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】本文介绍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，该方法对应的结果涵盖以下几类积分：三圈在壳无质量顶点积分、三圈在壳质量算符型积分、四圈QED型蝌蚪积分以及四圈无质量传播子（Lee等，2010；Lee与Smirnov，2011；Lee等，2011、2012）。该软件包可用于展开式的高精度数值计算……
程序标题：SummerTime
目录编号：AEZU_v1_0
问题本质：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，以及对贡恰罗夫多重对数函数（Goncharov's polylogarithms）及相关函数进行任意精度求值。
Mendeley数据的CPC程序库中保存的该程序版本：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馆藏的CPC程序库（1969-2018）