Heavy flavor operator matrix elements at $O(a_s^3)$

TL;DR

This paper presents the first NNLO fixed moment results for heavy flavor operator matrix elements in deep-inelastic scattering, confirming previous NNLO anomalous dimensions and advancing theoretical precision in QCD calculations.

Contribution

It provides the initial NNLO fixed moment calculations for heavy flavor operator matrix elements, extending beyond the known NLO results and confirming existing anomalous dimensions.

Findings

Confirmed NNLO anomalous dimensions through recalculation

Provided first NNLO fixed moment results for heavy flavor matrix elements

Enhanced theoretical accuracy in heavy quark effects in deep-inelastic scattering

Abstract

The heavy quark effects in deep--inelastic scattering in the asymptotic regime $Q^2 \gg m^2$ can be described by heavy flavor operator matrix elements. Complete analytic expressions for these objects are currently known to ${\sf NLO}$. We present first results for fixed moments at ${\sf NNLO}$. This involves a recalculation of fixed moments of the corresponding ${\sf NNLO}$ anomalous dimensions, which we thereby confirm.