The two-loop massless off-shell QCD operator matrix elements to finite terms

被引：2

作者：

Bluemlein, J. ^{[1
]}

Marquard, P. ^{[1
]}

Schneider, C. ^{[2
]}

Schoenwald, K. ^{[3
]}

机构：

[1] Deutsch Elektronen Synchrotron DESY, Platanenallee 6, D-15738 Zeuthen, Germany

[2] Johannes Kepler Univ Linz, Res Inst Symbol Computat RISC, Altenbergerstr 69, A-4040 Linz, Austria

[3] Karlsruher Inst Technol KIT, Inst Theoret Teilchenphys, D-76128 Karlsruhe, Germany

来源：

NUCLEAR PHYSICS B | 2022年 / 980卷

基金：

奥地利科学基金会;

关键词：

DEEP-INELASTIC-SCATTERING; HEAVY FLAVOR CONTRIBUTIONS; 3-LOOP SPLITTING FUNCTIONS; STRUCTURE-FUNCTION F-2(X; LINEAR DIFFERENCE-EQUATIONS; ASYMPTOTIC VALUES Q(2); FREE GAUGE-THEORIES; ANOMALOUS DIMENSIONS; HARMONIC SUMS; 2ND-ORDER CONTRIBUTIONS;

D O I：

10.1016/j.nuclphysb.2022.115794

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We calculate the unpolarized and polarized two-loop massless off-shell operator matrix elements in QCD to O (epsilon) in the dimensional parameter in an automated way. Here we use the method of arbitrary high Mellin moments and difference ring theory, based on integration-by-parts relations. This method also constitutes one way to compute the QCD anomalous dimensions. The presented higher order contributions to these operator matrix elements occur as building blocks in the corresponding higher order calculations up to four-loop order. All contributing quantities can be expressed in terms of harmonic sums in Mellin-N space or by harmonic polylogarithms in z-space. We also perform comparisons to the literature. (C) 2022 The Author(s). Published by Elsevier B.V.

引用

页数：131

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