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CMS-PAS-B2G-17-018
Search for a vector-like quark decaying to a top quark and a W boson
Abstract: A search is presented for single production of vector-like quarks (VLQs) in proton-proton collisions at $\sqrt{s} = $ 13 TeV recorded with the CMS experiment at the LHC. The analyzed data sample corresponds to an integrated luminosity of 35.9 fb$^{-1}$. The analysis focuses on the VLQ decay into a top quark and a W boson with one muon or electron in the final state. The mass of the VLQ candidates is reconstructed from identified b quark jets, as well as highly Lorentz boosted hadronic W boson and top quark decays. No significant deviation from the standard model background expectation is observed. Exclusion limits at 95% confidence level are set on the production cross section times branching fraction as a function of the VLQ mass, which range from 0.3 pb for a VLQ mass of 700 GeV down to 0.03 pb for 1800 GeV.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Leading order Feynman diagrams for the production of a single vector-like B or $X_{5/3}$ quark in association with a b (left) or t (right) and a light-flavour quark, and the subsequent decay of the VLQ to tW.

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Figure 1-a:
Leading order Feynman diagrams for the production of a single vector-like B or $X_{5/3}$ quark in association with a b (left) or t (right) and a light-flavour quark, and the subsequent decay of the VLQ to tW.

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Figure 1-b:
Leading order Feynman diagrams for the production of a single vector-like B or $X_{5/3}$ quark in association with a b (left) or t (right) and a light-flavour quark, and the subsequent decay of the VLQ to tW.

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Figure 2:
Distributions of $ {m_{\mathrm {reco}}} $ obtained for the B+b production mode for events with a muon in the final state with a t tag (left) and the $\chi ^2$ reconstruction method (right) for right-handed VLQ couplings. The cross sections for the signals are set to 1 pb.

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Figure 2-a:
Distributions of $ {m_{\mathrm {reco}}} $ obtained for the B+b production mode for events with a muon in the final state with a t tag (left) and the $\chi ^2$ reconstruction method (right) for right-handed VLQ couplings. The cross sections for the signals are set to 1 pb.

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Figure 2-b:
Distributions of $ {m_{\mathrm {reco}}} $ obtained for the B+b production mode for events with a muon in the final state with a t tag (left) and the $\chi ^2$ reconstruction method (right) for right-handed VLQ couplings. The cross sections for the signals are set to 1 pb.

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Figure 3:
Distributions of ${m_{\mathrm {reco}}}$ in data and simulation in the control region for the muon (top) and electron (bottom) channels for events with a t tag (left) and events reconstructed with the $\chi ^2$ method (right). The vertical bars illustrate the statistical uncertainties on the data, while the shaded areas shows the total uncertainties for the background simulation. The lower panels show the ratio of data to the background prediction. The dark and light gray bands in the ratio correspond to the statistical and total uncertainties, respectively.

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Figure 3-a:
Distributions of ${m_{\mathrm {reco}}}$ in data and simulation in the control region for the muon (top) and electron (bottom) channels for events with a t tag (left) and events reconstructed with the $\chi ^2$ method (right). The vertical bars illustrate the statistical uncertainties on the data, while the shaded areas shows the total uncertainties for the background simulation. The lower panels show the ratio of data to the background prediction. The dark and light gray bands in the ratio correspond to the statistical and total uncertainties, respectively.

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Figure 3-b:
Distributions of ${m_{\mathrm {reco}}}$ in data and simulation in the control region for the muon (top) and electron (bottom) channels for events with a t tag (left) and events reconstructed with the $\chi ^2$ method (right). The vertical bars illustrate the statistical uncertainties on the data, while the shaded areas shows the total uncertainties for the background simulation. The lower panels show the ratio of data to the background prediction. The dark and light gray bands in the ratio correspond to the statistical and total uncertainties, respectively.

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Figure 3-c:
Distributions of ${m_{\mathrm {reco}}}$ in data and simulation in the control region for the muon (top) and electron (bottom) channels for events with a t tag (left) and events reconstructed with the $\chi ^2$ method (right). The vertical bars illustrate the statistical uncertainties on the data, while the shaded areas shows the total uncertainties for the background simulation. The lower panels show the ratio of data to the background prediction. The dark and light gray bands in the ratio correspond to the statistical and total uncertainties, respectively.

