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.

10.17182/hepdata.82544.v2/t21

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.

10.17182/hepdata.82544.v2/t26

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.

10.17182/hepdata.82544.v2/t27

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.

10.17182/hepdata.82544.v2/t29

Absolute and normalised unfolded differential $\bar tq$ production cross$-$section as a function of $|y(t)|$ at parton level.
Table 30

Figure 2a of the auxiliary material.

10.17182/hepdata.82544.v2/t30

Statistical correlation matrix for the absolute differential cross-section as a function of $p_{\mathrm{T}}(\hat{t\hspace{-0.2mm}})$ for $tq$ events(at the particle level). It...
Table 31

Figure 2b of the auxiliary material.

10.17182/hepdata.82544.v2/t31

Statistical correlation matrix for the absolute differential cross-section as a function of $p_{\mathrm{T}}(\hat{t\hspace{-0.2mm}})$ for $ \bar tq$ events (at the...
Table 32

Figure 2c of the auxiliary material.

10.17182/hepdata.82544.v2/t32

Statistical correlation matrix for the normalised differential cross-section as a function of $p_{\mathrm{T}}(\hat{t\hspace{-0.2mm}})$ for $tq$ events (at the particle level)....
Table 33

Figure 2d of the auxiliary material.

10.17182/hepdata.82544.v2/t33

Statistical correlation matrix for the normalised differential cross-section as a function of $p_{\mathrm{T}}(\hat{t\hspace{-0.2mm}})$ for $\bar tq$ events (at the particle...
Table 34

Figure 3a of the auxiliary material.

10.17182/hepdata.82544.v2/t34

Statistical correlation matrix for the absolute differential cross-section as a function of $|y(\hat{t\hspace{-0.2mm}})|$ for $tq$ events (at the particle level)....
Table 35

Figure 3b of the auxiliary material.

10.17182/hepdata.82544.v2/t35

Statistical correlation matrix for the absolute differential cross-section as a function of $|y(\hat{t\hspace{-0.2mm}})|$ for $ \bar tq$ events (at the...
Table 36

Figure 3c of the auxiliary material.

10.17182/hepdata.82544.v2/t36

Statistical correlation matrix for the normalised differential cross-section as a function of $|y(\hat{t\hspace{-0.2mm}})|$ for $tq$ events (at the particle level)....
Table 37

Figure 3d of the auxiliary material.

10.17182/hepdata.82544.v2/t37

Statistical correlation matrix for the normalised differential cross-section as a function of $|y(\hat{t\hspace{-0.2mm}})|$ for $\bar tq$ events (at the particle...
Table 38

Figure 4a of the auxiliary material.

10.17182/hepdata.82544.v2/t38

Statistical correlation matrix for the absolute differential cross-section as a function of $p_{\mathrm{T}}(\hat{j\hspace{-0.2mm}})$ for $tq$ events (at the particle level)....
Table 39

Figure 4b of the auxiliary material.

10.17182/hepdata.82544.v2/t39

Statistical correlation matrix for the absolute differential cross-section as a function of $p_{\mathrm{T}}(\hat{j\hspace{-0.2mm}})$ for $\bar tq$ events (at the particle...
Table 40

Figure 4c of the auxiliary material.

10.17182/hepdata.82544.v2/t40

Statistical correlation matrix for the normalised differential cross-section as a function of $p_{\mathrm{T}}(\hat{j\hspace{-0.2mm}})$ for $tq$ events (at the particle level)....
Table 41

Figure 4d of the auxiliary material.

10.17182/hepdata.82544.v2/t41

Statistical correlation matrix for the normalised differential cross-section as a function of $p_{\mathrm{T}}(\hat{j\hspace{-0.2mm}})$ for $\bar tq$ events (at the particle...
Table 42

Figure 5a of the auxiliary material.

10.17182/hepdata.82544.v2/t42

Statistical correlation matrix for the absolute differential cross-section as a function of $|y(\hat{j\hspace{-0.2mm}})|$ for $tq$ events (at the particle level)....
Table 43

Figure 5b of the auxiliary material.

10.17182/hepdata.82544.v2/t43

Statistical correlation matrix for the absolute differential cross-section as a function of $|y(\hat{j\hspace{-0.2mm}})|$ for $\bar tq$ events (at the particle...
Table 44

Figure 5c of the auxiliary material.

10.17182/hepdata.82544.v2/t44

Statistical correlation matrix for the normalised differential cross-section as a function of $|y(\hat{j\hspace{-0.2mm}})|$ for $tq$ events (at the particle level)....
Table 45

Figure 5d of the auxiliary material.

10.17182/hepdata.82544.v2/t45

Statistical correlation matrix for the normalised differential cross-section as a function of $|y(\hat{j\hspace{-0.2mm}})|$ for $\bar tq$ events (at the particle...
Table 46

Figure 6a of the auxiliary material.

