Single top quark production cross-section measurements using the ATLAS and CMS detectors at the LHC

Measurements of single top quark production in proton--proton collisions at 7 and 8 TeV using the ATLAS and CMS detectors at the LHC are presented. In the leading order process, a $W$ boson is exchanged in the $t$-channel. The single top quark and anti-top total production cross-sections ratio, as well as a measurement of the inclusive and fiducial production cross-sections are presented. In addition, a measurement of the production cross-section of a single top quark in association with a $W$ boson is presented. All measurements are compared to state-of-the-art theoretical calculations and the CKM matrix element $|V_{tb}|$ is determined. The $s$-channel production is also explored and limits on exotic production in single top quark processes are discussed. This includes the search for additional $W’$ bosons and a search for monotops.