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Electroweak and QCD corrections to top-pair hadroproduction in association with heavy bosons

We compute the contribution of order $α_S^2α^2$ to the cross section of a top-antitop pair in association with at least one heavy Standard Model boson -- $Z$, $W^\pm$, and Higgs -- by including all effects of QCD, QED, and weak origin and by working in the automated MadGraph5_aMC@NLO framework. This next-to-leading order contribution is then combined with that of order $α_S^3α$, and with the two dominant lowest-order ones, $α_S^2α$ and $α_Sα^2$, to obtain phenomenological results relevant to a 8, 13, and 100~TeV $pp$ collider.