The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms

被引:127
作者
Adams, Luise [1 ]
Bogner, Christian [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
关键词
DIFFERENTIAL-EQUATIONS; MASTER INTEGRALS; NUMERICAL EVALUATION; SELF-ENERGIES; DIAGRAMS; AMPLITUDES;
D O I
10.1063/1.4896563
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present the two-loop sunrise integral with arbitrary non-zero masses in two space-time dimensions in terms of elliptic dilogarithms. We find that the structure of the result is as simple and elegant as in the equal mass case, only the arguments of the elliptic dilogarithms are modified. These arguments have a nice geometric interpretation. (C) 2014 AIP Publishing LLC.
引用
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页数:17
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