New Results on the 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering

TL;DR

This paper presents recent advances in calculating three-loop heavy flavor corrections in deep-inelastic scattering, including new operator matrix elements and Wilson coefficients, enhancing theoretical precision for high-energy physics analyses.

Contribution

The paper introduces new three-loop massive Wilson coefficients and operator matrix elements for deep-inelastic scattering at general N, expanding the theoretical understanding of heavy flavor effects.

Findings

Four new massive operator matrix elements and Wilson coefficients obtained.

Results on Feynman graphs with two-massive fermion lines discussed.

Complete results for bubble topologies across processes provided.

Abstract

We report on recent progress in the calculation of the 3-loop massive Wilson coefficients in deep-inelastic scattering at general values of $N$ for neutral and charged current reactions in the asymptotic region $Q^2 \gg m^2$. Four new out of eight massive operator matrix elements and Wilson coefficients have been obtained recently. We also discuss recent results on Feynman graphs containing two-massive fermion lines and present complete results for the bubble topologies for all processes.