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Figure 3-d:
Distributions of ${m_{\mathrm {reco}}}$ in data and simulation in the control region for the muon (top) and electron (bottom) channels for events with a t tag (left) and events reconstructed with the $\chi ^2$ method (right). The vertical bars illustrate the statistical uncertainties on the data, while the shaded areas shows the total uncertainties for the background simulation. The lower panels show the ratio of data to the background prediction. The dark and light gray bands in the ratio correspond to the statistical and total uncertainties, respectively.

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Figure 4:
Distributions of ${m_{\mathrm {reco}}}$ in the validation region of the two most sensitive categories in the muon channel (top) and electron channel (bottom). The lower panels show the Data - Background / $\sigma $, where sigma includes the statistical and systematic uncertainty on the background estimate.

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Figure 4-a:
Distributions of ${m_{\mathrm {reco}}}$ in the validation region of the two most sensitive categories in the muon channel (top) and electron channel (bottom). The lower panels show the Data - Background / $\sigma $, where sigma includes the statistical and systematic uncertainty on the background estimate.

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Figure 4-b:
Distributions of ${m_{\mathrm {reco}}}$ in the validation region of the two most sensitive categories in the muon channel (top) and electron channel (bottom). The lower panels show the Data - Background / $\sigma $, where sigma includes the statistical and systematic uncertainty on the background estimate.

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Figure 4-c:
Distributions of ${m_{\mathrm {reco}}}$ in the validation region of the two most sensitive categories in the muon channel (top) and electron channel (bottom). The lower panels show the Data - Background / $\sigma $, where sigma includes the statistical and systematic uncertainty on the background estimate.

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Figure 4-d:
Distributions of ${m_{\mathrm {reco}}}$ in the validation region of the two most sensitive categories in the muon channel (top) and electron channel (bottom). The lower panels show the Data - Background / $\sigma $, where sigma includes the statistical and systematic uncertainty on the background estimate.

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Figure 5:
Distributions of $ {m_{\mathrm {reco}}} $ measured in the signal region for events with a jet in the forward direction with $ {| \eta |} > $ 2.4 in the muon channel. Shown aret the four most sensitive categories: t tag cat. (top left), W tag cat. (top right), $\geq $2 b tag cat. (bottom left), 1 b tag cat. (bottom right). The background prediction is obtained from control regions as detailed in the main text. The distributions from two signal samples with a cross section of 1 pb are also shown.

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Figure 5-a:
Distributions of $ {m_{\mathrm {reco}}} $ measured in the signal region for events with a jet in the forward direction with $ {| \eta |} > $ 2.4 in the muon channel. Shown aret the four most sensitive categories: t tag cat. (top left), W tag cat. (top right), $\geq $2 b tag cat. (bottom left), 1 b tag cat. (bottom right). The background prediction is obtained from control regions as detailed in the main text. The distributions from two signal samples with a cross section of 1 pb are also shown.

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Figure 5-b:
Distributions of $ {m_{\mathrm {reco}}} $ measured in the signal region for events with a jet in the forward direction with $ {| \eta |} > $ 2.4 in the muon channel. Shown aret the four most sensitive categories: t tag cat. (top left), W tag cat. (top right), $\geq $2 b tag cat. (bottom left), 1 b tag cat. (bottom right). The background prediction is obtained from control regions as detailed in the main text. The distributions from two signal samples with a cross section of 1 pb are also shown.

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Figure 5-c:
Distributions of $ {m_{\mathrm {reco}}} $ measured in the signal region for events with a jet in the forward direction with $ {| \eta |} > $ 2.4 in the muon channel. Shown aret the four most sensitive categories: t tag cat. (top left), W tag cat. (top right), $\geq $2 b tag cat. (bottom left), 1 b tag cat. (bottom right). The background prediction is obtained from control regions as detailed in the main text. The distributions from two signal samples with a cross section of 1 pb are also shown.

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Figure 5-d:
Distributions of $ {m_{\mathrm {reco}}} $ measured in the signal region for events with a jet in the forward direction with $ {| \eta |} > $ 2.4 in the muon channel. Shown aret the four most sensitive categories: t tag cat. (top left), W tag cat. (top right), $\geq $2 b tag cat. (bottom left), 1 b tag cat. (bottom right). The background prediction is obtained from control regions as detailed in the main text. The distributions from two signal samples with a cross section of 1 pb are also shown.

