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

作者：Feng, Feng^*

来源：Computer Physics Communications, 2012, 183(7): 1519-1524.

DOI：10.1016/j.cpc.2012.02.014

• UV-divergent
• One loop
• Ultraviolet

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.
Program summary
Program title: UVPart
Catalogue identifier: AELY_v1_0
Program summary URL: http://cpc.cs.qub.ac.uk/summaries/AELY_v1_0.html
Program obtainable from: CPC Program Library, Queen's University, Belfast, N. Ireland
Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html
No. of lines in distributed program, including test data, etc.: 26 361
No. of bytes in distributed program, including test data, etc.: 412 084
Distribution format: tar.gz
Programming language: Mathematica
Computer: Any computer where the Mathematica is running.
Operating system: Any capable of running Mathematica.
Classification: 11.1
External routines: FeynCalc (http://www.feyncalc.org/), FeynArts (http://www.feynarts.de/)
Nature of problem: To get the UV-divergent part of any one-loop expression.
Solution method: UVPart is a Mathematica package where the recursive method has been implemented.
Running time: In general it is below one second.

• 出版日期2012-7
• 单位北京大学