Abstract (data abstract)

The first direct, model-independent measurement is presented of the modulus of the Cabibbo--Kobayashi--Maskawa (CKM) matrix elements $|V_{tb}|$, $|V_{td}|$, and $|V_{ts}|$, in final states enriched in single top quark $t$-channel events. The analysis uses proton-proton collision data from the LHC, collected during 2016 by the CMS experiment, at a centre-of-mass energy of 13 TeV, corresponding to an integrated luminosity of $35.9 fb^{-1}$. Processes directly sensitive to these matrix elements are considered at both the production and decay vertices of the top quark. In the standard model hypothesis of CKM unitarity, a lower limit of $|V_{tb}| > 0.970$ is measured at the $95\%$ confidence level. Several theories beyond the standard model are considered, and by releasing all constraints among the involved parameters, the values $|V_{tb}| = 0.988 \pm 0.024 $, and $|V_{td}|^2 +|V_{ts}|^2 = 0.06 \pm 0.06$, where the uncertainties include both statistical and systematic components, are measured.

Figure 2a

Data from Figure 2 (upper left), located on page 8.

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The $m_{W}^{T}$ distribution from data (points) and simulation (shaded histograms) in the 2j1t (left) and 3j1t (right) categories for the...
Figure 2b

Data from Figure 2 (upper right), located on page 8.

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The $m_{W}^{T}$ distribution from data (points) and simulation (shaded histograms) in the 2j1t (left) and 3j1t (right) categories for the...
Figure 2c

Data from Figure 2 (lower left), located on page 8.

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The $m_{W}^{T}$ distribution from data (points) and simulation (shaded histograms) in the 2j1t (left) and 3j1t (right) categories for the...
Figure 2d

Data from Figure 2 (lower right), located on page 8.

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The $m_{W}^{T}$ distribution from data (points) and simulation (shaded histograms) in the 2j1t (left) and 3j1t (right) categories for the...
Figure 3a

Data from Figure 3 (upper left), located on page 10.

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Distributions of the two most discriminating variables from data (points) and simulation (shaded histograms) in the 2j1t category: the $|\eta|$...
Figure 3b

Data from Figure 3 (upper right), located on page 10.

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Distributions of the two most discriminating variables from data (points) and simulation (shaded histograms) in the 2j1t category: the $|\eta|$...
Figure 3c

Data from Figure 3 (lower left), located on page 10.

10.17182/hepdata.95117.v1/t7

Distributions of the two most discriminating variables from data (points) and simulation (shaded histograms) in the 2j1t category: the $|\eta|$...
Figure 3d

Data from Figure 3 (lower right), located on page 10.

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Distributions of the two most discriminating variables from data (points) and simulation (shaded histograms) in the 2j1t category: the $|\eta|$...
Figure 4a

Data from Figure 4 (upper left), located on page 11.

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Distributions of the two most discriminating variables from data (points) and simulation (shaded histograms) in the 3j1t category: the $p_{T}^{miss}$...
Figure 4b

Data from Figure 4 (upper right), located on page 11.

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Distributions of the two most discriminating variables from data (points) and simulation (shaded histograms) in the 3j1t category: the $p_{T}^{miss}$...
Figure 4c

Data from Figure 4 (lower left), located on page 11.

10.17182/hepdata.95117.v1/t11

Distributions of the two most discriminating variables from data (points) and simulation (shaded histograms) in the 3j1t category: the $p_{T}^{miss}$...
Figure 4d

Data from Figure 4 (lower right), located on page 11.

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Distributions of the two most discriminating variables from data (points) and simulation (shaded histograms) in the 3j1t category: the $p_{T}^{miss}$...
Figure 5a

Data from Figure 5 (upper left), located on page 12.

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Distributions of the two most discriminating variables from data (points) and simulation (shaded histograms) in the 3j2t category: the $|\eta|$...
Figure 5b

Data from Figure 5 (upper right), located on page 12.

10.17182/hepdata.95117.v1/t14

Distributions of the two most discriminating variables from data (points) and simulation (shaded histograms) in the 3j2t category: the $|\eta|$...
Figure 5c

Data from Figure 5 (lower left), located on page 12.

10.17182/hepdata.95117.v1/t15

Distributions of the two most discriminating variables from data (points) and simulation (shaded histograms) in the 3j2t category: the $|\eta|$...
Figure 5d

Data from Figure 5 (lower right), located on page 12.

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Distributions of the two most discriminating variables from data (points) and simulation (shaded histograms) in the 3j2t category: the $|\eta|$...
Figure 6a

Data from Figure 6 (upper left), located on page 15.

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Distribution of the multivariate discriminators, comparing data to simulation normalised after the fit procedure, for the muon channel on the...
Figure 6b

Data from Figure 6 (upper right), located on page 15.

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Distribution of the multivariate discriminators, comparing data to simulation normalised after the fit procedure, for the muon channel on the...
Figure 6c

Data from Figure 6 (middle left), located on page 15.

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Distribution of the multivariate discriminators, comparing data to simulation normalised after the fit procedure, for the muon channel on the...
Figure 6d

Data from Figure 6 (middle right), located on page 15.

10.17182/hepdata.95117.v1/t20

Distribution of the multivariate discriminators, comparing data to simulation normalised after the fit procedure, for the muon channel on the...
Figure 6e

Data from Figure 6 (lower left), located on page 15.

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Distribution of the multivariate discriminators, comparing data to simulation normalised after the fit procedure, for the muon channel on the...
Figure 6f

Data from Figure 6 (lower right), located on page 15.

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Distribution of the multivariate discriminators, comparing data to simulation normalised after the fit procedure, for the muon channel on the...
Table 1

Data from Table 1, located on page 5.

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Values of the third-row elements of the CKM matrix inferred from low-energy measurements with the respective values of the top...
Table 2

Data from Table 2, located on page 6.

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For each of the production and decay vertices, the cross section times branching fraction for the corresponding signal process from...
Table 4

Data from Table 4, located on page 14.

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The sources and relative values in percent of the systematic uncertainty in the measurement of the STb,b cross section. The...
The signal strengths obtained under SM assumptions.

Data from Eq.6

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The signal strengths obtained under SM assumptions.
Results obtained under SM assumptions.

Data from Eq.8

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Results obtained under SM assumptions.
Results obtained under first BSM scenario.

Data from Eq.10

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Results obtained under first BSM scenario.
Results obtained under second BSM scenario.

Data from Eq.12

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Results obtained under second BSM scenario.

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Table 1

Table 2

Table 4

The signal strengths obtained under SM assumptions.

Results obtained under SM assumptions.

Results obtained under first BSM scenario.

Results obtained under second BSM scenario.

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