Calculating Four-Loop Corrections in QCD

TL;DR

This paper reviews the progress in calculating four-loop perturbative corrections in QCD for collider processes, emphasizing computational techniques and recent results in deep-inelastic scattering and electron-positron annihilation.

Contribution

It provides a comprehensive overview of four-loop QCD corrections and the computational methods used to obtain them, highlighting recent advancements.

Findings

Four-loop corrections have been computed for key collider processes.

Advanced computer algebra tools like FORM facilitate large-scale calculations.

Progress enhances precision in QCD predictions for collider experiments.

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.