  We present the Higgs Characterisation (HC) framework to study the properties
of the Higgs boson observed at 125 GeV. In this report, we focus on CP
properties of the top-quark Yukawa interaction, and show predictions at
next-to-leading order accuracy in QCD, including parton-shower effects, for
Higgs production in association with a single top quark at the LHC.
