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

TL;DR

This paper calculates light-fermion three-loop corrections to Higgs pair production via gluon fusion at NNLO, using forward scattering kinematics and massless Higgs approximation, advancing precision in theoretical predictions.

Contribution

It introduces a method to compute the full virtual NNLO corrections for $gg\to HH$ by focusing on light-fermion three-loop effects in a specific kinematic limit.

Findings

Computed form factors for light-fermion three-loop corrections.

Discussed technical challenges in the calculation.

Outlined a method applicable to full NNLO virtual corrections.

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.