On the reduction of generalized polylogarithms to Lin and Li2,2 and on the evaluation thereof

被引：51
作者：
Frellesvig, Hjalte [1 ]
Tommasini, Damiano [1 ]
Wever, Christopher [1 ,2 ,3 ]
机构：
[1] NCSR Demokritos, Inst Nucl & Particle Phys, Patriarchou Gregoriou E & Neapoleos St 27, Aghia Paraskevi 15310, Greece
[2] Karlsruhe Inst Technol, Inst Theoret Particle Phys TTP, Engesserstr 7, D-76128 Karlsruhe, Germany
[3] Karlsruhe Inst Technol, Inst Nucl Phys IKP, Hermann von Helmholtz Pl 1, D-76344 Eggenstein Leopoldshafen, Germany
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2016年 / 03期
关键词：
NLO Computations; HYPERGEOMETRIC-FUNCTIONS; NUMERICAL EVALUATION; MASTER INTEGRALS; MULTIPLE; EXPANSION;
D O I：
10.1007/JHEP03(2016)189
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 give expressions for all generalized polylogarithms up to weight four in terms of the functions log, Li-n, and Li-2,Li-2, valid for arbitrary complex variables. Furthermore we provide algorithms for manipulation and numerical evaluation of Li-n and Li-2,Li-2, and add codes in Mathematica and C++ implementing the results. With these results we calculate a number of previously unknown integrals, which we add in appendix C.
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页数：36
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