TL;DR
This paper discusses ongoing efforts to compute next-to-next-to-next-to-next-to-leading order (N4LO) QCD corrections to deep inelastic scattering (DIS) cross-sections, using differential equations and series expansion methods.
Contribution
It introduces a novel approach combining differential equations and series expansion to calculate high-order QCD corrections for DIS processes.
Findings
Development of a method for N4LO corrections
Potential to obtain four-loop splitting functions
Progress towards precise theoretical predictions
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.
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