Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911581318676480 |
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| author | Vanhove, Pierre |
| author_facet | Vanhove, Pierre |
| contents | Dimensionally or analytically regulated Feynman integrals lead to relative twisted period integrals. We present a recent extension of the Griffiths-Dwork pole reduction algorithm for deriving the D-module of differential operators acting on the twisted differential forms from Feynman integrals.
We illustrate the application of this algorithm by providing twisted Picard-Fuchs operators for hypergeometric, elliptic and Calabi-Yau differential motives arising from families of Feynman integrals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09129 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals Vanhove, Pierre Algebraic Geometry High Energy Physics - Theory Dimensionally or analytically regulated Feynman integrals lead to relative twisted period integrals. We present a recent extension of the Griffiths-Dwork pole reduction algorithm for deriving the D-module of differential operators acting on the twisted differential forms from Feynman integrals. We illustrate the application of this algorithm by providing twisted Picard-Fuchs operators for hypergeometric, elliptic and Calabi-Yau differential motives arising from families of Feynman integrals. |
| title | Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals |
| topic | Algebraic Geometry High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.09129 |