Abstract (data abstract)

- CERN-LHC. This article presents measurements of the $t$-channel single top-quark $(t)$ and top-antiquark $(\bar t)$ total production cross sections $\sigma(tq)$ and $\sigma(\bar tq)$, their ratio $R_{t}=\sigma(tq)/\sigma(\bar tq)$, and a measurement of the inclusive production cross section $\sigma(tq+\bar tq)$ in proton-proton collisions at $\sqrt{s}~=~7~\mathrm{TeV}$ at the LHC. Differential cross sections for the $tq$ and $\bar tq$ processes are measured as a function of the transverse momentum and the absolute value of the rapidity of $t$ and $\bar t$, respectively. The analyzed data set was recorded with the ATLAS detector and corresponds to an integrated luminosity of $4.59~\mathrm{fb}^{-1}$. Selected events contain one charged lepton, large missing transverse momentum, and two or three jets. The cross sections are measured by performing a binned maximum-likelihood fit to the output distributions of neural networks. The resulting measurements are $\sigma(tq)=46 \pm 1(\mathrm{stat})\pm 6(\mathrm{syst})~\mathrm{pb}$, $\sigma(\bar tq)=23 \pm 1(\mathrm{stat})\pm 3(\mathrm{syst})~\mathrm{pb}$, $R_{t}=2.04 \pm 0.13(\mathrm{stat})\pm 0.12(\mathrm{syst})$, and $\sigma(tq+\bar tq)=68 \pm 2(\mathrm{stat})\pm 8(\mathrm{syst})~\mathrm{pb}$, consistent with the Standard Model expectation. The uncertainty on the measured cross sections is dominated by systematic uncertainties, while the uncertainty on $R_{t}$ is mainly statistical. Using the ratio of $\sigma(tq+\bar tq)$ to its theoretical prediction, and assuming that the top-quark-related CKM matrix elements obey the relation $|V_{tb}|\gg |V_{ts}|$, $|V_{td}|$, we determine $|V_{tb}|=1.02 \pm 0.07$.

Table 1

Table I on page 112006-7 of the paper

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Predicted and observed events yields for the 2-jet and 3-jet channels considered in this measurement. The multijet background is estimated...
Table 2

Table III on page 112006-18 of the paper

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Detailed list of the contribution of each source of uncertainty to the total uncertainty on the measured values of $\sigma(tq)$,...
Table 3

Page 112006-19 of the paper

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The cross sections for top-quark and top-antiquark production in the t-channel, together with the cross-section ratio.
Table 4

Table IV on page 112006-20 of the paper

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Parametrization factors for the $m_{t}$ dependence [see Eq. (4) in the paper] of $\sigma(tq)$, $\sigma(\bar tq)$, and $\sigma(t q+\bar t...
Table 5

Page 112006-20 of the paper

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The value of $|V_{tb}|^{2}$ is extracted by dividing the measured value of $\sigma(t q+\bar t q)$ by the prediction of...
Table 6

Table V on page 112006-21 of the paper

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Event yields for the 2-jet-$\ell^{+}$ and 2-jet-$\ell^{-}$ HPR channels. The expectation for the signal and background yields correspond to the...
Table 7

FIG. 14(a) on page 112006-22 of the paper

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Migration matrix relating the parton level $p_{\mathrm{T}}(t)$ shown on the $y$ axis and the reconstruction level $p_{\mathrm{T}}(\ell \nu b)$ shown...
Table 8

FIG. 14(b) on page 112006-22 of the paper

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Migration matrix relating the parton level $p_{\mathrm{T}}(\bar t)$ shown on the $y$ axis and the reconstruction level $p_{\mathrm{T}}(\ell \nu b)$...
Table 9

FIG. 14(c) on page 112006-22 of the paper

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Migration matrix relating the parton level $|y(t)|$ shown on the $y$ axis and the reconstruction level $|y(\ell \nu b)|$ shown...
Table 10

FIG. 14(d) on page 112006-22 of the paper

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Migration matrix relating the parton level $|y(\bar t)|$ shown on the $y$ axis and the reconstruction level $|y(\ell \nu b)|$...
Table 11

Table VI on page 112006-23 of the paper

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Differential t-channel top-quark production cross section as a function of $p_{\mathrm{T}}(t)$ with the uncertainties for each bin given in percent.
Table 12

Table VI on page 112006-23 of the paper

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Differential t-channel top-quark production cross section as a function of $p_{\mathrm{T}}(\bar t)$ with the uncertainties for each bin given in...
Table 13

Table VI on page 112006-23 of the paper

10.17182/hepdata.64385.v2/t13

Differential t-channel top-quark production cross section as a function of $|y(t)|$ with the uncertainties for each bin given in percent.
Table 14

Table VI on page 112006-23 of the paper

10.17182/hepdata.64385.v2/t14

Differential t-channel top-quark production cross section as a function of $|y(\bar t)|$ with the uncertainties for each bin given in...
Table 15

