Speaker
Description
We present recent progress toward the inclusive gluon-fusion Higgs-boson and Drell–Yan cross sections at next-to-next-to-next-to-next-to-leading order (N4LO) in perturbative QCD. Our main results concern the single-real contributions, involving three QCD partons together with a Higgs boson or virtual photon. These comprise the interference of one- and two-loop amplitudes and, in the generalized leading-color limit, the interference of tree-level and three-loop amplitudes. The results are expressed as Laurent expansions in the dimensional regulator ($\epsilon$), with coefficients given by analytic functions of the ratio of the color-singlet invariant mass to the partonic center-of-mass energy.
We also discuss recent progress on the double-real-emission contributions in the strict threshold limit, providing further ingredients toward a complete N4LO prediction. Beyond their phenomenological relevance, these calculations offer a laboratory for studying analytic complexity that arises at high perturbative order.