The three-loop single-mass heavy flavor corrections to deep-inelastic scattering

TL;DR

This paper presents the latest calculations of three-loop heavy flavor corrections to deep-inelastic scattering, including unpolarized and polarized cases, with numerical results for structure functions and scheme considerations.

Contribution

It provides the first comprehensive three-loop calculations of massive Wilson coefficients and operator matrix elements for deep-inelastic scattering, covering both unpolarized and polarized cases.

Findings

Numerical results for the structure function F2(x,Q^2) are provided.

All single-mass and nearly all two-mass contributions are calculated.

Results on the three-loop variable flavor number scheme are included.

Abstract

We report on the status of the calculation of the massive Wilson coefficients and operator matrix elements for deep-inelastic scatterung to three-loop order. We discuss both the unpolarized and the polarized case, for which all the single-mass and nearly all two-mass contributions have been calculated. Numerical results on the structure function $F_2(x,Q^2)$ are presented. In the polarized case, we work in the Larin scheme and refer to parton distribution functions in this scheme. Furthermore, results on the three-loop variable flavor number scheme are presented