Table VII on page 112006-23 of the paper

10.17182/hepdata.64385.v2/t15

Normalized differential t-channel top-quark production cross section as a function of $p_{\mathrm{T}}(t)$ with the uncertainties for each bin given in...
Table 16

Table VII on page 112006-23 of the paper

10.17182/hepdata.64385.v2/t16

Normalized differential t-channel top-quark production cross section as a function of $p_{\mathrm{T}}(\bar t)$ with the uncertainties for each bin given...
Table 17

Table VII on page 112006-23 of the paper

10.17182/hepdata.64385.v2/t17

Normalized differential t-channel top-quark production cross section as a function of $|y(t)|$ with the uncertainties for each bin given in...
Table 18

Table VII on page 112006-23 of the paper

10.17182/hepdata.64385.v2/t18

Normalized differential t-channel top-quark production cross section as a function of $|y(\bar t)|$ with the uncertainties for each bin given...
Table 19

Table VIII on page 112006-25 of the paper

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Comparison between the measured differential cross sections and the predictions from the NLO calculation using the MSTW2008 PDF set. For...
Table 20

Table IX on page 112006-26 of the paper

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Detailed list of the contribution of each source of uncertainty to the total relative uncertainty on the measured $\dfrac{\mathrm{d}\sigma}{\mathrm{d}p_{\mathrm{T}}(t)}$ distribution...
Table 21

Table X on page 112006-26 of the paper

10.17182/hepdata.64385.v2/t21

Detailed list of the contribution of each source of uncertainty to the total relative uncertainty on the measured $\dfrac{\mathrm{d}\sigma}{\mathrm{d}p_{\mathrm{T}}(\bar t)}$...
Table 22

Table XI on page 112006-27 of the paper

10.17182/hepdata.64385.v2/t22

Detailed list of the contribution of each source of uncertainty to the total relative uncertainty on the measured $\dfrac{\mathrm{d}\sigma}{\mathrm{d}|y(t)|}$ distribution...
Table 23

Table XII on page 112006-27 of the paper

10.17182/hepdata.64385.v2/t23

Detailed list of the contribution of each source of uncertainty to the total relative uncertainty on the measured $\dfrac{\mathrm{d}\sigma}{\mathrm{d}|y(\bar t)|}$...
Table 24

Table XIII on page 112006-28 of the paper

10.17182/hepdata.64385.v2/t24

Detailed list of the contribution of each source of uncertainty to the total relative uncertainty on the measured $\dfrac{1}{\sigma}\dfrac{\mathrm{d}\sigma}{\mathrm{d}p_{\mathrm{T}}(t)}$ distribution...
Table 25

Table XIV on page 112006-28 of the paper

10.17182/hepdata.64385.v2/t25

Detailed list of the contribution of each source of uncertainty to the total relative uncertainty on the measured $\dfrac{1}{\sigma}\dfrac{\mathrm{d}\sigma}{\mathrm{d}p_{\mathrm{T}}(\bar t)}$...
Table 26

Table XV on page 112006-29 of the paper

10.17182/hepdata.64385.v2/t26

Detailed list of the contribution of each source of uncertainty to the total relative uncertainty on the measured $\dfrac{1}{\sigma}\dfrac{\mathrm{d}\sigma}{\mathrm{d}|y(t)|}$ distribution...
Table 27

Table XVI on page 112006-29 of the paper

10.17182/hepdata.64385.v2/t27

Detailed list of the contribution of each source of uncertainty to the total relative uncertainty on the measured $\dfrac{1}{\sigma}\dfrac{\mathrm{d}\sigma}{\mathrm{d}|y(\bar t)|}$...
Table 28

FIG. 17(a) on page 112006-30 of the paper

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Statistical correlation matrices for the differential cross section as a function of $p_{\mathrm{T}}(t)$.
Table 29

FIG. 17(b) on page 112006-30 of the paper

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Statistical correlation matrices for the differential cross section as a function of $p_{\mathrm{T}}(\bar t)$.
Table 30

FIG. 17(c) on page 112006-30 of the paper

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Statistical correlation matrices for the differential cross section as a function of $|y(t)|$.
Table 31

FIG. 17(d) on page 112006-30 of the paper

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Statistical correlation matrices for the differential cross section as a function of $|y(\bar t)|$.
Table 32

FIG. 18(a) on page 112006-31 of the paper

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Statistical correlation matrices for the normalized differential cross section as a function of $p_{\mathrm{T}}(t)$.
Table 33

FIG. 18(b) on page 112006-31 of the paper

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Statistical correlation matrices for the normalized differential cross section as a function of $p_{\mathrm{T}}(\bar t)$.
Table 34

FIG. 18(c) on page 112006-31 of the paper

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Statistical correlation matrices for the normalized differential cross section as a function of $|y(t)|$.
Table 35

FIG. 18(d) on page 112006-31 of the paper

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Statistical correlation matrices for the normalized differential cross section as a function of $|y(\bar t)|$.

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