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.

引用

页码：53 / 61

页数：9

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