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Figure 6:
Distributions of $ {m_{\mathrm {reco}}} $ measured in the signal region for events with a jet in the forward direction with $ {| \eta |} > $ 2.4 in the electron channel. Shown are the four most sensitive categories: t tag cat. (top left), W tag cat. (top right), $\geq $2 b tag cat. (bottom left), 1 b tag cat. (bottom right). The background prediction is obtained from control regions as detailed in the main text. The distributions from two signal samples with a cross section of 1 pb are also shown.

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Figure 6-a:
Distributions of $ {m_{\mathrm {reco}}} $ measured in the signal region for events with a jet in the forward direction with $ {| \eta |} > $ 2.4 in the electron channel. Shown are the four most sensitive categories: t tag cat. (top left), W tag cat. (top right), $\geq $2 b tag cat. (bottom left), 1 b tag cat. (bottom right). The background prediction is obtained from control regions as detailed in the main text. The distributions from two signal samples with a cross section of 1 pb are also shown.

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Figure 6-b:
Distributions of $ {m_{\mathrm {reco}}} $ measured in the signal region for events with a jet in the forward direction with $ {| \eta |} > $ 2.4 in the electron channel. Shown are the four most sensitive categories: t tag cat. (top left), W tag cat. (top right), $\geq $2 b tag cat. (bottom left), 1 b tag cat. (bottom right). The background prediction is obtained from control regions as detailed in the main text. The distributions from two signal samples with a cross section of 1 pb are also shown.

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Figure 6-c:
Distributions of $ {m_{\mathrm {reco}}} $ measured in the signal region for events with a jet in the forward direction with $ {| \eta |} > $ 2.4 in the electron channel. Shown are the four most sensitive categories: t tag cat. (top left), W tag cat. (top right), $\geq $2 b tag cat. (bottom left), 1 b tag cat. (bottom right). The background prediction is obtained from control regions as detailed in the main text. The distributions from two signal samples with a cross section of 1 pb are also shown.

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Figure 6-d:
Distributions of $ {m_{\mathrm {reco}}} $ measured in the signal region for events with a jet in the forward direction with $ {| \eta |} > $ 2.4 in the electron channel. Shown are the four most sensitive categories: t tag cat. (top left), W tag cat. (top right), $\geq $2 b tag cat. (bottom left), 1 b tag cat. (bottom right). The background prediction is obtained from control regions as detailed in the main text. The distributions from two signal samples with a cross section of 1 pb are also shown.

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Figure 7:
Upper limits at 95% CL on the VLQ production cross section times branching fraction for B quark production in association with a SM b quark for left- (top left) and right-handed (top right) VLQ couplings and a VLQ width of 1%. For the same production mode and the left-handed VLQ couplings the 10% (bottom left) width scenario and a comparison of the observed exclusion limits for VLQ widths between 10 and 30% (bottom right) for left-handed couplings are also shown. The dashed dotted lines show the predictions for a VLQ width of 1% (blue), 10% (red), 20% (lime) and 30% (teal).

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Figure 7-a:
Upper limits at 95% CL on the VLQ production cross section times branching fraction for B quark production in association with a SM b quark for left- (top left) and right-handed (top right) VLQ couplings and a VLQ width of 1%. For the same production mode and the left-handed VLQ couplings the 10% (bottom left) width scenario and a comparison of the observed exclusion limits for VLQ widths between 10 and 30% (bottom right) for left-handed couplings are also shown. The dashed dotted lines show the predictions for a VLQ width of 1% (blue), 10% (red), 20% (lime) and 30% (teal).

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Figure 7-b:
Upper limits at 95% CL on the VLQ production cross section times branching fraction for B quark production in association with a SM b quark for left- (top left) and right-handed (top right) VLQ couplings and a VLQ width of 1%. For the same production mode and the left-handed VLQ couplings the 10% (bottom left) width scenario and a comparison of the observed exclusion limits for VLQ widths between 10 and 30% (bottom right) for left-handed couplings are also shown. The dashed dotted lines show the predictions for a VLQ width of 1% (blue), 10% (red), 20% (lime) and 30% (teal).

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Figure 7-c:
Upper limits at 95% CL on the VLQ production cross section times branching fraction for B quark production in association with a SM b quark for left- (top left) and right-handed (top right) VLQ couplings and a VLQ width of 1%. For the same production mode and the left-handed VLQ couplings the 10% (bottom left) width scenario and a comparison of the observed exclusion limits for VLQ widths between 10 and 30% (bottom right) for left-handed couplings are also shown. The dashed dotted lines show the predictions for a VLQ width of 1% (blue), 10% (red), 20% (lime) and 30% (teal).

