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@ARTICLE{Dlapa:630950,
      author       = {Dlapa, Christoph and Kaelin, Gregor Willy and Liu, Zhengwen
                      and Porto, Rafael A.},
      title        = {{L}ocal-in-{T}ime {C}onservative {B}inary {D}ynamics at
                      {F}ifth {P}ost-{M}inkowskian and {F}irst {S}elf-{F}orce
                      {O}rders},
      reportid     = {PUBDB-2025-01910, DESY-25-089. arXiv:2506.20665},
      year         = {2025},
      note         = {5 pages + Refs + Supplemental. Two computer-readable
                      ancillary files},
      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.},
      cin          = {$Z_THAT$},
      cid          = {$I:(DE-H253)Z_THAT-20210408$},
      pnm          = {613 - Matter and Radiation from the Universe (POF4-613) /
                      LHCtoLISA - Precision Gravity: From the LHC to LISA (817791)
                      / DFG project G:(GEPRIS)390833306 - EXC 2121: Quantum
                      Universe (390833306)},
      pid          = {G:(DE-HGF)POF4-613 / G:(EU-Grant)817791 /
                      G:(GEPRIS)390833306},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2506.20665},
      howpublished = {arXiv:2506.20665},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2506.20665;\%\%$},
      doi          = {10.3204/PUBDB-2025-01910},
      url          = {https://bib-pubdb1.desy.de/record/630950},
}