Calabi-Yau meets Gravity: A Calabi-Yau three-fold at fifth post-Minkowskian order
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866929346517663744 |
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| author | Frellesvig, Hjalte Morales, Roger Wilhelm, Matthias |
| author_facet | Frellesvig, Hjalte Morales, Roger Wilhelm, Matthias |
| contents | We study geometries occurring in Feynman integrals that contribute to the scattering of black holes in the post-Minkowskian expansion. These geometries become relevant to gravitational-wave production during the inspiralling phase of binary black hole mergers through the classical conservative potential. At fourth post-Minkowskian order, a K3 surface is known to occur in a three-loop integral, leading to elliptic integrals in the result. In this letter, we identify a Calabi-Yau three-fold in a four-loop integral, contributing at fifth post-Minkowskian order. The presence of this Calabi-Yau geometry indicates that completely new functions occur in the full analytical results at this order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_11371 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Calabi-Yau meets Gravity: A Calabi-Yau three-fold at fifth post-Minkowskian order Frellesvig, Hjalte Morales, Roger Wilhelm, Matthias High Energy Physics - Theory General Relativity and Quantum Cosmology We study geometries occurring in Feynman integrals that contribute to the scattering of black holes in the post-Minkowskian expansion. These geometries become relevant to gravitational-wave production during the inspiralling phase of binary black hole mergers through the classical conservative potential. At fourth post-Minkowskian order, a K3 surface is known to occur in a three-loop integral, leading to elliptic integrals in the result. In this letter, we identify a Calabi-Yau three-fold in a four-loop integral, contributing at fifth post-Minkowskian order. The presence of this Calabi-Yau geometry indicates that completely new functions occur in the full analytical results at this order. |
| title | Calabi-Yau meets Gravity: A Calabi-Yau three-fold at fifth post-Minkowskian order |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2312.11371 |