Package-X: A Mathematica package for the analytic calculation of one-loop integrals

Abstract
Package-X, a Mathematica package for the analytic computation of one-loop integrals dimensionally regulated near 4 spacetime dimensions is described. Package-X computes arbitrarily high rank tensor integrals with up to three propagators, and gives compact expressions of UV divergent, IR divergent, and finite parts for any kinematic configuration involving real-valued external invariants and internal masses. Output expressions can be readily evaluated numerically and manipulated symbolically w...

Title of program: Package-X
Catalogue Id: AEXT_v1_0

Nature of problem
Analytic calculation of one-loop integrals in relativistic quantum field theory for arbitrarily high-rank tensor integrals and any kinematic configuration of real-valued external invariants and internal masses.

Versions of this program held in the CPC repository in Mendeley Data
AEXT_v1_0; Package-X; 10.1016/j.cpc.2015.08.017

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

摘要
本文介绍Package-X：一款用于在4维时空附近进行维度正规化的一圈积分解析计算的Mathematica程序包。Package-X可计算任意高阶张量积分（最多支持3个传播子），并能针对任意包含实值外禀不变量与内禀质量的运动学构型，给出紫外发散（UV divergent）、红外发散（IR divergent）及有限部分的紧凑表达式。输出表达式可便捷地进行数值求值与符号操作……

程序名称：Package-X
目录编号：AEXT_v1_0

问题描述
针对相对论量子场论中任意高阶张量积分，以及包含实值外禀不变量与内禀质量的任意运动学构型，实现一圈积分的解析计算。

存放在Mendeley数据中的计算机物理学报（Computer Physics Communications，简称CPC）库的本程序版本为：AEXT_v1_0；Package-X；DOI: 10.1016/j.cpc.2015.08.017

本程序源自贝尔法斯特女王大学托管的CPC程序库（1969-2018）