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CMS-B2G-21-007 ; CERN-EP-2022-253
Search for a vector-like quark T' $ \to$ tH via the diphoton decay mode of the Higgs boson in proton-proton collisions at $ \sqrt{s}= $ 13 TeV
JHEP 09 (2023) 057
Abstract: A search for the electroweak production of a vector-like quark T' decaying to a top quark and a Higgs boson is presented. The search is based on a sample of proton-proton collision events recorded at the LHC at $ \sqrt{s}= $ 13 TeV, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. This is the first T' search that exploits the Higgs boson decay to a pair of photons. For narrow isospin singlet T' states with masses up to 1.1 TeV, the excellent diphoton invariant mass resolution of 1-2% results in an increased sensitivity compared to previous searches based on the same production mechanism. The electroweak production of a T' quark with mass up to 960 GeV is excluded at 95% confidence level, assuming a coupling strength $ \kappa_{\mathrm{T}} = $ 0.25 and a relative decay width $ \Gamma/M_{\mathrm{T}'} < $ 5%.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Leading-order Feynman diagram for single T' production in Wb fusion and its subsequent decay into tH ($ \mathrm{H} \to \gamma\gamma $)

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Figure 2:
The BDT output distributions for data, backgrounds and signal events in the leptonic and the hadronic categories: leptonic BDT trained against the SM Higgs boson backgrounds (upper left), hadronic BDT trained against the SM Higgs boson backgrounds (upper right), and hadronic BDT trained against the nonresonant backgrounds processes (lower). For the leptonic category, MC-estimated nonresonant backgrounds are normalized to the number of observed data events. For the hadronic category, a data-driven estimation has been adapted for $ \gamma$+jets backgrounds, while all other MC samples are normalized to an integrated luminosity of 138 fb$ ^{-1} $.

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Figure 2-a:
The BDT output distributions for data, backgrounds and signal events in the leptonic and the hadronic categories: leptonic BDT trained against the SM Higgs boson backgrounds (upper left), hadronic BDT trained against the SM Higgs boson backgrounds (upper right), and hadronic BDT trained against the nonresonant backgrounds processes (lower). For the leptonic category, MC-estimated nonresonant backgrounds are normalized to the number of observed data events. For the hadronic category, a data-driven estimation has been adapted for $ \gamma$+jets backgrounds, while all other MC samples are normalized to an integrated luminosity of 138 fb$ ^{-1} $.

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Figure 2-b:
The BDT output distributions for data, backgrounds and signal events in the leptonic and the hadronic categories: leptonic BDT trained against the SM Higgs boson backgrounds (upper left), hadronic BDT trained against the SM Higgs boson backgrounds (upper right), and hadronic BDT trained against the nonresonant backgrounds processes (lower). For the leptonic category, MC-estimated nonresonant backgrounds are normalized to the number of observed data events. For the hadronic category, a data-driven estimation has been adapted for $ \gamma$+jets backgrounds, while all other MC samples are normalized to an integrated luminosity of 138 fb$ ^{-1} $.

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Figure 2-c:
The BDT output distributions for data, backgrounds and signal events in the leptonic and the hadronic categories: leptonic BDT trained against the SM Higgs boson backgrounds (upper left), hadronic BDT trained against the SM Higgs boson backgrounds (upper right), and hadronic BDT trained against the nonresonant backgrounds processes (lower). For the leptonic category, MC-estimated nonresonant backgrounds are normalized to the number of observed data events. For the hadronic category, a data-driven estimation has been adapted for $ \gamma$+jets backgrounds, while all other MC samples are normalized to an integrated luminosity of 138 fb$ ^{-1} $.

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Figure 3:
The combined, leptonic plus hadronic, distributions for data (black dots) and $ m_{\gamma\gamma} $ signal-plus-background model fits (red line) for a VLQ signal with $ M_{\mathrm{T}'} $ of 600 (upper left), 900 (upper right), and 1200 GeV (lower). The green (yellow) band represents the 68% (95%) CL in the background component of the fit. The peak in the background component shows the considered irreducible SM Higgs boson (ggH, VBF, VH, $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{H} $ and tH) contribution. Here, $ \hat{\mu} $ is the best fit value of the signal strength parameter $ \mu $, which is zero for the two $ M_{\mathrm{T}'} $ values considered. The lower panel shows the residuals after the subtraction of the background component.

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Figure 3-a:
The combined, leptonic plus hadronic, distributions for data (black dots) and $ m_{\gamma\gamma} $ signal-plus-background model fits (red line) for a VLQ signal with $ M_{\mathrm{T}'} $ of 600 (upper left), 900 (upper right), and 1200 GeV (lower). The green (yellow) band represents the 68% (95%) CL in the background component of the fit. The peak in the background component shows the considered irreducible SM Higgs boson (ggH, VBF, VH, $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{H} $ and tH) contribution. Here, $ \hat{\mu} $ is the best fit value of the signal strength parameter $ \mu $, which is zero for the two $ M_{\mathrm{T}'} $ values considered. The lower panel shows the residuals after the subtraction of the background component.

