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Higgs-pair production via gluon fusion is the dominant production mechanismof Higgs-boson pairs at hadron colliders. In this work, we present details ofour numerical determination of the full next-to-leading-order (NLO) QCDcorrections to the leading top-quark loops. Since gluon fusion is aloop-induced process at leading order, the NLO calculation requires thecalculation of massive two-loop diagrams with up to four different mass/energyscales involved. With the current methods, this can only be done numerically,if no approximations are used. We discuss the setup and details of ournumerical integration. This will be followed by a phenomenological analysis ofthe NLO corrections and their impact on the total cross section and theinvariant Higgs-pair mass distribution. The last part of our work will bedevoted to the determination of the residual theoretical uncertainties withspecial emphasis on the uncertainties originating from the scheme and scaledependence of the (virtual) top mass. The impact of the trilinearHiggs-coupling variation on the total cross section will be discussed.

Higgs-Pair Production via Gluon Fusion at Hadron Colliders: NLO QCD Corrections