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CMS-PAS-B2G-16-013
Search for heavy resonances decaying to top and vector-like quarks in the all-hadronic channel at $\sqrt{s} = $ 13 TeV
Abstract: Many models predicting a heavy neutral spin-1 resonance also predict the existence of vector-like quarks. Such a hypothetical resonance might then predominantly decay to these heavy quark partners rather than to standard model particles. We present a search for a new heavy spin-1 resonance (Z' boson) decaying to a top quark and a heavy vector-like top partner (T'). The analysis is tailored to the final state where the T' decays to a W boson and a b quark. We focus on all-hadronic final states, where both the associated top quark and the W boson from the T' decay in turn decay hadronically. The decay products of the top quark and the W boson are highly boosted and cannot be reconstructed as separate jets. These decays are instead reconstructed as single wide jets. Jet substructure techniques and b-tagging identification are used to identify these wide jets as top quark and vector boson candidates.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Bin-by-bin ratio of the signal region histogram over the sideband region in simulated events. The histograms are normalized to unity before computing the ratio. The ratio is fitted with a parabola, used as a correction factor to weight the events in the sideband region in data to reproduce the shape of the QCD multijet background in the signal region. The left (right) plot shows the event region where the top-jet has zero (at least one) b-tagged subjet.

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Figure 1-a:
Bin-by-bin ratio of the signal region histogram over the sideband region in simulated events. The histograms are normalized to unity before computing the ratio. The ratio is fitted with a parabola, used as a correction factor to weight the events in the sideband region in data to reproduce the shape of the QCD multijet background in the signal region. The plot shows the event region where the top-jet has zero b-tagged subjet.

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Figure 1-b:
Bin-by-bin ratio of the signal region histogram over the sideband region in simulated events. The histograms are normalized to unity before computing the ratio. The ratio is fitted with a parabola, used as a correction factor to weight the events in the sideband region in data to reproduce the shape of the QCD multijet background in the signal region. The plot shows the event region where the top-jet has at least one b-tagged subjet.

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Figure 2:
Distribution of the invariant mass of the Z' candidate for the signal region with 1 b-tag (top row) and 2 b-tag (bottom row). The yellow distribution is the QCD multijet background estimated with the data-driven procedure, the blue distribution is the SM top background estimated from simulated events, the black dots are the data. The gray bands are the statistical and systematic uncertainties affecting the backgrounds. The colored solid lines represent the distributions for some of the signal hypotheses: red for Z'(1500 GeV) $\rightarrow$ T't, T'(700 GeV) $\rightarrow$ Wb, light blue for Z'(2000 GeV) $\rightarrow$ T't, T'(900 GeV) $\rightarrow$ Wb, and green for Z'(2500 GeV) $\rightarrow$ T't, T'(1200 GeV) $\rightarrow$ Wb. The signal distributions are each normalized to a cross section of 1 pb.

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Figure 2-a:
Distribution of the invariant mass of the Z' candidate for the signal region with 1 b-tag. The yellow distribution is the QCD multijet background estimated with the data-driven procedure, the blue distribution is the SM top background estimated from simulated events, the black dots are the data. The gray bands are the statistical and systematic uncertainties affecting the backgrounds. The colored solid lines represent the distributions for some of the signal hypotheses: red for Z'(1500 GeV) $\rightarrow$ T't, T'(700 GeV) $\rightarrow$ Wb, light blue for Z'(2000 GeV) $\rightarrow$ T't, T'(900 GeV) $\rightarrow$ Wb, and green for Z'(2500 GeV) $\rightarrow$ T't, T'(1200 GeV) $\rightarrow$ Wb. The signal distributions are each normalized to a cross section of 1 pb.

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Figure 2-b:
Distribution of the invariant mass of the Z' candidate for the signal region with 2 b-tag. The yellow distribution is the QCD multijet background estimated with the data-driven procedure, the blue distribution is the SM top background estimated from simulated events, the black dots are the data. The gray bands are the statistical and systematic uncertainties affecting the backgrounds. The colored solid lines represent the distributions for some of the signal hypotheses: red for Z'(1500 GeV) $\rightarrow$ T't, T'(700 GeV) $\rightarrow$ Wb, light blue for Z'(2000 GeV) $\rightarrow$ T't, T'(900 GeV) $\rightarrow$ Wb, and green for Z'(2500 GeV) $\rightarrow$ T't, T'(1200 GeV) $\rightarrow$ Wb. The signal distributions are each normalized to a cross section of 1 pb.

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Figure 3:
T' candidate invariant mass distribution for the 1 b-tag (top left) and 2 b-tag (top right) categories, and distribution of the $H_{\mathrm{T}}$, calculated as the sum of the $p_{\mathrm{T}}$ of the three jets used in the event, again for the 1 b-tag (bottom right) and 2 b-tag (bottom right) categories. The signal distributions are each normalized to a cross section of 1 pb.

