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

This article presents measurements of the $t$-channel single top-quark ($t$) and top-antiquark ($\bar{t}$) total production cross sections $\sigma (tq)$ and $\sigma (\bar{t}q)$, their ratio $R_t=\sigma (tq)\mathrm{/}\sigma (\bar{t}q)$. Differential cross sections for the $\sigma (tq)$ and $\sigma (\bar{t}q)$ processes are measured as a function of the transverse momentum and the absolute value of the rapidity of ($t$) and ($\bar{t}$), respectively. The analysed data set was recorded with the ATLAS detector and corresponds to an integrated luminosity of 4.59 fb${}^{-1}$. The cross sections are measured by performing a binned maximum-likelihood fit to the output distributions of neural networks. The resulting measurements are $\sigma (tq)=46\pm 6$ pb, $\sigma(\bar{t}q)=23 \pm 4$pb,$R_t=2.04 \pm 0.18$, consistent with the Standard Model expectation.