TSIL: a program for the calculation of two-loop self-energy integrals

Abstract TSIL is a library of utilities for the numerical calculation of dimensionally regularized two-loop self-energy integrals. A convenient basis for these functions is given by the integrals obtained at the end of O.V. Tarasov's recurrence relation algorithm. The program computes the values of all of these basis functions, for arbitrary input masses and external momentum. When analytical expressions in terms of polylogarithms are available, they are used. Otherwise, the evaluation proceeds by a R... Title of program: TSIL Catalogue Id: ADWS_v1_0 Nature of problem Numerical evaluation of dimensionally regulated Feynman integrals needed in two-loop self-energy calculations in relativistic quantum field theory in four dimensions. Versions of this program held in the CPC repository in Mendeley Data ADWS_v1_0; TSIL; 10.1016/j.cpc.2005.08.005 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

摘要：TSIL库（TSIL）是一款用于数值计算维度正规化双圈自能积分的工具库。这类积分的一套便捷基组由O.V.塔拉索夫（O.V. Tarasov）的递推关系算法最终得到的积分构成。本程序可针对任意输入的粒子质量与外动量，计算所有上述基组函数的数值。当存在以多重对数函数表示的解析表达式时，程序将直接采用该表达式；否则将通过R...方法进行数值求值。
程序名称：TSIL
目录编号：ADWS_v1_0
问题本质：四维相对论量子场论中双圈自能计算所需的维度正规化费曼积分的数值求值
Mendeley数据集（Mendeley Data）中的计算机物理通讯（Computer Physics Communications，CPC）程序库存储的该程序版本：ADWS_v1_0；TSIL；10.1016/j.cpc.2005.08.005
本程序源自贝尔法斯特女王大学托管的CPC程序库（1969-2019年）