The kite integral to all orders in terms of elliptic polylogarithms

被引：93

作者：

Adams, Luise ^{[1
]}

Bogner, Christian ^{[2
]}

Schweitzer, Armin ^{[2
]}

Weinzierl, Stefan ^{[1
]}

机构：

[1] Johannes Gutenberg Univ Mainz, Inst Phys, PRISMA Cluster Excellence, D-55099 Mainz, Germany

[2] Humboldt Univ, Inst Phys, D-10099 Berlin, Germany

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2016年 / 57卷 / 12期

关键词：

DIFFERENTIAL-EQUATIONS; TRANSCENDENTAL FUNCTIONS; FEYNMAN DIAGRAMS; SUNRISE GRAPH; MULTILOOP INTEGRALS; AMPLITUDES; EXPANSION; TOPOLOGIES; MASSES; SPACE;

D O I：

10.1063/1.4969060

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the Laurent series of the two-loop kite integral in D = 4 - 2 epsilon space-time dimensions can be expressed in each order of the series expansion in terms of elliptic generalisations of (multiple) polylogarithms. Using differential equations, we present an iterative method to compute any desired order. As an example, we give the first three orders explicitly. Published by AIP Publishing.

引用

页数：14

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