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In a recent work the authors have presented a general algorithm to extend theMatrix Element Method (MEM) to the hadronic production of coloured partonstaking into account next-to-leading-order (NLO) corrections in quantumchromodynamics (QCD). In this article, the general algorithm is applied to theproduction of single top quarks at the LHC. In particular, the generation ofunweighted events following the NLO predictions is presented. Treating theseevents as the result of a toy experiment we illustrate the first application ofthe Matrix Element Method at NLO QCD for hadronic jet production. As a concreteexample, we study the determination of the top-quark mass. We show that theinclusion of the NLO corrections can lead to sizeable effects compared to theMatrix Element Method relying on leading-order predictions only and that theincorporation of the NLO corrections is mandatory to obtain reliable estimatesof the theoretical uncertainties. In addition, we find that measuring thetop-quark mass using the MEM in single top-quark production offers aninteresting alternative to mass measurements in top-quark pair production.

The Matrix Element Method at next-to-leading order QCD for hadronic collisions: Single top-quark production at the LHC as an example application