Introducing SummerTime: A package for high-precision computation of sums appearing in DRA method

Abstract
We present the Mathematica package SummerTime for arbitrary-precision computation of sums appearing in the results of DRA method (Lee, 2010). So far these results include the following families of the integrals: 3-loop onshell massless vertices, 3-loop onshell mass operator type integrals, 4-loop QED-type tadpoles, 4-loop massless propagators (Lee et al., 2010; Lee and Smirnov, 2011; Lee et al., 2011, 2012). The package can be used for high-precision numerical computation of the expansion o...

Title of program: SummerTime
Catalogue Id: AEZU_v1_0

Nature of problem
Arbitrary-precision evaluation of the ε-expansion coefficients of the multiloop integrals obtained via DRA method [1]. Arbitrary-precision evaluation of the Goncharov's polylogarithms and related function.

Versions of this program held in the CPC repository in Mendeley Data
AEZU_v1_0; SummerTime; 10.1016/j.cpc.2016.02.018

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

摘要
我们提出了用于任意精度计算DRA方法（DRA method）结果中出现的求和式的Mathematica软件包SummerTime。截至目前，该方法的结果涵盖以下几类积分：三圈在壳（on-shell）无质量顶点积分、三圈在壳质量算符型积分、四圈量子电动力学（Quantum Electrodynamics, QED）型tadpole积分、四圈无质量传播子积分（Lee等人，2010；Lee与Smirnov，2011；Lee等人，2011、2012）。本软件包可用于……的高精度数值计算。

程序标题：SummerTime
目录编号：AEZU_v1_0

问题属性
对通过DRA方法[1]得到的多圈积分的ε展开系数进行任意精度求值；对贡恰罗夫多重对数（Goncharov's polylogarithms）及其相关函数进行任意精度求值。

该程序在Mendeley数据的CPC库内的收录版本：
AEZU_v1_0; SummerTime; 10.1016/j.cpc.2016.02.018

本程序源自贝尔法斯特女王大学托管的CPC程序库（1969-2018年）