Journal
PHYSICAL REVIEW LETTERS
Volume 125, Issue 26, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.125.261103
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Funding
- ERC by the European Research Council (ERC) under the European Union [817791]
- Deutsche Forschungsgemeinschaft (DFG) under Germany's Excellence Strategy (EXC 2121) Quantum Universe [390833306]
- Knut and Alice Wallenberg Foundation [KAW 2018.0441]
- United States Department of Energy [DE-AC02-6SF00515]
- European Research Council (ERC) [817791] Funding Source: European Research Council (ERC)
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We derive the conservative dynamics of nonspinning binaries to third post-Minkowskian order, using the effective field theory (EFT) approach introduced in [G. KIM and R. A. Porto, J. High Energy Phys. 11 (2020) 106] together with the boundary-to-bound dictionary developed in [G. Kalin and R. A. Porto, J. High Energy Phys. 01 (2020) 072; J. High Energy Phys. 02 (2020) 120.]. The main ingredient is the scattering angle, which we compute to O(G(3)) via Feynman diagrams. Adapting to the EFT framework powerful tools from the amplitudes program, we show how the associated (master) integrals are bootstrapped to all orders in velocities via differential equations. Remarkably, the boundary conditions can be reduced to the same integrals that appear in the EFT with post-Newtonian sources. For the sake of comparison, we reconstruct the Hamiltonian and the classical limit of the scattering amplitude. Our results are in perfect agreement with those in Bern et al. [Phys. Rev. Lett. 122, 201603 (2019); J. High Energy Phys. 10 (2019) 206].
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