10.17182/hepdata.82544.v2/t46

Statistical correlation matrix for the absolute differential cross-section as a function of $p_{\mathrm{T}}(t)$ for $tq$ events (at the parton level)....
Table 47

Figure 6b of the auxiliary material.

10.17182/hepdata.82544.v2/t47

Statistical correlation matrix for the absolute differential cross-section as a function of $p_{\mathrm{T}}(t)$ for $ \bar tq$ events (at the...
Table 48

Figure 6c of the auxiliary material.

10.17182/hepdata.82544.v2/t48

Statistical correlation matrix for the normalised differential cross-section as a function of $p_{\mathrm{T}}(t)$ for $tq$ events (at the parton level)....
Table 49

Figure 6d of the auxiliary material.

10.17182/hepdata.82544.v2/t49

Statistical correlation matrix for the normalised differential cross-section as a function of $p_{\mathrm{T}}(t)$ for $ \bar tq$ events (at the...
Table 50

Figure 7a of the auxiliary material.

10.17182/hepdata.82544.v2/t50

Statistical correlation matrix for the absolute differential cross-section as a function of $|y(t)|$ for $tq$ events (at the parton level)....
Table 51

Figure 7b of the auxiliary material.

10.17182/hepdata.82544.v2/t51

Statistical correlation matrix for the absolute differential cross-section as a function of $|y(t)|$ for $\bar tq$ events (at the parton...
Table 52

Figure 7c of the auxiliary material.

10.17182/hepdata.82544.v2/t52

Statistical correlation matrix for the normalised differential cross-section as a function of $|y(t)|$ for $tq$ events (at the parton level)....
Table 53

Figure 7d of the auxiliary material.

10.17182/hepdata.82544.v2/t53

Statistical correlation matrix for the normalised differential cross-section as a function of $|y(t)|$ for $\bar tq$ events (at the parton...
Table 54

Table 1 of the auxiliary material.

10.17182/hepdata.82544.v2/t54

Fiducial acceptance $A_{\mathrm{fid}}$ for different $t$-channel single top-quark MC samples. $^{\mathrm{(a)}}$ Calculation taken from AcerMC $+$ $\mathrm{P{\scriptsize YTHIA}6}$. $^{\mathrm{(b)}}$ Calculation...
Table 55

Table 2 of the auxiliary material.

10.17182/hepdata.82544.v2/t55

Fiducial acceptance $A_{\mathrm{fid}}$ for different $t$-channel single top-antiquark MC samples. $^{\mathrm{(a)}}$ Calculation taken from AcerMC $+$ $\mathrm{P{\scriptsize YTHIA}6}$. $^{\mathrm{(b)}}$ Calculation...
Table 56

Table 3 of the auxiliary material.

10.17182/hepdata.82544.v2/t56

Uncertainties for the absolute differential $tq$ cross-section as a function of $p_{\mathrm{T}}(\hat{t\hspace{-0.2mm}})$ at particle level per bin ([0,35,50,75,100,150,200,300] GeV) in...
Table 57

Table 4 of the auxiliary material.

10.17182/hepdata.82544.v2/t57

Uncertainties for the normalised differential $tq$ cross-section as a function of $p_{\mathrm{T}}(\hat{t\hspace{-0.2mm}})$ at particle level per bin ([0,35,50,75,100,150,200,300] GeV) in...
Table 58

Table 5 of the auxiliary material.

10.17182/hepdata.82544.v2/t58

Uncertainties for the absolute differential $\bar tq$ cross-section as a function of $p_{\mathrm{T}}(\hat{t\hspace{-0.2mm}})$ at particle level per bin ([0,35,50,75,100,150,300] GeV)...
Table 59

Table 6 of the auxiliary material.

10.17182/hepdata.82544.v2/t59

Uncertainties for the normalised differential $\bar tq$ cross-section as a function of $p_{\mathrm{T}}(\hat{t\hspace{-0.2mm}})$ at particle level per bin ([0,35,50,75,100,150,300] GeV)...
Table 60

Table 7 of the auxiliary material.

10.17182/hepdata.82544.v2/t60

Uncertainties for the absolute differential $tq$ cross-section as a function of $|y(\hat{t\hspace{-0.2mm}})|$ at particle level per bin ([0,0.15,0.3,0.45,0.7,1.0,1.3,2.2]) in percent...
Table 61

Table 8 of the auxiliary material.

10.17182/hepdata.82544.v2/t61

Uncertainties for the normalised differential $tq$ cross-section as a function of $|y(\hat{t\hspace{-0.2mm}})|$ at particle level per bin ([0,0.15,0.3,0.45,0.7,1.0,1.3,2.2]) in percent...
Table 62

Table 9 of the auxiliary material.

10.17182/hepdata.82544.v2/t62

Uncertainties for the absolute differential $\bar tq$ cross-section as a function of $|y(\hat{t\hspace{-0.2mm}})|$ at particle level per bin ([0,0.15,0.3,0.45,0.7,1.0,1.3,2.2]) in...
Table 63

Table 10 of the auxiliary material.

