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A comprehensive review of the recent results on measurements of singletop-quark production cross-sections at $\sqrt{s} =$ 7, 8 and 13 TeV performedby the ATLAS and CMS Collaborations is presented. The cross-sectionmeasurements include inclusive, fiducial and differential results. In addition,the latest measurements, based on angular distributions in $t$-channelsingle-top-quark processes, of the top-quark polarisation and $W$ boson spinobservables at $\sqrt{s} =$ 8 TeV, and the analyses of the $Wtb$ vertex at$\sqrt{s} =$ 7 and 8 TeV are also discussed. All measurements are in goodagreement with predictions and no deviations from Standard Model expectationshave been observed so far.

SM and BSM physics in single top quark at the LHC