Conservative Black Hole Scattering at Fifth Post-Minkowskian and First Self-Force Order
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917667031482368 |
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| author | Driesse, Mathias Jakobsen, Gustav Uhre Mogull, Gustav Plefka, Jan Sauer, Benjamin Usovitsch, Johann |
| author_facet | Driesse, Mathias Jakobsen, Gustav Uhre Mogull, Gustav Plefka, Jan Sauer, Benjamin Usovitsch, Johann |
| contents | We compute the 5PM order contributions to the scattering angle and impulse of classical black hole scattering in the conservative sector at first self-force order (1SF) using the worldline quantum field theory formalism. This challenging four-loop computation required the use of advanced integration-by-parts and differential equation technology implemented on high-performance computing systems. Use of partial fraction identities allowed us to render the complete integrand in a fully planar form. The resulting function space is simpler than expected: in the scattering angle we see only multiple polylogarithms up to weight three, and a total absence of the elliptic integrals that appeared at 4PM order. All checks on our result, both internal - cancellation of dimensional regularization poles, preservation of the on-shell condition - and external - matching the slow-velocity limit with the post-Newtonian (PN) literature up to 5PN order and matching the tail terms to the 4PM loss of energy - are passed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_07781 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conservative Black Hole Scattering at Fifth Post-Minkowskian and First Self-Force Order Driesse, Mathias Jakobsen, Gustav Uhre Mogull, Gustav Plefka, Jan Sauer, Benjamin Usovitsch, Johann High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology We compute the 5PM order contributions to the scattering angle and impulse of classical black hole scattering in the conservative sector at first self-force order (1SF) using the worldline quantum field theory formalism. This challenging four-loop computation required the use of advanced integration-by-parts and differential equation technology implemented on high-performance computing systems. Use of partial fraction identities allowed us to render the complete integrand in a fully planar form. The resulting function space is simpler than expected: in the scattering angle we see only multiple polylogarithms up to weight three, and a total absence of the elliptic integrals that appeared at 4PM order. All checks on our result, both internal - cancellation of dimensional regularization poles, preservation of the on-shell condition - and external - matching the slow-velocity limit with the post-Newtonian (PN) literature up to 5PN order and matching the tail terms to the 4PM loss of energy - are passed. |
| title | Conservative Black Hole Scattering at Fifth Post-Minkowskian and First Self-Force Order |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2403.07781 |