Towards DIS at N4LO

Abstract

We will report on an ongoing effort towards calculating the N4LO perturbative QCD corrections to the DIS total inclusive cross-section. We are developing a method based on differential equations and series expansion in the inverse Bjorken parameter. As a byproduct our calculation should also deliver analytic or at least precise numerical approximations for the four-loop splitting functions.

Comments: Contribution to the proceedings (SciPost) of `DIS 2021', Virtual Event @ Stony Brook University, Stony Brook, NY, April 12-16, 2021