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

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Authors: Jakob Ablinger, Arnd Behring, Johannes Blümlein A, A. Freitas, Andreas von Manteuffel, C. Schneider, K. Schönwald
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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.

Fields of Study & Subjects

Quantum Chromodynamics and Particle Interactions Particle physics theoretical and experimental studies High-Energy Particle Collisions Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
10 February 2026
Language
EN
Document type
Preprint