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Towards $gg\to HH$ at next-to-next-to-leading order: light-fermionic three-loop corrections
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abstract
We consider light-fermion three-loop corrections to $gg\to HH$ using forward scattering kinematics in the limit of a vanishing Higgs boson mass, which covers a large part of the physical phase space. We compute the form factors and discuss the technical challenges. The approach outlined in this letter can be used to obtain the full virtual corrections to $gg\to HH$ at next-to-next-to-leading order.
Forward citations
Cited by 2 Pith papers
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Fully differential Higgs boson pair production at N$^3$LO with top quark mass effects
First fully differential N3LO QCD predictions for gg->hh in the heavy-top limit, with NLO top-mass effects added; heavy-top scale uncertainty shrinks about 3x, to roughly 1-3%.
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The structure of quark mass corrections in the $gg \rightarrow HH$ amplitude at high-energy
The leading-power mass logarithms in high-energy gg to HH are shown to originate solely from top-quark mass renormalization, enabling a resummation that sharply reduces the mass-scheme uncertainty of the virtual amplitude.
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