Local in Time Conservative Binary Dynamics at Fourth Post-Minkowskian Order

Dlapa, Christoph; Liu, Zhengwen; Porto Pereira, Rafael Alejandro; Kaelin, Gregor Willy

doi:10.1103/PhysRevLett.132.221401

Journal Article

PUBDB-2024-04673

Local in Time Conservative Binary Dynamics at Fourth Post-Minkowskian Order

Dlapa, C. (Corresponding author)DESY* ; Kaelin, G. W.DESY* ; Liu, Z. ; Porto Pereira, R. A.DESY*

2024
APS College Park, Md.

Physical review letters 132(22), 221401 (2024) [10.1103/PhysRevLett.132.221401]

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Please use a persistent id in citations: doi:10.1103/PhysRevLett.132.221401 doi:10.3204/PUBDB-2024-04673

Report No.: DESY 24-029; arXiv:2403.04853

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.

Keyword(s): gravitation ; gravitational radiation ; binary ; Hamiltonian ; orbit ; conservation law ; mass ratio ; scattering ; nonlocal ; deflection ; overlap ; velocity

Classification:

ddc:530

Note: 5 pages + Refs + Supplemental. Two computer-readable ancillary files. Two computer-readable ancillary files. v2: Ancillary files corrected to be compatible with the split in Eq. (2) and the result quoted in Eq. (7) (unmodified) with the given h_i coefficients (unmodified). To appear in Phys. Rev. Lett

Contributing Institute(s):

Theoretische Astroteilchenphysik (Z_THAT)

Research Program(s):

Experiment(s):

No specific instrument

Appears in the scientific report 2024

Database coverage:
Medline

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