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
收藏
页码：528 / 532
页数：5
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