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

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

2012-02-05

arxiv.org/abs/1202.0931v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/j.cpc.2012.02.014

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.

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