Symbol letters of Feynman integrals from Gram determinants
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916790982934528 |
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| author | Jiang, Xuhang Liu, Jiahao Xu, Xiaofeng Yang, Li Lin |
| author_facet | Jiang, Xuhang Liu, Jiahao Xu, Xiaofeng Yang, Li Lin |
| contents | Symbol letters are crucial for analytically calculating Feynman integrals in terms of iterated integrals. We present a novel method to construct the symbol letters for a given integral family without prior knowledge of the canonical differential equations. We provide a program package implementing our algorithm, and demonstrate its effectiveness in solving non-trivial problems with multiple loops and legs. Using our method, we successfully bootstrap the canonical differential equations for a two-loop five-point family with two external masses and for a three-loop four-point family with two external masses, which were previously unknown in the literature. We anticipate that our method can be applied to a wide range of cutting-edge calculations in the future. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07632 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symbol letters of Feynman integrals from Gram determinants Jiang, Xuhang Liu, Jiahao Xu, Xiaofeng Yang, Li Lin High Energy Physics - Phenomenology High Energy Physics - Theory Symbol letters are crucial for analytically calculating Feynman integrals in terms of iterated integrals. We present a novel method to construct the symbol letters for a given integral family without prior knowledge of the canonical differential equations. We provide a program package implementing our algorithm, and demonstrate its effectiveness in solving non-trivial problems with multiple loops and legs. Using our method, we successfully bootstrap the canonical differential equations for a two-loop five-point family with two external masses and for a three-loop four-point family with two external masses, which were previously unknown in the literature. We anticipate that our method can be applied to a wide range of cutting-edge calculations in the future. |
| title | Symbol letters of Feynman integrals from Gram determinants |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.07632 |