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

Understand

We present a calculation of the next-to-leading order QCD corrections to the production of Higgs boson pairs in gluon fusion keeping the full dependence on the mass of the top quark.

• The virtual corrections, involving two-loop integrals with up to four mass scales, have been calculated numerically and we present an efficient algorithm to obtain accurate results of the virtual amplitude using numerical integrations.
• Taking the top quark mass into account we obtain significant differences compared to results obtained in the heavy top limit.