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CMS-PAS-FTR-18-031
Expected sensitivities for $\mathrm{ t \bar{t} } \mathrm{ t \bar{t} }$ production at HL-LHC and HE-LHC
Abstract: The CMS searches for the production of four top quarks ($\mathrm{ t \bar{t} } \mathrm{ t \bar{t} }$) are used to provide projections for the High-Luminosity LHC and High-Energy LHC. Final states with same sign leptons or three or more leptons as well as multiple b-tagged jets are used in these projections. Several different scenarios for the systematic uncertainties are considered. For proton-proton collisions at $\sqrt{s}= $ 14 TeV, the existing analysis strategies are expected to become dominated by systematic uncertainties. Evidence for $\mathrm{ t \bar{t} }\mathrm{ t \bar{t} }$ in a single analysis will become possible with around 300 fb$^{-1}$ of High-Luminosity LHC data at 14 TeV center-of-mass energy. With these datasets the uncertainty on the measured cross section will be of the order of 33 to 43%, depending on the systematic uncertainty. With 3 ab$^{-1}$ of High-Luminosity LHC data, the cross section can be constrained to 9% statistical uncertainty and 18 to 28% total uncertainty. At High-Energy LHC it would be possible to constrain the $\mathrm{ t \bar{t} }\mathrm{ t \bar{t} }$ cross section to within 1 to 2% statistical uncertainty.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Summary of the branching fractions of $ {{\mathrm {t}\overline {\mathrm {t}}}} {{\mathrm {t}\overline {\mathrm {t}}}} $ production.

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Figure 2:
Expected significance of a search for $ {{\mathrm {t}\overline {\mathrm {t}}}} {{\mathrm {t}\overline {\mathrm {t}}}} $ production with CMS at HL-LHC. The expected significance of $ {{\mathrm {t}\overline {\mathrm {t}}}} {{\mathrm {t}\overline {\mathrm {t}}}} $ signal over a background-only hypothesis in standard deviations (s.d.) is given for various HL-LHC systematic uncertainty scenarios.

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Figure 3:
EFT interpretation plots in two dimensions. The shown ellipses are equivalent to the $ {{\mathrm {t}\overline {\mathrm {t}}}} {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section changing by one standard deviation of its statistical uncertainty from the projection. For reference, a curve with 100% expected uncertainty determined at $\sqrt {s}= $ 13 TeV is shown. Only (expected) statistical uncertainties are considered unless explicitly mentioned.

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Figure 3-a:
EFT interpretation plots in two dimensions. The shown ellipses are equivalent to the $ {{\mathrm {t}\overline {\mathrm {t}}}} {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section changing by one standard deviation of its statistical uncertainty from the projection. For reference, a curve with 100% expected uncertainty determined at $\sqrt {s}= $ 13 TeV is shown. Only (expected) statistical uncertainties are considered unless explicitly mentioned.

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Figure 3-b:
EFT interpretation plots in two dimensions. The shown ellipses are equivalent to the $ {{\mathrm {t}\overline {\mathrm {t}}}} {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section changing by one standard deviation of its statistical uncertainty from the projection. For reference, a curve with 100% expected uncertainty determined at $\sqrt {s}= $ 13 TeV is shown. Only (expected) statistical uncertainties are considered unless explicitly mentioned.

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Figure 3-c:
EFT interpretation plots in two dimensions. The shown ellipses are equivalent to the $ {{\mathrm {t}\overline {\mathrm {t}}}} {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section changing by one standard deviation of its statistical uncertainty from the projection. For reference, a curve with 100% expected uncertainty determined at $\sqrt {s}= $ 13 TeV is shown. Only (expected) statistical uncertainties are considered unless explicitly mentioned.

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Figure 3-d:
EFT interpretation plots in two dimensions. The shown ellipses are equivalent to the $ {{\mathrm {t}\overline {\mathrm {t}}}} {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section changing by one standard deviation of its statistical uncertainty from the projection. For reference, a curve with 100% expected uncertainty determined at $\sqrt {s}= $ 13 TeV is shown. Only (expected) statistical uncertainties are considered unless explicitly mentioned.

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Figure 4:
EFT interpretation plots in two dimensions. The shown ellipses are equivalent to the $ {{\mathrm {t}\overline {\mathrm {t}}}} {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section changing by one standard deviation of its statistical uncertainty from the projection. For reference, a curve with 100% expected uncertainty determined for $\sqrt {s}= $ 13 TeV is shown. Only (expected) statistical uncertainties are considered unless explicitly mentioned.

