A recursive method to calculate UV-divergent parts at one-loop level in dimensional regularization

Abstract
A method is introduced to calculate the UV-divergent parts at one-loop level in dimensional regularization. The method is based on the recursion, and the basic integrals are just the scaleless integrals after the recursive reduction, which involve no other momentum scales except the loop momentum itself. The method can be easily implemented in any symbolic computer language, and a implementation in Mathematica is ready to use.

Title of program: UVPart
Catalogue Id: AELY_v1_0

Nature of problem
To get the UV-divergent part of any one-loop expression.

Versions of this program held in the CPC repository in Mendeley Data
AELY_v1_0; UVPart; 10.1016/j.cpc.2012.02.014

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

本文提出了一种在维正则化下计算一环阶UV发散部分的方法。该方法基于递归原理，基本积分仅是递归简化后的无量纲积分，其中不涉及除环动量以外的其他动量尺度。此方法可轻松地应用于任何符号计算语言，并已在Mathematica中实现可供使用。

程序名称：UVPart
目录编号：AELY_v1_0

问题性质：获取任何一环表达式的UV发散部分。

CPC数据库中存储的该程序版本：AELY_v1_0; UVPart; 10.1016/j.cpc.2012.02.014

该程序已从贝尔法斯特女王大学保存的CPC程序库中导入（1969-2018）。