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We present a calculation of the next-to-leading order QCD corrections to theproduction of Higgs boson pairs in gluon fusion keeping the full dependence onthe mass of the top quark. The virtual corrections, involving two-loopintegrals with up to four mass scales, have been calculated numerically and wepresent an efficient algorithm to obtain accurate results of the virtualamplitude using numerical integrations. Taking the top quark mass into accountwe obtain significant differences compared to results obtained in the heavy toplimit.

Next-to-Leading Order Corrections to Higgs Boson Pair Production in Gluon Fusion