Weak corrections to Higgs hadroproduction in association with a top-quark pair

Abstract: We present the calculation of the next-to-leading contribution of order α<inf>S</inf><sup>2</sup>α<sup>2</sup> to the production of a Standard Model Higgs boson in association with a top-quark pair at hadron colliders. All effects of weak and QCD origin are included, whereas those of QED origin are ignored. We work in the MadGraph5_aMC@NLO framework, and discuss sample phenomenological applications at a 8, 13, and 100 TeV pp collider, including the effects of the dominant next-to-leading QCD corrections of order α<inf>S</inf><sup>3</sup>α