Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

Abstract
We provide algorithms for symbolic integration of hyperlogarithms multiplied by rational functions, which also include multiple polylogarithms when their arguments are rational functions. These algorithms are implemented in Maple and we discuss in particular their application to the computation of Feynman integrals.

Title of program: HyperInt
Catalogue Id: AEUV_v1_0

Nature of problem
Feynman integrals and their ε-expansions in dimensional regularization can be expressed in the Schwinger parametrization as multi-dimensional integrals of rational functions and logarithms. Symbolic integration of such functions therefore serves a tool for the exact and direct evaluation of Feynman graphs.

Versions of this program held in the CPC repository in Mendeley Data
AEUV_v1_0; HyperInt; 10.1016/j.cpc.2014.10.019

本程序源自贝尔法斯特女王大学（1969-2018年）所持有的CPC程序库。

摘要：本文提供了关于超对数与有理函数乘积的符号积分算法，当其参数为有理函数时，还包括多对数项。这些算法已实现于Maple软件中，并特别讨论了其在费曼积分计算中的应用。

程序名称：HyperInt
目录编号：AEUV_v1_0

问题性质：费曼积分及其在维度正则化下的ε展开，可表示为Schwinger参数化下的多维有理函数和对数积分。因此，此类函数的符号积分成为精确直接评估费曼图的工具。

本程序在Mendeley数据库的CPC存储库中的版本：AEUV_v1_0；HyperInt；10.1016/j.cpc.2014.10.019