The complete three-loop unpolarized and polarized massive operator matrix elements and asymptotic Wilson coefficients

TL;DR

This paper presents the complete calculation of three-loop unpolarized and polarized massive operator matrix elements and Wilson coefficients, including corrections and numerical tools, advancing precision in QCD analyses for high-energy physics.

Contribution

It provides the full three-loop results for massive operator matrix elements and Wilson coefficients, including single- and two-mass corrections, with numerical implementations for QCD fits.

Findings

Complete three-loop unpolarized and polarized massive operator matrix elements.

Numerical representations of massless Wilson coefficients and splitting functions.

Enhanced tools for QCD fitting and high-precision calculations.

Abstract

We report on the three-loop unpolarized and polarized massive operator matrix elements, with single- and two-mass corrections, and the associated deep-inelastic massive Wilson coefficients in the region $Q^2 \gg m_Q^2$, the calculation of which has been completed recently. We also provide fast and precise numerical representations of the massless Wilson coefficients, splitting functions to tree-loop order, and target-mass corrections in $x$-space well suited for QCD-fitting codes.