TY - JOUR
T1 - Scattering Amplitudes and Conservative Binary Dynamics at O (G4)
AU - Bern, Zvi
AU - Parra-Martinez, Julio
AU - Roiban, Radu
AU - Ruf, Michael S.
AU - Shen, Chia Hsien
AU - Solon, Mikhail P.
AU - Zeng, Mao
N1 - Publisher Copyright:
© 2021 authors. Published by the American Physical Society.
PY - 2021/4/26
Y1 - 2021/4/26
N2 - Using scattering amplitudes, we obtain the potential contributions to conservative binary dynamics in general relativity at fourth post-Minkowskian order O(G4). As in previous lower-order calculations, we harness powerful tools from the modern scattering amplitudes program including generalized unitarity, the double copy, and advanced multiloop integration methods, in combination with effective field theory. The classical amplitude involves polylogarithms with up to transcendental weight two and elliptic integrals. We derive the radial action directly from the amplitude, and determine the corresponding Hamiltonian in isotropic gauge. Our results are in agreement with known overlapping terms up to sixth post-Newtonian order, and with the probe limit. We also determine the post-Minkowskian energy loss from radiation emission at O(G3) via its relation to the tail effect.
AB - Using scattering amplitudes, we obtain the potential contributions to conservative binary dynamics in general relativity at fourth post-Minkowskian order O(G4). As in previous lower-order calculations, we harness powerful tools from the modern scattering amplitudes program including generalized unitarity, the double copy, and advanced multiloop integration methods, in combination with effective field theory. The classical amplitude involves polylogarithms with up to transcendental weight two and elliptic integrals. We derive the radial action directly from the amplitude, and determine the corresponding Hamiltonian in isotropic gauge. Our results are in agreement with known overlapping terms up to sixth post-Newtonian order, and with the probe limit. We also determine the post-Minkowskian energy loss from radiation emission at O(G3) via its relation to the tail effect.
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U2 - 10.1103/PhysRevLett.126.171601
DO - 10.1103/PhysRevLett.126.171601
M3 - Article
C2 - 33988437
AN - SCOPUS:85105618442
SN - 0031-9007
VL - 126
JO - Physical review letters
JF - Physical review letters
IS - 17
M1 - 171601
ER -