Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering

TL;DR

This paper discusses recent advances in calculating three-loop heavy flavor Wilson coefficients in deep-inelastic scattering, focusing on new computational methods and resulting operator matrix elements.

Contribution

It introduces novel computational techniques that enabled the calculation of new three-loop operator matrix elements and Wilson coefficients in the asymptotic region.

Findings

Calculation of new operator matrix elements

Determination of flavor non-singlet Wilson coefficients

Determination of pure singlet Wilson coefficients

Abstract

We report on our latest results in the calculation of the three-loop heavy flavor contributions to the Wilson coefficients in deep-inelastic scattering in the asymptotic region $Q^2 \gg m^2$. We discuss the different methods used to compute the required operator matrix elements and the corresponding Feynman integrals. These methods very recently allowed us to obtain a series of new operator matrix elements and Wilson coefficients like the flavor non-singlet and pure singlet Wilson coefficients.