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We provide a comprehensive discussion, together with a complete setup forsimulations, relevant for the production of a single vector-like quark athadron colliders. Our predictions include finite width effects,signal-background interference effects and next-to-leading order QCDcorrections. We explicitly apply the framework to study the single productionof a vector-like quark $T$ with charge 2/3, but the same procedure can be usedto analyse the single production of vector-like quarks with charge $-4/3$,$-1/3$, $2/3$ and $5/3$, when the vector-like quark interacts with the StandardModel quarks and electroweak bosons. Moreover, this procedure can bestraightforwardly extended to include additional interactions with exoticparticles. We provide quantitative results for representative benchmarkscenarios characterised by the $T$ mass and width, and we determine the role ofthe interference terms for a range of masses and widths of phenomenologicalsignificance. We additionally describe in detail, both analytically andnumerically, a striking feature in the invariant mass distribution appearingonly in the $T \to th$ channel.

Single production of vector-like quarks: the effects of large width, interference and NLO corrections