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Figure 7-d:
Upper limits at 95% CL on the VLQ production cross section times branching fraction for B quark production in association with a SM b quark for left- (top left) and right-handed (top right) VLQ couplings and a VLQ width of 1%. For the same production mode and the left-handed VLQ couplings the 10% (bottom left) width scenario and a comparison of the observed exclusion limits for VLQ widths between 10 and 30% (bottom right) for left-handed couplings are also shown. The dashed dotted lines show the predictions for a VLQ width of 1% (blue), 10% (red), 20% (lime) and 30% (teal).

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Figure 8:
Upper limits at 95% CL on the VLQ production cross section times branching fraction for the production modes B (top left) and $X_{5/3}$ (top right) in association with a SM top quark for right-handed VLQ couplings. The $X_{5/3}$ with a 10% width (bottom left) and the comparison of the observed exclusion limits for widths between 10 and 30% (bottom right) for left-handed couplings are also shown. The dashed dotted lines show the predictions for a VLQ width of 1% (blue), 10% (red), 20% (lime) and 30% (teal).

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Figure 8-a:
Upper limits at 95% CL on the VLQ production cross section times branching fraction for the production modes B (top left) and $X_{5/3}$ (top right) in association with a SM top quark for right-handed VLQ couplings. The $X_{5/3}$ with a 10% width (bottom left) and the comparison of the observed exclusion limits for widths between 10 and 30% (bottom right) for left-handed couplings are also shown. The dashed dotted lines show the predictions for a VLQ width of 1% (blue), 10% (red), 20% (lime) and 30% (teal).

png pdf
Figure 8-b:
Upper limits at 95% CL on the VLQ production cross section times branching fraction for the production modes B (top left) and $X_{5/3}$ (top right) in association with a SM top quark for right-handed VLQ couplings. The $X_{5/3}$ with a 10% width (bottom left) and the comparison of the observed exclusion limits for widths between 10 and 30% (bottom right) for left-handed couplings are also shown. The dashed dotted lines show the predictions for a VLQ width of 1% (blue), 10% (red), 20% (lime) and 30% (teal).

png pdf
Figure 8-c:
Upper limits at 95% CL on the VLQ production cross section times branching fraction for the production modes B (top left) and $X_{5/3}$ (top right) in association with a SM top quark for right-handed VLQ couplings. The $X_{5/3}$ with a 10% width (bottom left) and the comparison of the observed exclusion limits for widths between 10 and 30% (bottom right) for left-handed couplings are also shown. The dashed dotted lines show the predictions for a VLQ width of 1% (blue), 10% (red), 20% (lime) and 30% (teal).

png pdf
Figure 8-d:
Upper limits at 95% CL on the VLQ production cross section times branching fraction for the production modes B (top left) and $X_{5/3}$ (top right) in association with a SM top quark for right-handed VLQ couplings. The $X_{5/3}$ with a 10% width (bottom left) and the comparison of the observed exclusion limits for widths between 10 and 30% (bottom right) for left-handed couplings are also shown. The dashed dotted lines show the predictions for a VLQ width of 1% (blue), 10% (red), 20% (lime) and 30% (teal).
Tables

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Table 1:
Summary of systematic uncertainties considered for simulated signal events for the right handed B with a mass of $900 GeV $ produced in association with a b quark.
Summary
A search for a singly produced vector-like quark decaying into a top quark and a W boson has been performed in the 2016 dataset recorded by the CMS experiment at the CERN LHC. The selection is optimized for high vector-like quark (VLQ) masses, with an electron or muon, significant missing transverse momentum and two jets with high ${p_{\mathrm{T}}}$ in the final state. VLQs in the single production mode can be produced in association with a t or b quark and a forward jet. The latter feature is used to obtain the background prediction in the signal regions from data. The VLQ mass is reconstructed using t tagging, the missing transverse momentum, the lepton and jets in the event. Different decay possibilities of the t and W are considered. The reach of the search is enhanced by using t, W and b tagging. Expected upper limits at 95% confidence level on the production cross section times branching fraction range from around 0.3pb for VLQ masses of 700 GeV down to 0.03pb for 1800 GeV.
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