Comprehensive measurements of t-channel single top-quark production cross sections at √s=7  TeV with the ATLAS detector

This article presents measurements of the t-channel single top-quark (t) and top-antiquark (¯t) total
production cross sections σðtqÞ and σð¯tqÞ, their ratio Rt ¼ σðtqÞ=σð¯tqÞ, and a measurement of the inclusive production cross section σðtq þ ¯tqÞ in proton-proton collisions at √s = 7 TeV at the LHC. Differential cross sections for the tq and ¯tq processes are measured as a function of the transverse momentum and the absolute value of the rapidity of t and ¯t, respectively. The analyzed data set was recorded with the ATLAS detector and corresponds to an integrated luminosity of 4.59 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 σðtqÞ ¼ 46 1ðstatÞ 6ðsystÞ pb, σð¯tqÞ ¼ 23 1ðstatÞ 3ðsystÞ pb, Rt ¼ 2.04 0.13ðstatÞ 0.12ðsystÞ, and σðtq þ ¯tqÞ ¼ 68 2ðstatÞ 8ðsystÞ pb, consistent with the Standard Model expectation. The uncertainty on the measured cross sections is dominated by systematic uncertainties, while the uncertainty on Rt is mainly statistical. Using the ratio of σðtq þ ¯tqÞ to its theoretical prediction, and assuming that the top-quark-related CKM matrix elements obey the relation jVtbj ≫ jVtsj; jVtdj, we determine jVtbj ¼ 1.02 0.07.