The three-loop splitting functions Pqg(2) qgand Pgg(2, NF)

被引：45

作者：

Ablinger, J. ^{[1
]}

Behring, A. ^{[2
,3
]}

Bluemlein, J. ^{[2
]}

De Freitas, A. ^{[2
]}

von Manteuffel, A. ^{[4
]}

Schneider, C. ^{[1
]}

机构：

[1] Johannes Kepler Univ Linz, RISC, Altenbergerstr 69, A-4040 Linz, Austria

[2] DESY, Deutsches Elekt Synchrotron, Platanenallee 6, D-15738 Zeuthen, Germany

[3] Rhein Westfal TH Aachen, Inst Theoret Teilchenphys & Kosmol, D-52056 Aachen, Germany

[4] Michigan State Univ, Dept Phys & Astron, E Lansing, MI 48824 USA

来源：

NUCLEAR PHYSICS B | 2017年 / 922卷

基金：

奥地利科学基金会;

关键词：

OPERATOR MATRIX-ELEMENTS; DEEP-INELASTIC-SCATTERING; MAXIMAL TRANSCENDENTALITY CALCULATION; SINGLET TRANSVERSITY OPERATOR; LINEAR DIFFERENCE-EQUATIONS; HEAVY FLAVOR CONTRIBUTIONS; STRUCTURE-FUNCTION F-2(X; ASYMPTOTIC VALUES Q(2); ANOMALOUS DIMENSIONS; FEYNMAN-INTEGRALS;

D O I：

10.1016/j.nuclphysb.2017.06.004

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 twist-2 three-loop splitting functions P-qg((2))(x) and P-gg((2, NF))(x) and the associated anomalous dimensions using massive three-loop operator matrix elements. While we calculate P-gg((2, NF))(x) directly, P-qg((2)) (x) is computed from 1200 even moments, without any structural prejudice, using a hierarchy of recurrences obtained for the corresponding operator matrix element. The largest recurrence to be solved is of order 12 and degree 191. We confirm results in the foregoing literature. (C) 2017 The Author(s). Published by Elsevier B.V.

引用

页码：1 / 40

页数：40

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