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The observation of the electroweak production of single-top-quarks is madeusing 255 $\text{pb}^{-1}$ of proton-proton collision data recorded at$\sqrt{s} = 5.02$ TeV with the ATLAS detector at the Large Hadron Collider. Anevent selection is used to identify single-top-quark candidates arising from$t$-channel production with the top quark decaying semi-leptonically. Eventspassing the selection are then used to measure the inclusive cross-section forthe combined production of single-top-quarks and antiquarks, $\sigma({tq +\bar{t}q})$, and the ratio $R_t$ between these two. They are measured to be$\sigma({tq + \bar{t}q}) = 27.1^{+4.4}_{-4.1} (\text{stat.}) ^{+4.4}_{-3.7}(\text{syst.})$ pb and $R_t = 2.73^{+1.43}_{-0.82} (\text{stat.})^{+1.01}_{-0.29} (\text{syst.})$. The individual single-top-quark ($t q$) andsingle-top-antiquark ($\bar{t} q$) production cross-sections are measured to be$\sigma(t q) = 19.8^{+3.9}_{-3.1} (\text{stat.}) ^{+2.9}_{-2.2} (\text{syst.})$pb and $\sigma(\bar{t}q) = 7.3^{+3.2}_{-2.1} (\text{stat.}) ^{+2.8}_{-1.5}(\text{syst.})$ pb. All measurements are in good agreement with the StandardModel predictions.

Measurement of $t$-channel single-top-quark production in $pp$ collisions at $\sqrt{s} = 5.02$ TeV with the ATLAS detector