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软件包。Package-X可计算至多包含3个传播子的任意高阶张量积分，并针对任意涉及实值外不变量与内部质量的运动学构型，给出紫外发散、红外发散与有限部分的紧凑表达式。输出表达式可直接进行数值求值与符号操作……
程序名称：Package-X
目录编号：AEXT_v1_0
问题本质：相对论量子场论中，针对任意高阶张量积分以及任意含实值外不变量与内部质量的运动学构型，完成一圈积分的解析计算。
Mendeley数据中的CPC库存档版本：AEXT_v1_0；Package-X；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年）