Heavy quark form factors at three loops in the planar limit

被引：25

作者：

Ablinger, J. ^{[1
]}

Bluemlein, J. ^{[2
]}

Marquard, P. ^{[2
]}

Rana, N. ^{[2
]}

Schneider, C. ^{[1
]}

机构：

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

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

来源：

PHYSICS LETTERS B | 2018年 / 782卷

基金：

奥地利科学基金会;

关键词：

2-LOOP QCD CORRECTIONS; OPERATOR MATRIX-ELEMENTS; DIFFERENTIAL-EQUATIONS; HARMONIC SUMS; FEYNMAN;

D O I：

10.1016/j.physletb.2018.05.077

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We compute the color-planar and complete light quark non-singlet contributions to the heavy quark form factors in the case of the axialvector, scalar and pseudoscalar currents at three loops in perturbative QCD. We evaluate the master integrals applying a new method based on differential equations for general bases, which is applicable for all first order factorizing systems. The analytic results are expressed in terms of harmonic polylogarithms and real-valued cyclotomic harmonic polylogarithms. (C) 2018 The Author(s). Published by Elsevier B.V.

引用

页码：528 / 532

页数：5

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