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.