2019/01/14 by Zvi Bern, Clifford Cheung, Radu Roiban +3 · 1 citation
Physics and Astronomy · #hep-th #gr-qc #hep-ph
paper · pdf · doi:10.1103/physrevlett.122.201603
published as Phys. Rev. Lett. 122, 201603 (2019) · 5 pages + references, 2 figures
arxiv created 2019/01/14 · arxiv updated 2019/05/29
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.