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| Journal Article | PUBDB-2026-02529 |
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2026
American Physical Society
Ridge, NY
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Please use a persistent id in citations: doi:10.1103/wkp4-vy6g doi:10.3204/PUBDB-2026-02529
Report No.: DESY-26-055; arXiv:2604.25916
Abstract: Using the worldline effective field theory formalism, we derive the nonlocal-in-time conservative contributions arising from tail effects in gravitational scattering at 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, in particular a novel integration-by-parts algorithm, the "Sparse Integral Reducer" (SpideR) program. We find perfect agreement in the overlapping regime with all the 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.
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Preprint
Nonlocal-in-time tail effects in gravitational scattering at fifth Post-Minkowskian and tenth self-force orders
(2026) [10.3204/PUBDB-2026-01334]
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