One-loop QCD contributions to differential cross-sections for Higgs production at N$^3$LO

Understand

We present one-loop contributions to the fully differential Higgs boson gluon-fusion cross-section for Higgs production via gluon fusion.

• Our results constitute a necessary ingredient of a complete N$^3$LO determination of the cross-section.
• We perform our computation using a subtraction method for the treatment of soft and collinear singularities.
• We identify the infrared divergent parts in terms of universal splitting and eikonal functions, and demonstrate how phase-space integrations yield poles (up to $1/\epsilon^6$ ) in the dimensional regulator $\epsilon=(4-d)/2$.