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

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Bern, Zvi, Cheung, Clifford, Roiban, Radu, Shen, Chia-Hsien, Solon, Mikhail P., Zeng, Mao·2019·Physical Review Letters

Abstract

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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Metadata

Authors
Bern, Z., Cheung, C., Roiban, R., Shen, C.-H., Solon, M. P., & Zeng, M.
Venue
Physical Review Letters
Published
2019-05-24
Volume
122
Issue
20
Pages
201603-201603
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W2909916817
Cited by
522
References
51
FWCI
37.05
Type
journal article
Language
en
Open access
hybrid

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CoChat. (2026). Citation check: Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order. https://app.cochat.ai/papers/10.1103/physrevlett.122.201603
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Bern, Z., Cheung, C., Roiban, R., Shen, C.-H., Solon, M. P., & Zeng, M. (2019). Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order. Physical Review Letters. https://doi.org/10.1103/physrevlett.122.201603

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