Journal Article

PUBDB-2026-00396

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Local-in-Time Conservative Binary Dynamics at Fifth Post-Minkowskian and First Self-Force Orders

Dlapa, C.Extern*DESY* ; Kaelin, G. W.DESY* ; Liu, Z.DESY* ; Porto, R. A.DESY*

2025
APS College Park, Md.

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Please use a persistent id in citations: doi:10.1103/215k-27sj  doi:10.3204/PUBDB-2025-01910

Report No.: DESY 25-089; DESY-25-089; arXiv:2506.20665

Abstract: 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 [2403.04853], we subtract the nonlocal tail terms from the result in [2403.07781] and reconstruct a local-in-time Hamiltonian in isotropic gauge -- valid for generic orbits. For completeness, we reinstate the nonlocal terms relevant for elliptic-like motion up to 6PN/1SF in a small-eccentricity expansion. Via the connection between the (source) energy flux in [2210.05541] 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.

Note: 5 pages + Refs + Supplemental. Two computer-readable ancillary files

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Contributing Institute(s):

1. Theoretische Astroteilchenphysik (Z_THAT)

Research Program(s):

1. 613 - Matter and Radiation from the Universe (POF4-613) (POF4-613)
2. LHCtoLISA - Precision Gravity: From the LHC to LISA (817791) (817791)
3. DFG project G:(GEPRIS)390833306 - EXC 2121: Das Quantisierte Universum II (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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Database coverage:
; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Electronics and Telecommunications Collection ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; Nationallizenz ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Dlapa, C.DESY* ; Kaelin, G. W. (Corresponding author)DESY* ; Liu, Z.DESY* ; Porto, R. A.DESY*
Local-in-Time Conservative Binary Dynamics at Fifth Post-Minkowskian and First Self-Force Orders
[10.3204/PUBDB-2025-01910]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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