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We compute the contribution of order $\alpha_S^2\alpha^2$ to the crosssection of a top-antitop pair in association with at least one heavy StandardModel 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$\alpha_S^3\alpha$, and with the two dominant lowest-order ones,$\alpha_S^2\alpha$ and $\alpha_S\alpha^2$, to obtain phenomenological resultsrelevant to a 8, 13, and 100~TeV $pp$ collider.

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