Calculating Four-Loop Corrections in QCD

Abstract

We review the current status of perturbative corrections in QCD at four loops for scattering processes with space- and time-like kinematics at colliders, with specific focus on deep-inelastic scattering and electron-positron annihilation. The calculations build on the parametric reduction of loop and phase space integrals up to four-loop order using computer algebra programs such as FORM, designed for large scale computations.

13 pages LaTeX, 2 figures; based on the talk given by S.Moch at the DESY workshop "Antidifferentiation and the Calculation of Feynman Amplitudes", Zeuthen, Oct 04-09, 2020