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arXiv · 2412.15962

Feynman Integral Reduction without Integration-By-Parts

Ziwen Wang·Li Lin Yang
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Abstract

We present an interesting study of Feynman integral reduction that does not employ integration-by-parts identities. Our approach proceeds by studying the equivalence relations of integral contours in the Feynman parameterization. We find that the integration contour can take a more general form than that given by the Cheng-Wu theorem. We apply this idea to one-loop integrals, and derive universal reduction formulas that can be used to efficiently reduce any one-loop integral. We expect that this approach can be useful in the reduction of multi-loop integrals as well.

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Ziwen Wang, Li Lin Yang. 2024-12-20. Feynman Integral Reduction without Integration-By-Parts. https://doi.org/10.1103/s5j9-21gz

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