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We report on the complete three-loop corrections to the Higgs-gluon formfactor in QCD. While previous calculations are based on QCD with a single heavyquark of arbitrary mass, we extend the study to QCD involving two differentmassive quark flavors. Thereby, the full set of possible Feynman diagrams atthree-loop order is taken into account. Employing differential equations forthe relevant master integrals, we determine the form factor in terms ofanalytic expansions. Outside the radii of convergence, we computehigh-precision numerical samples over the two-dimensional physical parameterspace. Our new findings will enter as virtual corrections the computation ofthe top-bottom interference in hadronic Higgs-boson production atnext-to-next-to-leading order (NNLO) in QCD.

The Higgs-gluon form factor at three loops in QCD with three mass scales