Spinning black hole binary dynamics, scattering amplitudes, and effective field theory

By Z. Bern, A. Luna, R. Roiban, Chia-Hsien Shen, M. Zeng. Physical Review D, 2020

209 citations recorded by the source corpus.

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(G^2) 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/27c2a53230bf40eab3490033acb487009069c274

Citations in the corpus

• Classical black hole scattering from a worldline quantum field theory (2020, unknown): “J H E P 0 2 ( 2 0 2 1 ) 0 4 8 orders and changes in spins [94, 95].”