Journal Article PUBDB-2026-02529

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Nonlocal-in-time tail effects in gravitational scattering at fifth Post-Minkowskian and tenth self-force orders

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2026
American Physical Society Ridge, NY

Physical review / D 114(2), 024029 () [10.1103/wkp4-vy6g]
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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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Note: (DFG, German Research Foundation) - Project number 555751285

Contributing Institute(s):
  1. Theoretische Astroteilchenphysik (Z_THAT)
Research Program(s):
  1. 613 - Matter and Radiation from the Universe (POF4-613) (POF4-613)
  2. DFG project G:(GEPRIS)390833306 - EXC 2121: Das Quantisierte Universum II (390833306) (390833306)
Experiment(s):
  1. Ultraviolet Transient Astronomy Satellite

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Nonlocal-in-time tail effects in gravitational scattering at fifth Post-Minkowskian and tenth self-force orders
() [10.3204/PUBDB-2026-01334]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2026-08-24, last modified 2026-08-24


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