Feynman Integral Reduction without Integration-By-Parts
High Energy Physics - Theory
2026-04-30 v3 High Energy Physics - Phenomenology
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.
Cite
@article{arxiv.2412.15962,
title = {Feynman Integral Reduction without Integration-By-Parts},
author = {Ziwen Wang and Li Lin Yang},
journal= {arXiv preprint arXiv:2412.15962},
year = {2026}
}