10.17182/hepdata.82544.v2/t63

Uncertainties for the normalised differential $\bar tq$ cross-section as a function of $|y(\hat{t\hspace{-0.2mm}})|$ at particle level per bin ([0,0.15,0.3,0.45,0.7,1.0,1.3,2.2]) in...
Table 64

Table 11 of the auxiliary material.

10.17182/hepdata.82544.v2/t64

Uncertainties for the absolute differential $tq$ cross-section as a function of $p_{\mathrm{T}}(\hat{j\hspace{-0.2mm}})$ at particle level per bin ([30,45,60,75,100,150,300] GeV) in...
Table 65

Table 12 of the auxiliary material.

10.17182/hepdata.82544.v2/t65

Uncertainties for the normalised differential $tq$ cross-section as a function of $p_{\mathrm{T}}(\hat{j\hspace{-0.2mm}})$ at particle level per bin ([30,45,60,75,100,150,300] GeV) in...
Table 66

Table 13 of the auxiliary material.

10.17182/hepdata.82544.v2/t66

Uncertainties for the absolute differential $\bar tq$ cross-section as a function of $p_{\mathrm{T}}(\hat{j\hspace{-0.2mm}})$ at particle level per bin ([30,45,60,75,100,150,300] GeV)...
Table 67

Table 14 of the auxiliary material.

10.17182/hepdata.82544.v2/t67

Uncertainties for the normalised differential $\bar tq$ cross-section as a function of $p_{\mathrm{T}}(\hat{j\hspace{-0.2mm}})$ at particle level per bin ([30,45,60,75,100,150,300] GeV)...
Table 68

Table 15 of the auxiliary material.

10.17182/hepdata.82544.v2/t68

Uncertainties for the absolute differential $tq$ cross-section as a function of $|y(\hat{j\hspace{-0.2mm}})|$ at particle level per bin ([0.0, 1.2, 1.7,...
Table 69

Table 16 of the auxiliary material.

10.17182/hepdata.82544.v2/t69

Uncertainties for the normalised differential $tq$ cross-section as a function of $|y(\hat{j\hspace{-0.2mm}})|$ at particle level per bin ([0.0, 1.2, 1.7,...
Table 70

Table 17 of the auxiliary material.

10.17182/hepdata.82544.v2/t70

Uncertainties for the absolute differential $\bar tq$ cross-section as a function of $|y(\hat{j\hspace{-0.2mm}})|$ at particle level per bin ([0.0, 1.2,...
Table 71

Table 18 of the auxiliary material.

10.17182/hepdata.82544.v2/t71

Uncertainties for the normalised differential $\bar tq$ cross-section as a function of $|y(\hat{j\hspace{-0.2mm}})|$ at particle level per bin ([0.0, 1.2,...
Table 72

Table 19 of the auxiliary material.

10.17182/hepdata.82544.v2/t72

Uncertainties for the absolute differential $tq$ cross-section as a function of $p_{\mathrm{T}}(t)$ at parton level per bin ([0,50,100,150,200,300] GeV) in...
Table 73

Table 20 of the auxiliary material.

10.17182/hepdata.82544.v2/t73

Uncertainties for the normalised differential $tq$ cross-section as a function of $p_{\mathrm{T}}(t)$ at parton level per bin ([0,50,100,150,200,300] GeV) in...
Table 74

Table 21 of the auxiliary material.

10.17182/hepdata.82544.v2/t74

Uncertainties for the absolute differential $\bar tq $ cross-section as a function of $p_{\mathrm{T}}(t)$ at parton level per bin ([0,50,100,150,300]...
Table 75

Table 22 of the auxiliary material.

10.17182/hepdata.82544.v2/t75

Uncertainties for the normalised differential $\bar tq $ cross-section as a function of $p_{\mathrm{T}}(t)$ at parton level per bin ([0,50,100,150,300]...
Table 76

Table 23 of the auxiliary material.

10.17182/hepdata.82544.v2/t76

Uncertainties for the absolute differential $ tq $ cross-section as a function of $|y(t)|$ at parton level per bin ([0,0.3,0.7,1.3,2.2])...
Table 77

Table 24 of the auxiliary material.

10.17182/hepdata.82544.v2/t77

Uncertainties for the normalised differential $ tq $ cross-section as a function of $|y(t)|$ at parton level per bin ([0,0.3,0.7,1.3,2.2])...
Table 78

Table 25 of the auxiliary material.

10.17182/hepdata.82544.v2/t78

Uncertainties for the absolute differential $ \bar tq $ cross-section as a function of $|y(t)|$ at parton level per bin...
Table 79

Table 26 of the auxiliary material.

10.17182/hepdata.82544.v2/t79

Uncertainties for the normalised differential $ \bar tq $ cross-section as a function of $|y(t)|$ at parton level per bin...

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