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Figure 3-b:
The combined, leptonic plus hadronic, distributions for data (black dots) and $ m_{\gamma\gamma} $ signal-plus-background model fits (red line) for a VLQ signal with $ M_{\mathrm{T}'} $ of 600 (upper left), 900 (upper right), and 1200 GeV (lower). The green (yellow) band represents the 68% (95%) CL in the background component of the fit. The peak in the background component shows the considered irreducible SM Higgs boson (ggH, VBF, VH, $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{H} $ and tH) contribution. Here, $ \hat{\mu} $ is the best fit value of the signal strength parameter $ \mu $, which is zero for the two $ M_{\mathrm{T}'} $ values considered. The lower panel shows the residuals after the subtraction of the background component.

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Figure 3-c:
The combined, leptonic plus hadronic, distributions for data (black dots) and $ m_{\gamma\gamma} $ signal-plus-background model fits (red line) for a VLQ signal with $ M_{\mathrm{T}'} $ of 600 (upper left), 900 (upper right), and 1200 GeV (lower). The green (yellow) band represents the 68% (95%) CL in the background component of the fit. The peak in the background component shows the considered irreducible SM Higgs boson (ggH, VBF, VH, $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{H} $ and tH) contribution. Here, $ \hat{\mu} $ is the best fit value of the signal strength parameter $ \mu $, which is zero for the two $ M_{\mathrm{T}'} $ values considered. The lower panel shows the residuals after the subtraction of the background component.

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Figure 4:
The combined, leptonic plus hadronic, expected (dotted black) and observed (solid black) upper limits at 95% CL on $ \sigma_{\mathrm{T}'\mathrm{b}\mathrm{q}}\mathcal{B_{\mathrm{T}'\to \mathrm{t}\mathrm{H}}} $ are displayed as a function of $ M_{\mathrm{T}'} $. The green (yellow) band represents the 68% (95%) of the limit values expected under the background-only hypothesis. The theoretical cross sections for the singlet T' production with representative $ \kappa_{\mathrm{T}} $-values fixed at 0.1, 0.15, 0.2 and 0.25 (for $ \Gamma/M_{\mathrm{T}'} < $ 5%) are shown as red lines.

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Figure 5:
The combined, leptonic plus hadronic, expected (dotted black) and observed (solid black) upper limits at 95% CL on the T' coupling to third-generation quarks, $ \kappa_{\mathrm{T}} $, under the narrow width approximation displayed as a function of $ M_{\mathrm{T}'} $. The green (yellow) band represents the 68% (95%) of the limit values expected under the background-only hypothesis. The theoretical $ \kappa_{\mathrm{T}} $ values corresponding to the $ \Gamma/M_{\mathrm{T}'} $-values fixed at 1, 2, 3, 4, and 5% are shown as red dashed lines.
Tables

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Table 1:
Signal selection criteria for the three BDTs and $ m_{\mathrm{t}\mathrm{H}} $ windows.

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Table 2:
The expected yields of different processes in each signal window for events with a T' with mass in the range $ M_{\mathrm{T}'}\in $ [600, 1200] GeV, and the observed number of events in the signal region $ m_{\gamma\gamma} \in $ [115, 135]. Here, the yields for the T' are for $ \kappa_{\mathrm{T}} $ fixed at 0.2.
Summary
A search for a vector-like quark decaying to a top quark and a Higgs boson that decays into two photons, T' $ \to$ tH (H $ \to \gamma\gamma $), has been performed using proton-proton collision data at $ \sqrt{s} = $ 13 TeV recorded with the CMS detector in 2016-2018, and corresponding to an integrated luminosity of 138 fb$ ^{-1} $. The search has been carried out based on a model of T' electroweak production in a narrow width approximation with a ratio of T' width relative to its mass ($ \Gamma/M_{\mathrm{T}'} $) $ \approx 1% $. The sensitivity of this analysis extends up to $ \Gamma/M_{\mathrm{T}'}\approx 5% $, which roughly corresponds to the experimental resolution of $ M_{\mathrm{T}'} $. Both the hadronic and leptonic decay modes of the top quark are considered in the search. A novel multivariate analysis incorporating three separately optimized boosted decision trees is exploited to separate likely signal events from background processes, including the standard model production of Higgs bosons. No statistically significant excess over the expected background prediction is observed. Assuming a coupling to third generation quarks of $ \kappa_{\mathrm{T}} = $ 0.25 and a relative decay width of $ \Gamma/M_{\mathrm{T}'} < 5% $, the electroweak production of a singlet T' quark is excluded up to a mass of 960 GeV at 95% confidence level. This search for a vector-like quark, T' is the most sensitive to date for $ M_{\mathrm{T}'} $ up to 1.1 TeV, among searches exploring the same production mechanism.
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