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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.21053 |
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| _version_ | 1866909444488560640 |
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| author | Huang, Li-Hong Huang, Rui-Jun Ma, Yan-Qing |
| author_facet | Huang, Li-Hong Huang, Rui-Jun Ma, Yan-Qing |
| contents | We introduce a novel structure for Feynman integrals, reformulating them as integrals over a small set of parameters with a fully controllable integrand. The integrand closely resembles one-loop Feynman integrals, and they are very easy to handle. Remarkably, the number of remaining integration parameters is independent of the number of external legs and small -- at most 2 for two-loop integrals and 5 for three-loop integrals -- facilitating the application of a wide range of established methods, both specific to Feynman integrals and more general techniques. This approach is expected to mitigate the computational challenges of multi-loop, multi-leg Feynman integrals. As a proof of concept, we successfully computed two-loop non-planar Feynman integrals with six external legs, demonstrating high efficiency. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_21053 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tame multi-leg Feynman integrals beyond one loop Huang, Li-Hong Huang, Rui-Jun Ma, Yan-Qing High Energy Physics - Phenomenology We introduce a novel structure for Feynman integrals, reformulating them as integrals over a small set of parameters with a fully controllable integrand. The integrand closely resembles one-loop Feynman integrals, and they are very easy to handle. Remarkably, the number of remaining integration parameters is independent of the number of external legs and small -- at most 2 for two-loop integrals and 5 for three-loop integrals -- facilitating the application of a wide range of established methods, both specific to Feynman integrals and more general techniques. This approach is expected to mitigate the computational challenges of multi-loop, multi-leg Feynman integrals. As a proof of concept, we successfully computed two-loop non-planar Feynman integrals with six external legs, demonstrating high efficiency. |
| title | Tame multi-leg Feynman integrals beyond one loop |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2412.21053 |