{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,28]],"date-time":"2026-10-28T00:33:53Z","timestamp":1793147633449,"version":"4.5.0"},"reference-count":77,"publisher":"American Physical Society (APS)","issue":"25","license":[{"start":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T00:00:00Z","timestamp":1766016000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000781","name":"European Research Council","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010661","name":"Horizon 2020 Framework Programme","doi-asserted-by":"publisher","award":["817791"],"award-info":[{"award-number":["817791"]}],"id":[{"id":"10.13039\/100010661","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010665","name":"H2020 Marie Sk\u0142odowska-Curie Actions","doi-asserted-by":"publisher","award":["101146918"],"award-info":[{"award-number":["101146918"]}],"id":[{"id":"10.13039\/100010665","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100008081","name":"Southeast University","doi-asserted-by":"publisher","award":["RF1028624160"],"award-info":[{"award-number":["RF1028624160"]}],"id":[{"id":"10.13039\/501100008081","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. Lett."],"accepted":{"date-parts":[[2025,12,2]]},"abstract":"<jats:p>We report the local-in-time conservative dynamics of nonspinning binary systems at fifth post-Minkowskian (5PM) and first self-force (1SF) orders. This follows from an explicit calculation of the 5PM\/1SF nonlocal-in-time tail-type contribution to the deflection angle via worldline effective field theory techniques. Proceeding as in Dlapa  [], we subtract the nonlocal tail terms from the result in Driesse  [] and reconstruct a local-in-time Hamiltonian in isotropic gauge\u2014valid for generic orbits. For completeness, we reinstate the nonlocal terms relevant for ellipticlike motion up to 6PN\/1SF in a small-eccentricity expansion. Via the connection between the (source) energy flux in Dlapa  [] and tail effects, we also derive the SF-exact logarithmic-dependent part of the full 5PM bound Hamiltonian. Our results provide the most accurate description to date of the dynamics of bound compact objects within the framework of relativistic scattering computations.<\/jats:p>","DOI":"10.1103\/215k-27sj","type":"journal-article","created":{"date-parts":[[2025,12,2]],"date-time":"2025-12-02T14:16:09Z","timestamp":1764684969000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":21,"title":["Local-in-Time Conservative Binary Dynamics at Fifth Post-Minkowskian and First Self-Force Orders"],"prefix":"10.1103","volume":"135","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4336-3170","authenticated-orcid":true,"given":"Christoph","family":"Dlapa","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01js2sh04","id-type":"ROR","asserted-by":"publisher"}],"name":"Deutsches Elektronen-Synchrotron DESY"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6697-775X","authenticated-orcid":true,"given":"Gregor","family":"K\u00e4lin","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01js2sh04","id-type":"ROR","asserted-by":"publisher"}],"name":"Deutsches Elektronen-Synchrotron DESY"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2628-9063","authenticated-orcid":true,"given":"Zhengwen","family":"Liu","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/04ct4d772","id-type":"ROR","asserted-by":"publisher"}],"name":"Southeast University"},{"id":[{"id":"https:\/\/ror.org\/035b05819","id-type":"ROR","asserted-by":"publisher"}],"name":"Niels Bohr Institute"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0129-1930","authenticated-orcid":true,"given":"Rafael A.","family":"Porto","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01js2sh04","id-type":"ROR","asserted-by":"publisher"}],"name":"Deutsches Elektronen-Synchrotron DESY"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2025,12,18]]},"reference":[{"key":"215k-27sjCc3R1","first-page":"035","type":"journal-article","volume":"51","author":"D. 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principle, tail effects in the impulse enter via the\u201c2\u00a0rad\u201d region\u00a0[6, 50]. However, their contribution to the nonlocal radial action factorizes into a source (1\u00a0rad-only) part times the logarithm of the GW frequency\u00a0[37]. Hence, to avoid double counting, the 2\u00a0rad region must be discarded from the spectrum in (1).","type":"other"},{"key":"215k-27sjCc75R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cpc.2021.108058","type":"journal-article"},{"key":"215k-27sjCc76R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cpc.2017.05.026","type":"journal-article"},{"key":"215k-27sjCc77R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cpc.2017.09.014","type":"journal-article"},{"key":"215k-27sjCc78R1","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP05(2020)025","type":"journal-article"},{"key":"215k-27sjCc79R1","unstructured":"See Supplemental Material at http:\/\/link.aps.org\/supplemental\/10.1103\/215k-27sj for more details.","type":"other"}],"container-title":["Physical Review Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.aps.org\/article\/10.1103\/215k-27sj","content-type":"unspecified","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/harvest.aps.org\/v2\/journals\/articles\/10.1103\/215k-27sj\/fulltext","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,9,29]],"date-time":"2026-09-29T22:34:03Z","timestamp":1790721243000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.aps.org\/doi\/10.1103\/215k-27sj"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,12,18]]},"references-count":77,"journal-issue":{"issue":"25","published-print":{"date-parts":[[2025,12]]}},"URL":"https:\/\/doi.org\/10.1103\/215k-27sj","relation":{"has-preprint":[{"id-type":"doi","id":"10.48550\/arXiv.2506.20665","asserted-by":"subject"}]},"ISSN":["0031-9007","1079-7114"],"issn-type":[{"value":"0031-9007","type":"print"},{"value":"1079-7114","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,12,18]]},"assertion":[{"value":"2025-08-17","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"Published by the American Physical Society. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2025","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/","name":"creative_commons_license","label":"Creative Commons license","group":{"name":"licenses","label":"Licenses"}},{"value":"\u00a92025 The authors","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"251401"}}