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Towards ggto HH at next-to-next-to-leading order: light-fermionic three-loop corrections

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arxiv 2307.04796 v2 pith:MHESFV6Z submitted 2023-07-10 hep-ph

Towards $gg\to HH$ at next-to-next-to-leading order: light-fermionic three-loop corrections

Joshua Davies , Kay Sch\"onwald , Matthias Steinhauser This is my paper
classification hep-ph
keywords correctionsnext-to-next-to-leadingorderthree-loopapproachbosonchallengescompute
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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