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Figure 4-a:
EFT interpretation plots in two dimensions. The shown ellipses are equivalent to the $ {{\mathrm {t}\overline {\mathrm {t}}}} {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section changing by one standard deviation of its statistical uncertainty from the projection. For reference, a curve with 100% expected uncertainty determined for $\sqrt {s}= $ 13 TeV is shown. Only (expected) statistical uncertainties are considered unless explicitly mentioned.

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Figure 4-b:
EFT interpretation plots in two dimensions. The shown ellipses are equivalent to the $ {{\mathrm {t}\overline {\mathrm {t}}}} {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section changing by one standard deviation of its statistical uncertainty from the projection. For reference, a curve with 100% expected uncertainty determined for $\sqrt {s}= $ 13 TeV is shown. Only (expected) statistical uncertainties are considered unless explicitly mentioned.
Tables

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Table 1:
Definitions and expected yields with total uncertainties of the eight signal regions and the two control regions for $ {{\mathrm {t}\overline {\mathrm {t}}}} {\mathrm {W}}$ (CRW) and $ {{\mathrm {t}\overline {\mathrm {t}}}} {\mathrm {Z}} $ (CRZ), for a dataset of 35.9 fb$^{-1}$ at 13 TeV centre-of-mass. Adapted from Ref. [4].

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Table 2:
Summary of the sources of uncertainty in the Run 2 (dataset collected in 2016) analysis, and their effect on signal and background yields. The first group lists experimental and theoretical uncertainties in simulated signal and background processes. The second group lists normalisation uncertainties of the estimated backgrounds. As reported in Tab. 3 from [4].

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Table 3:
Considered systematic uncertainty scenarios, described in detail in the text. The table reports the scale factor multiplied to the uncertainties taken from the published CMS analysis as reported in Tab. 2.

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Table 4:
The expected significance of $ {{\mathrm {t}\overline {\mathrm {t}}}} {{\mathrm {t}\overline {\mathrm {t}}}} $ signal over a background-only hypothesis in standard deviations (s.d.), is given for various CMS upgrade scenarios for sqrt(s)=14 TeV.

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Table 5:
Expected sensitivity for the production cross section of $ {{\mathrm {t}\overline {\mathrm {t}}}} {{\mathrm {t}\overline {\mathrm {t}}}} $ production, in percent, at 68% confidence level. The fractional uncertainty on the cross section signal strength is given for various LHC upgrade scenarios. Cross sections are corrected for the changes expected by $\sqrt {s}$. For the 15 ab$^{-1}$ 27 TeV scenario, the systematic uncertainty extrapolation is no longer valid, so only the statistical uncertainty is provided.

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Table 6:
One-dimensional one-standard-deviation intervals for 14 and 27 TeV scenarios, for different fractional uncertainties on the measurement of $\sigma _{{{\mathrm {t}\overline {\mathrm {t}}}} {{\mathrm {t}\overline {\mathrm {t}}}}}$. Only total uncertainties are considered, allowing comparison to the uncertainties in Tab. 5.
Summary
The production of four top quarks has large sensitivity to new new physics effects and is interesting as a standard model QCD process. This note describes the reinterpretation of an analysis using 2016 data focusing on four top quark production using the same-sign dilepton and multilepton final states [4]. Multiple evaluation scenarios for the systematic uncertainties are considered. Evidence for $\mathrm{ t \bar{t} } \mathrm{ t \bar{t} }$ production will become possible with around 300 fb$^{-1}$ of HL-LHC data at $\sqrt{s}= $ 14 TeV, at which point the statistical uncertainty on the measured cross section will be of the order of 30% and the measurement will have a total uncertainty of around 33-43%, depending on the systematic uncertainty scenario considered. For larger datasets at HL-LHC, all scenarios considered become dominated by systematic uncertainties. With 3 ab$^{-1}$ the cross section can be constrained to 9% statistical uncertainty, and the total uncertainty of a measurement ranges between 18% and 28% depending on the considered systematic uncertainties. At HE-LHC the $\mathrm{ t \bar{t} } \mathrm{ t \bar{t} }$ cross section is expected to be constrained to within a 1-2% statistical uncertainty.
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