Nonlocal-in-time tail effects in gravitational scattering to fifth Post-Minkowskian and tenth self-force orders
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866911629374914560 |
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| author | Dlapa, Christoph Kälin, Gregor Liu, Zhengwen Porto, Rafael A. |
| author_facet | Dlapa, Christoph Kälin, Gregor Liu, Zhengwen Porto, Rafael A. |
| contents | Using the worldline effective field theory formalism, we derive the nonlocal-in-time conservative contributions arising from tail effects in gravitational scattering to fifth Post-Minkowskian (5PM) and tenth self-force (10SF) orders. The result features multiple polylogarithms of up to weight three. This challenging computation relies on state-of-the-art integration techniques, including a novel integration-by-parts algorithm: the Sparse Integral Reducer (SpideR). We find perfect agreement in the overlap with all existing literature through sixth post-Newtonian order. The results presented here provide a key ingredient for isolating the local-in-time component of the conservative two-body dynamics of binary inspirals at 5PM order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_25916 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nonlocal-in-time tail effects in gravitational scattering to fifth Post-Minkowskian and tenth self-force orders Dlapa, Christoph Kälin, Gregor Liu, Zhengwen Porto, Rafael A. High Energy Physics - Theory General Relativity and Quantum Cosmology Using the worldline effective field theory formalism, we derive the nonlocal-in-time conservative contributions arising from tail effects in gravitational scattering to fifth Post-Minkowskian (5PM) and tenth self-force (10SF) orders. The result features multiple polylogarithms of up to weight three. This challenging computation relies on state-of-the-art integration techniques, including a novel integration-by-parts algorithm: the Sparse Integral Reducer (SpideR). We find perfect agreement in the overlap with all existing literature through sixth post-Newtonian order. The results presented here provide a key ingredient for isolating the local-in-time component of the conservative two-body dynamics of binary inspirals at 5PM order. |
| title | Nonlocal-in-time tail effects in gravitational scattering to fifth Post-Minkowskian and tenth self-force orders |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2604.25916 |