Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order

Bern, Zvi; Cheung, Clifford; Roiban, Radu; Shen, Chia-Hsien; Solon, Mikhail P.; Zeng, Mao

doi:10.1103/PhysRevLett.122.201603

Title: Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order

Journal Article · 24 May 2019 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.122.201603 · OSTI ID:1515607

Bern, Zvi ^[1]; Cheung, Clifford ^[2]; Roiban, Radu ^[3]; Shen, Chia-Hsien ^[1]; Solon, Mikhail P. ^[2]; Zeng, Mao ^[4]

Univ. of California, Los Angeles, CA (United States)
California Institute of Technology (CalTech), Pasadena, CA (United States)
Pennsylvania State Univ., University Park, PA (United States)
Federal Inst. of Technology, Zurich (Switzerland)

We present the amplitude for classical scattering of gravitationally interacting massive scalars at third post-Minkowskian order. Our approach harnesses powerful tools from the modern amplitudes program such as generalized unitarity and the double-copy construction, which relates gravity integrands to simpler gauge-theory expressions. Adapting methods for integration and matching from effective field theory, we extract the conservative Hamiltonian for compact spinless binaries at third post-Minkowskian order. The resulting Hamiltonian is in complete agreement with corresponding terms in state-of-the-art expressions at fourth post-Newtonian order as well as the probe limit at all orders in velocity. We also derive the scattering angle at third post-Minkowskian order and find agreement with known results.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States); Univ. of California, Los Angeles, CA (United States); Pennsylvania State Univ., University Park, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); Swiss National Science Foundation (SNSF)

Grant/Contract Number:: SC0011632; SC0009937; SC0013699; SNF200021179016

OSTI ID:: 1515607

Alternate ID(s):: OSTI ID: 1600672

Journal Information:: Physical Review Letters, Vol. 122, Issue 20; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 272 works

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Double copy for massive quantum particles with spin Johansson, Henrik; Ochirov, Alexander ETH Zurich https://doi.org/10.3929/ethz-b-000371463	text	January 2019
From Boundary Data to Bound States Kälin, Gregor; Porto Pereira, Rafael Alejandro Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-00198	text	January 2019
On higher-derivative effects on the gravitational potential and particle bending Brandhuber, Andreas; Travaglini, Gabriele Journal of High Energy Physics, Vol. 2020, Issue 1 https://doi.org/10.1007/jhep01(2020)010	journal	January 2020
Scattering of uncharged particles in the field of two extremely charged black holes Bini, Donato; Geralico, Andrea; Gionti, Gabriele General Relativity and Gravitation, Vol. 51, Issue 11 https://doi.org/10.1007/s10714-019-2642-y	journal	November 2019
From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist) Kälin, Gregor; Porto, Rafael A. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-01333	text	January 2020
Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian Foffa, Stefano; Porto Pereira, Rafael Alejandro; Rothstein, Ira Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-02862	text	January 2019
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Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian Foffa, Stefano; Porto, Rafael A.; Rothstein, Ira arXiv https://doi.org/10.48550/arxiv.1903.05118	text	January 2019
The classical double copy in three spacetime dimensions González, Mariana Carrillo; Melcher, Brandon; Ratliff, Kenneth arXiv https://doi.org/10.48550/arxiv.1904.11001	preprint	January 2019
Scattering of uncharged particles in the field of two extremely charged black holes Bini, Donato; Geralico, Andrea; Gionti, Gabriele arXiv https://doi.org/10.48550/arxiv.1906.01991	text	January 2019
Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO Plefka, Jan; Shi, Canxin; Steinhoff, Jan arXiv https://doi.org/10.48550/arxiv.1906.05875	text	January 2019
Black Hole Binary Dynamics from the Double Copy and Effective Theory Bern, Zvi; Cheung, Clifford; Roiban, Radu arXiv https://doi.org/10.48550/arxiv.1908.01493	text	January 2019
UV considerations on scattering amplitudes in a web of theories Carrasco, John Joseph M.; Rodina, Laurentiu arXiv https://doi.org/10.48550/arxiv.1908.08033	text	January 2019
Scalar-Graviton Amplitudes Bjerrum-Bohr, N. E. J.; Cristofoli, Andrea; Damgaard, Poul H. arXiv https://doi.org/10.48550/arxiv.1908.09755	text	January 2019
Kerr-Newman from Minimal Coupling Moynihan, Nathan arXiv https://doi.org/10.48550/arxiv.1909.05217	text	January 2019
The Classical Double Copy of a Point Charge Kim, Kwangeon; Lee, Kanghoon; Monteiro, Ricardo arXiv https://doi.org/10.48550/arxiv.1912.02177	text	January 2019

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