Intersection theory, relative cohomology and the Feynman parametrization
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915249361256448 |
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| author | Lu, Mingming Wang, Ziwen Yang, Li Lin |
| author_facet | Lu, Mingming Wang, Ziwen Yang, Li Lin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05226 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Intersection theory, relative cohomology and the Feynman parametrization Lu, Mingming Wang, Ziwen Yang, Li Lin High Energy Physics - Theory High Energy Physics - Phenomenology 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. |
| title | Intersection theory, relative cohomology and the Feynman parametrization |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2411.05226 |