English

A Recursive Method to Calculate UV-divergent Parts at One-Loop Level in Dimensional Regularization

High Energy Physics - Phenomenology 2012-02-21 v2

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 an implementation in Mathematica is ready to use.

Keywords

Cite

@article{arxiv.1202.0931,
  title  = {A Recursive Method to Calculate UV-divergent Parts at One-Loop Level in Dimensional Regularization},
  author = {Feng Feng},
  journal= {arXiv preprint arXiv:1202.0931},
  year   = {2012}
}

Comments

10 pages, 1 figure, typos fixed, to appear in Computer Physics Communications

R2 v1 2026-06-21T20:14:55.764Z