We compute the three-loop form factors for gg→HH in the limit of vanishing transverse momentum of the Higgs boson which provides a reasonable approximation of the cross section. In our calculations we adopt the large-Nc limit, which already includes non-trivial non-planar Feynman diagrams. We discuss the results for top quark masses in the pole and MS schemes and show that the scheme dependence is significantly reduced at next-to-next-to-leading order.
@article{arxiv.2503.17449,
title = {Three-loop large-$N_c$ virtual corrections to $gg\to HH$ in the forward limit},
author = {Joshua Davies and Kay Schönwald and Matthias Steinhauser},
journal= {arXiv preprint arXiv:2503.17449},
year = {2025}
}