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@ARTICLE{Dlapa:604089,
      author       = {Dlapa, Christoph and Kälin, Gregor and Liu, Zhengwen and
                      Porto, Rafael A.},
      title        = {{L}ocal in {T}ime {C}onservative {B}inary {D}ynamics at
                      {F}ourth {P}ost-{M}inkowskian {O}rder},
      reportid     = {PUBDB-2024-00993, DESY-24-029. arXiv:2403.04853},
      year         = {2024},
      abstract     = {Leveraging scattering information to describe binary
                      systems in generic orbits requires identifying local and
                      nonlocal in time tail effects. We report here the derivation
                      of the universal (nonspinning) local in time conservative
                      dynamics at fourth post-Minkowskian order, i.e., O(G4). This
                      is achtieved by computing the nonlocal-in-time contribution
                      to the deflection angle, and removing it from the full
                      conservative value in [C. Dlapa , Phys. Rev. Lett. 128,
                      161104 (2022).; C. Dlapa , Phys. Rev. Lett. 130, 101401
                      (2023).]. Unlike the total result, the integration problem
                      involves two scales—velocity and mass ratio—and features
                      multiple polylogarithms, complete elliptic and iterated
                      elliptic integrals, notably in the mass ratio. We
                      reconstruct the local radial action, center-of-mass momentum
                      and Hamiltonian, as well as the exact logarithmic-dependent
                      part(s), all valid for generic orbits. We incorporate the
                      remaining nonlocal terms for ellipticlike motion to sixth
                      post-Newtonian order. The combined Hamiltonian is in perfect
                      agreement in the overlap with the post-Newtonian state of
                      the art. The results presented here provide the most
                      accurate description of gravitationally bound binaries
                      harnessing scattering data to date, readily applicable to
                      waveform modeling.},
      keywords     = {gravitation (INSPIRE) / gravitational radiation (INSPIRE) /
                      binary (INSPIRE) / Hamiltonian (INSPIRE) / orbit (INSPIRE) /
                      conservation law (INSPIRE) / mass ratio (INSPIRE) /
                      scattering (INSPIRE) / nonlocal (INSPIRE) / deflection
                      (INSPIRE) / overlap (INSPIRE) / velocity (INSPIRE)},
      cin          = {$Z_THAT$},
      ddc          = {530},
      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)
                      / INTERACTIONS - NBIA INTERACTIONS POSTDOCTORAL PROGRAMME
                      (847523)},
      pid          = {G:(DE-HGF)POF4-613 / G:(EU-Grant)817791 /
                      G:(EU-Grant)847523},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2403.04853},
      howpublished = {arXiv:2403.04853},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2403.04853;\%\%$},
      doi          = {10.3204/PUBDB-2024-00993},
      url          = {https://bib-pubdb1.desy.de/record/604089},
}