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Comprehensive measurements of $t$-channel single top-quark production cross sections at $\sqrt{s} = 7$ TeV with the ATLAS detector

The collaboration
Phys.Rev.D 90 (2014) 112006, 2014.

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

10.17182/hepdata.64385.v2/t1

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

10.17182/hepdata.64385.v2/t2

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

10.17182/hepdata.64385.v2/t3

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

10.17182/hepdata.64385.v2/t4

Parametrization factors for the $m_{t}$ dependence [see Eq. (4) in the paper] of $\sigma(tq)$, $\sigma(\bar tq)$, and $\sigma(t q+\bar t... • Table 5 Page 112006-20 of the paper 10.17182/hepdata.64385.v2/t5 The value of$|V_{tb}|^{2}$is extracted by dividing the measured value of$\sigma(t q+\bar t q)$by the prediction of... • Table 6 Table V on page 112006-21 of the paper 10.17182/hepdata.64385.v2/t6 Event yields for the 2-jet-$\ell^{+}$and 2-jet-$\ell^{-}$HPR channels. The expectation for the signal and background yields correspond to the... • Table 7 FIG. 14(a) on page 112006-22 of the paper 10.17182/hepdata.64385.v2/t7 Migration matrix relating the parton level$p_{\mathrm{T}}(t)$shown on the$y$axis and the reconstruction level$p_{\mathrm{T}}(\ell \nu b)$shown... • Table 8 FIG. 14(b) on page 112006-22 of the paper 10.17182/hepdata.64385.v2/t8 Migration matrix relating the parton level$p_{\mathrm{T}}(\bar t)$shown on the$y$axis and the reconstruction level$p_{\mathrm{T}}(\ell \nu b)$... • Table 9 FIG. 14(c) on page 112006-22 of the paper 10.17182/hepdata.64385.v2/t9 Migration matrix relating the parton level$|y(t)|$shown on the$y$axis and the reconstruction level$|y(\ell \nu b)|$shown... • Table 10 FIG. 14(d) on page 112006-22 of the paper 10.17182/hepdata.64385.v2/t10 Migration matrix relating the parton level$|y(\bar t)|$shown on the$y$axis and the reconstruction level$|y(\ell \nu b)|$... • Table 11 Table VI on page 112006-23 of the paper 10.17182/hepdata.64385.v2/t11 Differential t-channel top-quark production cross section as a function of$p_{\mathrm{T}}(t)$with the uncertainties for each bin given in percent. • Table 12 Table VI on page 112006-23 of the paper 10.17182/hepdata.64385.v2/t12 Differential t-channel top-quark production cross section as a function of$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)|$with the uncertainties for each bin given... • Table 19 Table VIII on page 112006-25 of the paper 10.17182/hepdata.64385.v2/t19 Comparison between the measured differential cross sections and the predictions from the NLO calculation using the MSTW2008 PDF set. For... • Table 20 Table IX on page 112006-26 of the paper 10.17182/hepdata.64385.v2/t20 Detailed list of the contribution of each source of uncertainty to the total relative uncertainty on the measured$\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)|}$... • Table 28 FIG. 17(a) on page 112006-30 of the paper 10.17182/hepdata.64385.v2/t28 Statistical correlation matrices for the differential cross section as a function of$p_{\mathrm{T}}(t)$. • Table 29 FIG. 17(b) on page 112006-30 of the paper 10.17182/hepdata.64385.v2/t29 Statistical correlation matrices for the differential cross section as a function of$p_{\mathrm{T}}(\bar t)$. • Table 30 FIG. 17(c) on page 112006-30 of the paper 10.17182/hepdata.64385.v2/t30 Statistical correlation matrices for the differential cross section as a function of$|y(t)|$. • Table 31 FIG. 17(d) on page 112006-30 of the paper 10.17182/hepdata.64385.v2/t31 Statistical correlation matrices for the differential cross section as a function of$|y(\bar t)|$. • Table 32 FIG. 18(a) on page 112006-31 of the paper 10.17182/hepdata.64385.v2/t32 Statistical correlation matrices for the normalized differential cross section as a function of$p_{\mathrm{T}}(t)$. • Table 33 FIG. 18(b) on page 112006-31 of the paper 10.17182/hepdata.64385.v2/t33 Statistical correlation matrices for the normalized differential cross section as a function of$p_{\mathrm{T}}(\bar t)$. • Table 34 FIG. 18(c) on page 112006-31 of the paper 10.17182/hepdata.64385.v2/t34 Statistical correlation matrices for the normalized differential cross section as a function of$|y(t)|$. • Table 35 FIG. 18(d) on page 112006-31 of the paper 10.17182/hepdata.64385.v2/t35 Statistical correlation matrices for the normalized differential cross section as a function of$|y(\bar t)|\$.

Version 2 modifications: Detailed tables of uncertainties and statistical correlation matrices have been added.