The two-loop sunrise graph with arbitrary masses

被引：101
作者：
Adams, Luise [1 ]
Bogner, Christian [2 ]
Weinzierl, Stefan [1 ]
机构：
[1] Johannes Gutenberg Univ Mainz, PRISMA Cluster Excellence, Inst Phys, D-55099 Mainz, Germany
[2] Humboldt Univ, Inst Phys, D-10099 Berlin, Germany
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 54卷 / 05期
关键词：
THRESHOLD EXPANSION; DIFFERENTIAL-EQUATIONS; NUMERICAL EVALUATION; MASTER INTEGRALS; FEYNMAN DIAGRAMS; SPACE; SUNSET; CONNECTION; VALUES;
D O I：
10.1063/1.4804996
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We discuss the analytical solution of the two-loop sunrise graph with arbitrary non-zero masses in two space-time dimensions. The analytical result is obtained by solving a second-order differential equation. The solution involves elliptic integrals and in particular the solutions of the corresponding homogeneous differential equation are given by periods of an elliptic curve. (C) 2013 AIP Publishing LLC.
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页数：18
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