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Single top-quark production offers a unique laboratory for precision tests ofthe Standard Model and searches of possible extensions. Furthermore, assumingthe Standard Model, single top-quark production can be used to determinetop-quark related couplings. For precise determinations of parameters like theelectroweak gauge couplings or the mass of the top quark, efficient, unbiased,and theoretically unambiguous analysis methods are needed. Within this context,the Matrix Element Method (MEM) has been established in hadron collideranalyses due to its possibility to top out at utilising the informationavailable in experimental data. However, so far it has mostly been applied inBorn approximation only. We discuss the extension to next-to-leading order(NLO) accuracy. As a necessary prerequisite we introduce an efficient method tocalculate NLO QCD weights for jet events. As proof of concept andrepresentative example we use the MEM at NLO to reproduce the top-quark mass ina toy experiment where we treat single top-quark events generated at NLOaccuracy as pseudo-data. This is the first application of the MEM at NLOaccuracy to the hadronic production of jets originating from coloured finalstate partons. We observe that analysing NLO events with Born likelihoods canintroduce a pronounced bias in the extracted mass which would requiresignificant calibration with associated uncertainties. Although we focus onparameter determinations, the methods presented here can also be used to searchfor new physics using likelihood ratios.

Single top-quark production with the Matrix Element Method in next-to-leading order accuracy