N$^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution

Understand

In this paper, we study phenomenologically interesting soft radiation distributions in massless QCD.

• Specifically, we consider the emission of two soft partons off of a pair of light-like Wilson lines, in either the fundamental or the adjoint representation, at next-to-leading order.
• Our results are an essential component of the next-to-next-to-next-to-leading order threshold corrections to both Higgs boson production in the gluon fusion channel and Drell-Yan lepton production.
• Our calculations are consistent with the recently published results for Higgs boson production.