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September 10, 2025Open Access

Three-loop large-Nc virtual corrections to gg → HH in the forward limit

JDJoshua DaviesUniversité Paris-Sud KSKay SchönwaldKarlsruhe Institute of Technology MSMatthias SteinhauserKarlsruhe Institute of Technology

Key Points

The computed three-loop form factors provide a good approximation of the cross section for gg → HH.
The study focuses on contributions from one closed top quark loop, including complex non-planar Feynman diagrams.
Top quark mass dependence is analyzed in both pole and MS schemes with reduced scheme dependence observed.
Calculations performed within the large-Nc limit yield relevant insights into Higgs boson interactions.

Abstract

A bstract 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- N c limit and restrict ourselves to the contributions with one closed top quark loop, which already includes non-trivial non-planar Feynman diagrams. We discuss the results for top quark masses in the pole and MS MS ¯ schemes and show that the scheme dependence is significantly reduced at next-to-next-to-leading order.

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