Abstract (data abstract)

- CERN-LHC. Detailed measurements of $t$-channel single top-quark production are presented. They use $20.2~\mathrm{fb}^{-1}$ of data collected by the ATLAS experiment in proton--proton collisions at a centre-of-mass energy of 8 TeV at the LHC. Total, fiducial and differential cross-sections are measured for both top-quark and top-antiquark production. The fiducial cross-section is measured with a precision of $5.8~\%$ (top quark) and $7.8~\%$ (top antiquark), respectively. The total cross-sections are measured to be $\sigma_\mathrm{tot}(tq) = 56.7^{+4.3}_{-3.8}\;\mathrm{pb}$ for top-quark production and $\sigma_\mathrm{tot}(\bar{t} q) = 32.9^{+3.0}_{-2.7}\;\mathrm{pb}$ for top-antiquark production, in agreement with the Standard Model prediction. In addition, the ratio of top-quark to top-antiquark production cross-sections is determined to be $R_t=1.72 \pm 0.09$. The differential cross-sections as a function of the transverse momentum and rapidity of both the top quark and the top antiquark are measured at both the parton and particle levels. The transverse momentum and rapidity differential cross-sections of the accompanying jet from the $t$-channel scattering are measured at particle level. All measurements are compared to various Monte Carlo predictions as well as to fixed-order QCD calculations where available.

Table 1

Table 1 on page 8 of the paper.

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Predicted and observed event yields for the signal region (SR). The multijet background prediction is obtained from a binned maximum-likelihood...
Table 2

Section 7.2 of the paper.

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Definition of the fiducial phase space.
Table 3

Table 2 on page 9 of the paper.

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The seven input variables to the NN ordered by their discriminating power. The jet that is not $b$-tagged is referred...
Table 4

Table 3 on page 12 of the paper.

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Event yields for the different processes estimated with the fit to the $O_\mathrm{NN}$ distribution compared to the numbers of observed...
Table 5

Equations (8) and (9) on page 12 of the paper.

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Table 6

Table 5 on page 15 of the paper.

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Detailed list of the contribution from each source of uncertainty to the total uncertainty in the measured values of $\sigma_{\mathrm{fid}}(tq)$...
Table 7

Main text on page 15 of the paper.

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Table 8

Equations (10), (11) and (12) on page 15, equation (13) on page 16 and equation (15) on page 17 of the paper.

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Table 9

Table 5 on page 17 of the paper.

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Significant contributions to the total relative uncertainty in the measured value of $R_{t}$. The estimation of the systematic uncertainties has...
Table 10

Table 6 on page 17 of the paper.

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Slopes $a$ of the mass dependence of the measured cross$-$sections.
Table 11

Table 7 on page 18 of the paper.

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Predicted (post-fit) and observed event yields for the signal region (SR), after the requirement on the neural network discriminant, $O_{\mathrm{NN}}~>~0.8$....
Table 12

Table 8 on page 18 of the paper.

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Predicted (post-fit) and observed event yields for the signal region (SR), after the requirement on the second neural network discriminant,...
Table 13

Figure 16a on page 23 of the paper.

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Migration matrix for $p_{\mathrm{T}}(\hat{t\hspace{-0.2mm}})$ at the particle level. The pseudo top quark is shown on the $y$-axis and the reconstructed...
Table 14

Figure 16b on page 23 of the paper.

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Migration matrix for $p_{\mathrm{T}}(t)$ at the parton level. The parton-level quark is shown on the $y$-axis and the reconstructed variable...
Table 15

Figure 16c on page 23 of the paper.

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Migration matrix for $|y(\hat{t\hspace{-0.2mm}})|$ at the particle level. The pseudo top quark is shown on the $y$-axis and the reconstructed...
Table 16

Figure 16d on page 23 of the paper.

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Migration matrix for $|y(t)|$ at the parton level. The parton-level quark is shown on the $y$-axis and the reconstructed variable...
Table 17

Table 9 on page 24 of the paper.

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Uncertainties in the normalisations of the different backgrounds for all processes, as derived from the total cross-section measurement.
Table 18

Table 10 on page 25 of the paper.

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Absolute and normalised unfolded differential $tq$ production cross$-$section as a function of $p_{\mathrm{T}}(\hat{t\hspace{-0.2mm}})$ at particle level.
Table 19

Table 11 on page 26 of the paper.

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Absolute and normalised unfolded differential $\bar tq$ production cross$-$section as a function of $p_{\mathrm{T}}(\hat{t\hspace{-0.2mm}})$ at particle level.
Table 20

Table 12 on page 26 of the paper.

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Absolute and normalised unfolded differential $tq$ production cross$-$section as a function of $|y(\hat{t\hspace{-0.2mm}})|$ at particle level.
Table 21

Table 13 on page 26 of the paper.

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Absolute and normalised unfolded differential $\bar tq$ production cross$-$section as a function of $|y(\hat{t\hspace{-0.2mm}})|$ at particle level.
Table 22

Table 14 on page 27 of the paper.

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Absolute and normalised unfolded differential $tq$ production cross$-$section as a function of $p_{\mathrm{T}}(\hat{j\hspace{-0.2mm}})$ at particle level.
Table 23

Table 15 on page 27 of the paper.

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Absolute and normalised unfolded differential $\bar tq$ production cross$-$section as a function of $p_{\mathrm{T}}(\hat{j\hspace{-0.2mm}})$ at particle level.
Table 24

Table 16 on page 28 of the paper.

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Absolute and normalised unfolded differential $tq$ production cross$-$section as a function of $|y(\hat{j\hspace{-0.2mm}})|$ at particle level.
Table 25

Table 17 on page 28 of the paper.

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Absolute and normalised unfolded differential $\bar tq$ production cross$-$section as a function of $|y(\hat{j\hspace{-0.2mm}})|$ at particle level.
Table 26

Table 18 on page 29 of the paper.

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Absolute and normalised unfolded differential $tq$ production cross$-$section as a function of $p_{\mathrm{T}}(t)$ at parton level.
Table 27

Table 19 on page 29 of the paper.

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Absolute and normalised unfolded differential $\bar tq$ production cross$-$section as a function of $p_{\mathrm{T}}(t)$ at parton level.
Table 28

Table 20 on page 30 of the paper.

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Absolute and normalised unfolded differential $tq$ production cross$-$section as a function of $|y(t)|$ at parton level.
Table 29

Table 21 on page 30 of the paper.

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Absolute and normalised unfolded differential $\bar tq$ production cross$-$section as a function of $|y(t)|$ at parton level.

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