The iterated structure of the all-order result for the two-loop sunrise integral
The iterated structure of the all-order result for the two-loop sunrise integral
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DOI：
10.1063/1.4944722
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发表时间：
2015-12
影响因子：
1.3
通讯作者：
Luise Adams;C. Bogner;S. Weinzierl
中科院分区：
文献类型：
--
作者：
Luise Adams;C. Bogner;S. Weinzierl
本文提出了一种方法来计算具有相等非零质量的双圈日出积分在维正则化e中任意阶的罗朗展开。这是通过引入一类函数（多个多项式的推广，包括椭圆的情况下），并表明所有的集成可以进行这类功能。
We present a method to compute the Laurent expansion of the two-loop sunrise integral with equal non-zero masses to arbitrary order in the dimensional regularisation e. This is done by introducing a class of functions (generalisations of multiple polylogarithms to include the elliptic case) and by showing that all integrations can be carried out within this class of functions.