Recent 3-Loop Heavy Flavor Corrections to Deep-Inelastic Scattering

TL;DR

This paper discusses recent advances in calculating three-loop quantum chromodynamics corrections for heavy flavor contributions in deep-inelastic scattering, introducing new computational methods for operator matrix elements.

Contribution

It presents the calculation of specific three-loop operator matrix elements and introduces a novel method for inverse Mellin transforms without N-space expressions.

Findings

Successful calculation of $A_{gg,Q}^{(3)}$ and $A_{Qg}^{(3)}$

Development of a new inverse Mellin transform method

Enhanced understanding of heavy flavor corrections in QCD

Abstract

We report on recent progress in calculating the three loop QCD corrections of the heavy flavor contributions in deep--inelastic scattering and the massive operator matrix elements of the variable flavor number scheme. Notably we deal with the operator matrix elements $A_{gg,Q}^{(3)}$ and $A_{Qg}^{(3)}$ and technical steps to their calculation. In particular, a new method to obtain the inverse Mellin transform without computing the corresponding $N$--space expressions is discussed.