}}$ pairs. A topcolor Z' boson with relative widths of 1, 10, or 30% is excluded in the mass ranges 0.50-3.80, 0.50-5.25, and 0.50-6.65 TeV, respectively. The first Kaluza-Klein excitation of the gluon in the Randall-Sundrum scenario (${\mathrm{g}_{\text{KK}}} $) is excluded in the range 0.50-4.55 TeV. This is the first search by any experiment at $\sqrt{s} = $ 13 TeV for $\mathrm{t\bar{t}}$ resonances that combines all three decay topologies of the $\mathrm{t\bar{t}}$ system: dilepton, single-lepton, and fully hadronic.

The sensitivity of the analysis exceeds previous searches at $\sqrt{s} = $ 8 and 13 TeV, particularly at high $\mathrm{t\bar{t}}$ invariant mass. Previous measurements have excluded a topcolor Z' up to 3.0, 3.9, and 4.0 TeV, for relative widths of 1, 10, and 30%, and ${\mathrm{g}_{\text{KK}}}$ from 3.3 to 3.8 TeV, depending on model [32,31]. The presented analysis improves upon those limits, extending the Z' exclusions to 3.80, 5.25, and 6.65 TeV and the ${\mathrm{g}_{\text{KK}}}$ exclusion to 4.55 TeV. These are the most stringent limits on the topcolor Z' and ${\mathrm{g}_{\text{KK}}}$ models to date.
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