Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order.
- Bern Z Mani L. Bhaumik Institute for Theoretical Physics, University of California at Los Angeles, Los Angeles, California 90095, USA.
- Cheung C Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125.
- Roiban R Institute for Gravitation and the Cosmos, Pennsylvania State University, University Park, Pennsylvania 16802, USA.
- Shen CH Mani L. Bhaumik Institute for Theoretical Physics, University of California at Los Angeles, Los Angeles, California 90095, USA.
- Solon MP Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125.
- Zeng M Institute for Theoretical Physics, ETH Zürich, 8093 Zürich, Switzerland.
- 2019-06-08
Published in:
- Physical review letters. - 2019
English
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.
- Language
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- English
- Open access status
- hybrid
- Identifiers
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- DOI 10.1103/PhysRevLett.122.201603
- PMID 31172785
- Persistent URL
- https://folia.unifr.ch/global/documents/264359
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