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

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