Intersection theory, relative cohomology and the Feynman parametrization
High Energy Physics - Theory
2025-04-21 v2 High Energy Physics - Phenomenology
Abstract
We present a novel approach for loop integral reduction in the Feynman parametrization using intersection theory and relative cohomology. In this framework, Feynman integrals correspond to boundary-supported differential forms in the language of relative cohomology. The integral reduction can then be achieved by computing intersection numbers. We apply our method in several examples to demonstrate its correctness, and discuss the subtleties in certain degenerate limits.
Keywords
Cite
@article{arxiv.2411.05226,
title = {Intersection theory, relative cohomology and the Feynman parametrization},
author = {Mingming Lu and Ziwen Wang and Li Lin Yang},
journal= {arXiv preprint arXiv:2411.05226},
year = {2025}
}
Comments
v2: match published version