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Figure 3-a:
T' candidate invariant mass distribution for the 1 b-tag category. The signal distributions are each normalized to a cross section of 1 pb.

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Figure 3-b:
T' candidate invariant mass distribution for the 2 b-tag category. The signal distributions are each normalized to a cross section of 1 pb.

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Figure 3-c:
Distribution of $H_{\mathrm{T}}$, calculated as the sum of the $p_{\mathrm{T}}$ of the three jets used in the event, for the 1 b-tag category. The signal distributions are each normalized to a cross section of 1 pb.

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Figure 3-d:
Distribution of $H_{\mathrm{T}}$, calculated as the sum of the $p_{\mathrm{T}}$ of the three jets used in the event, for the 2 b-tag category. The signal distributions are each normalized to a cross section of 1 pb.

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Figure 4:
Observed cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for different hypotheses of the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ. First row, from left to right: $m_{\mathrm {Z'}}= $ 1.5 TeV and $m_{\mathrm {T'}}= $ 0.7 TeV, $m_{\mathrm {Z'}}= $ 1.5 TeV and $m_{\mathrm {T'}}= $ 0.9 TeV. Second row, from left to right: $m_{\mathrm {Z'}}=$ 1.5 TeV and $m_{\mathrm {T'}}= $ 1.2 TeV, $m_{\mathrm {Z'}}= $ 2.0 TeV and $m_{\mathrm {T'}}= $ 0.9 TeV. Third row, from left to right: $m_{\mathrm {Z'}}= $ 2.0 TeV and $m_{\mathrm {T'}}= $ 1.2 TeV, $m_{\mathrm {Z'}}= $ 2.0 TeV and $m_{\mathrm {T'}}= $ 1.5 TeV. Fourth row, from left to right: $m_{\mathrm {Z'}}= $ 2.5 TeV and $m_{\mathrm {T'}}= $ 1.2 TeV, $m_{\mathrm {Z'}}= $ 2.5 TeV and $m_{\mathrm {T'}}= $ 1.5 TeV.

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Figure 4-a:
Observed cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for the following hypothesis for the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ: $m_{\mathrm {Z'}}= $ 1.5 TeV and $m_{\mathrm {T'}}= $ 0.7 TeV.

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Figure 4-b:
Observed cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for the following hypothesis for the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ: $m_{\mathrm {Z'}}= $ 1.5 TeV and $m_{\mathrm {T'}}= $ 0.9 TeV.

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Figure 4-c:
Observed cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for the following hypothesis for the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ: $m_{\mathrm {Z'}}=$ 1.5 TeV and $m_{\mathrm {T'}}= $ 1.2 TeV.

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Figure 4-d:
Observed cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for the following hypothesis for the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ: $m_{\mathrm {Z'}}= $ 2.0 TeV and $m_{\mathrm {T'}}= $ 0.9 TeV.

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Figure 4-e:
Observed cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for the following hypothesis for the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ: $m_{\mathrm {Z'}}= $ 2.0 TeV and $m_{\mathrm {T'}}= $ 1.2 TeV.

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Figure 4-f:
Observed cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for the following hypothesis for the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ: $m_{\mathrm {Z'}}= $ 2.0 TeV and $m_{\mathrm {T'}}= $ 1.5 TeV.

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Figure 4-g:
Observed cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for the following hypothesis for the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ: $m_{\mathrm {Z'}}= $ 2.5 TeV and $m_{\mathrm {T'}}= $ 1.2 TeV.

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Figure 4-h:
Observed cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for the following hypothesis for the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ: $m_{\mathrm {Z'}}= $ 2.5 TeV and $m_{\mathrm {T'}}= $ 1.5 TeV.

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Figure 5:
Expected cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for different hypotheses of the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ. First row, from left to right: $m_{\mathrm {Z'}}= $ 1.5 TeV and $m_{\mathrm {T'}}= $ 0.7 TeV, $m_{\mathrm {Z'}}= $ 1.5 TeV and $m_{\mathrm {T'}}= $ 0.9 TeV. Second row, from left to right: $m_{\mathrm {Z'}}= $ 1.5 TeV and $m_{\mathrm {T'}}= $ 1.2 TeV, $m_{\mathrm {Z'}}= $ 2.0 TeV and $m_{\mathrm {T'}}= $ 0.9 TeV. Third row, from left to right: $m_{\mathrm {Z'}}= $ 2.0 TeV and $m_{\mathrm {T'}}= $ 1.2 TeV, $m_{\mathrm {Z'}}= $ 2.0 TeV and $m_{\mathrm {T'}}= $ 1.5 TeV. Fourth row, from left to right: $m_{\mathrm {Z'}}= $ 2.5 TeV and $m_{\mathrm {T'}}= $ 1.2 TeV, $m_{\mathrm {Z'}}= $ 2.5 TeV and $m_{\mathrm {T'}}= $ 1.5 TeV.

