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arxiv: 1202.0931 · v2 · pith:6IKO5YW5new · submitted 2012-02-05 · ✦ hep-ph

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

classification ✦ hep-ph
keywords methodcalculatedimensionalintegralslevelmomentumone-loopparts
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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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  1. Subtraction of infrared divergences in light-quark QCD sum rules

    hep-ph 2026-06 unverdicted novelty 5.0

    A subtraction formula is presented to eliminate infrared divergences in light-quark propagators for QCD sum rules at the propagator level.