Analytic continuation of the harmonic sums for the 3-loop anomalous dimensions

被引：57
|
作者：
Blümlein, J [1 ]
Moch, SO [1 ]
机构：
[1] Deutsch Elektron Synchtron, DESY, D-15735 Zeuthen, Germany
来源：
PHYSICS LETTERS B | 2005年 / 614卷 / 1-2期
关键词：
D O I：
10.1016/j.physletb.2005.03.073
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We present for numerical use the analytic continuations to complex arguments of those basic Mellin transforms, which build the harmonic sums contributing to the 3-loop anomalous dimensions. Eight new basic functions contribute in addition to the analytic continuations for the 2-loop massless Wilson coefficients calculated previously. The representations derived have a relative accuracy of better than 10(-7) in the range x epsilon [10(-6), 0.98]. (c) 2005 Elsevier B.V. All rights reserved.
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页码：53 / 61
页数：9
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