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Figure 5-a:
Expected cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for the following hypothesis of the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ: $m_{\mathrm {Z'}}= $ 1.5 TeV and $m_{\mathrm {T'}}= $ 0.7 TeV.

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Figure 5-b:
Expected cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for the following hypothesis of the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ: $m_{\mathrm {Z'}}= $ 1.5 TeV and $m_{\mathrm {T'}}= $ 0.9 TeV.

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Figure 5-c:
Expected cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for the following hypothesis of the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ: $m_{\mathrm {Z'}}= $ 1.5 TeV and $m_{\mathrm {T'}}= $ 1.2 TeV.

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Figure 5-d:
Expected cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for the following hypothesis of the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ: $m_{\mathrm {Z'}}= $ 2.0 TeV and $m_{\mathrm {T'}}= $ 0.9 TeV.

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Figure 5-e:
Expected cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for the following hypothesis of the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ: $m_{\mathrm {Z'}}= $ 2.0 TeV and $m_{\mathrm {T'}}= $ 1.2 TeV.

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Figure 5-f:
Expected cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for the following hypothesis of the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ: $m_{\mathrm {Z'}}= $ 2.0 TeV and $m_{\mathrm {T'}}= $ 1.5 TeV.

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Figure 5-g:
Expected cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for the following hypothesis of the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ: $m_{\mathrm {Z'}}= $ 2.5 TeV and $m_{\mathrm {T'}}= $ 1.2 TeV.

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Figure 5-h:
Expected cross section limits for $\mathrm {Z'}\rightarrow \mathrm {T't}$ for the following hypothesis of the Z' mass, the T' mass, and the branching fraction of the T' in bW, tH, tZ: $m_{\mathrm {Z'}}= $ 2.5 TeV and $m_{\mathrm {T'}}= $ 1.5 TeV.

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Figure 6:
One-dimensional cross section limits for different Z' masses keeping the T' mass fixed to 1.2 TeV for the $\mathrm {BR(bW)}= $ 100% hypothesis (left) and the $\mathrm {BR}= $ 50% bW, 25% tH, 25% tZ hypothesis (right). The continuous line is the observed limit, the dotted line is the expected limit, with 1$\sigma $ (green) and 2$\sigma $ (yellow) bands.

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Figure 6-a:
One-dimensional cross section limits for different Z' masses keeping the T' mass fixed to 1.2 TeV for the BR(bW) 100% hypothesis. The continuous line is the observed limit, the dotted line is the expected limit, with 1$\sigma $ (green) and 2$\sigma $ (yellow) bands.

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Figure 6-b:
One-dimensional cross section limits for different Z' masses keeping the T' mass fixed to 1.2 TeV for the BR = 50% bW, 25% tH, 25% tZ hypothesis. The continuous line is the observed limit, the dotted line is the expected limit, with 1$\sigma $ (green) and 2$\sigma $ (yellow) bands.
Tables

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Table 1:
Summary table of the selection criteria for the event categories in the signal region (SR) and the sideband region (SB).

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Table 2:
Number of events in the different event categories of the analysis. The uncertainty quoted includes both statistical and systematic components.

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Table 3:
Selection efficiencies for the signal in the different categories used in the analysis. The quoted uncertainties are statistical only.

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Table 4:
Sources of systematic uncertainty considered for the analysis, their rate impact, the systematic type and the processes for which they are relevant.

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Table 5:
Expected and observed 95% CL cross section limits, for the $\mathrm {T'}\rightarrow \mathrm {bW}$ signal hypothesis.

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Table 6:
Expected and observed 95% CL cross section limits, for the $\mathrm {T'}\rightarrow \mathrm {tH}$ signal hypothesis.

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Table 7:
Expected and observed 95% CL cross section limits, for the $\mathrm {T'}\rightarrow \mathrm {tZ}$ signal hypothesis.
Summary
We have performed the first search for resonances decaying to a top quark and a T' vector-like quark in the all-hadronic channel using $\sqrt{s} = $ 13 TeV data from the LHC Run 2. The focus of the analysis is on the decay of the T' to a W boson and a b quark. The search uses several jet substructure techniques optimized for analysis of 13 TeV data: top-tagging and W-tagging algorithms, along with subjet b-tagging. The top tagging and W tagging algorithms are based on the N-subjettiness variable and the modified mass-drop algorithm to compute the jet mass. We estimate the non-top multijet background using the shape of a sideband region measured in data adjusted with Monte Carlo-based correction factors. The top background is estimated using a Monte Carlo simulation. We set upper limits on the production cross section of Z' bosons decaying to a top quark and a T' vector-like quark. We observe no excess in data with respect to the standard model prediction. Several hypotheses for the masses of the T' quark and the Z' boson are considered, and a scan over possible branching fractions of the T' quark is performed. Depending on the various hypotheses, a Z' boson decaying to a top and a T' is excluded with upper cross section limits ranging from 0.13 pb to 11 pb.
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