Geometric Singularities of Feynman Integrals
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918046397890560 |
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| author | Helmer, Martin Tellander, Felix |
| author_facet | Helmer, Martin Tellander, Felix |
| contents | We provide a new method to calculate the full microlocal description of singularities of Feynman integrals. This is done by associating a unique constructible function to the system of partial differential equations (PDEs) annihilating the integral and from this function the singularities can directly be read-off. This function can be constructed explicitly even if the system of PDEs is unknown and describes both the location of the singularities and the number of master integrals on them. Our framework is flexible enough to preform the calculation in any of the Lee-Pomeransky, Feynman, or momentum representations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05042 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometric Singularities of Feynman Integrals Helmer, Martin Tellander, Felix High Energy Physics - Theory Mathematical Physics We provide a new method to calculate the full microlocal description of singularities of Feynman integrals. This is done by associating a unique constructible function to the system of partial differential equations (PDEs) annihilating the integral and from this function the singularities can directly be read-off. This function can be constructed explicitly even if the system of PDEs is unknown and describes both the location of the singularities and the number of master integrals on them. Our framework is flexible enough to preform the calculation in any of the Lee-Pomeransky, Feynman, or momentum representations. |
| title | Geometric Singularities of Feynman Integrals |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2506.05042 |