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Computations at next-to-leading order in the Standard Model offer new technical challenges in the presence of higher dimensional operators. We introduce a framework that, starting from the top-quark effective field theory at dimension six, allows one to make predictions for cross sections as well as distributions in a fully automatic way. As an application, we present the first complete results at next-toleading order in QCD for flavor-changing neutral interactions including parton shower effects, for tZ, th, tγ associated production at the LHC. [ABSTRACT FROM AUTHOR]