Calabi-Yau Feynman integrals in gravity: $\varepsilon$-factorized form for apparent singularities
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917978538246144 |
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| author | Frellesvig, Hjalte Morales, Roger Pögel, Sebastian Weinzierl, Stefan Wilhelm, Matthias |
| author_facet | Frellesvig, Hjalte Morales, Roger Pögel, Sebastian Weinzierl, Stefan Wilhelm, Matthias |
| contents | We study a recently identified four-loop Feynman integral that contains a three-dimensional Calabi-Yau geometry and contributes to the scattering of black holes in classical gravity at fifth post-Minkowskian and second self-force order (5PM 2SF) in the conservative sector. In contrast to previously studied Calabi-Yau Feynman integrals, the higher-order differential equation that this integral satisfies in dimensional regularization exhibits $\varepsilon$-dependent apparent singularities. We introduce an appropriate ansatz which allows us to bring such cases into an $\varepsilon$-factorized form. As a proof of principle, we apply it to the integral at hand. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12057 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Calabi-Yau Feynman integrals in gravity: $\varepsilon$-factorized form for apparent singularities Frellesvig, Hjalte Morales, Roger Pögel, Sebastian Weinzierl, Stefan Wilhelm, Matthias High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology We study a recently identified four-loop Feynman integral that contains a three-dimensional Calabi-Yau geometry and contributes to the scattering of black holes in classical gravity at fifth post-Minkowskian and second self-force order (5PM 2SF) in the conservative sector. In contrast to previously studied Calabi-Yau Feynman integrals, the higher-order differential equation that this integral satisfies in dimensional regularization exhibits $\varepsilon$-dependent apparent singularities. We introduce an appropriate ansatz which allows us to bring such cases into an $\varepsilon$-factorized form. As a proof of principle, we apply it to the integral at hand. |
| title | Calabi-Yau Feynman integrals in gravity: $\varepsilon$-factorized form for apparent singularities |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2412.12057 |