Spinning black hole binary dynamics, scattering amplitudes, and effective field theory
Open access
Date
2021-09-15Type
- Journal Article
Abstract
We describe a systematic framework for finding the conservative potential of compact binary systems with spin based on scattering amplitudes of particles of arbitrary spin and effective field theory. An arbitrary-spin formalism is generally required in the classical limit. By matching the tree and one-loop amplitudes of four spinning particles with those of a suitably chosen effective field theory, we obtain the spin1-spin2 terms of a two-body effective Hamiltonian through O(G2) and valid to all orders in velocity. Solving Hamilton's equations yields the impulse and spin changes of the individual bodies. We write them in a surprisingly compact form as appropriate derivatives of the eikonal phase obtained from the amplitude. It seems likely this structure persists to higher orders. We also point out various double-copy relations for general spin. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000507696Publication status
publishedExternal links
Journal / series
Physical Review DVolume
Pages / Article No.
Publisher
American Physical SocietyFunding
179016 - Singlular structure of two-loop amplitudes and their numerical evaluation (SNF)
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