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Title: Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach

Journal Article · · Physical Review Letters

We derive the conservative dynamics of nonspinning binaries to third post-Minkowskian order, using the effective field theory (EFT) approach introduced in [G. Kälin and R.A. Porto, J. High Energy Phys. 11 (2020) 106] together with the boundary-to-bound dictionary developed in [G. Kälin 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(G3) 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].

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); European Union Horizon 2020; German Research Foundation (DFG); Knut and Alice Wallenberg Foundation
Grant/Contract Number:
AC02-76SF00515; 817791; EXC 2121; 390833306; KAW 2018.0441
OSTI ID:
1737855
Alternate ID(s):
OSTI ID: 1768001
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Vol. 125 Journal Issue: 26; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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