Bootstrapping the relativistic two-body problem
Abstract
We describe the formalism to compute gravitational-wave observables for compact binaries via the effective field theory framework in combination with modern tools from collider physics. We put particular emphasis on solving the "multi-loop" integration problem via the methodology of differential equations and expansion by regions. This allows us to "bootstrap" the two-body relativistic dynamics in the Post-Minkowskian (PM) expansion from boundary data evaluated in the near-static (soft) limit. We illustrate the procedure with the derivation of the total spacetime impulse in the scattering of non-spinning bodies to 4PM (three-loop) order, i.e. , including conservative and dissipative effects.
Cite
@article{arxiv.2304.01275,
title = {Bootstrapping the relativistic two-body problem},
author = {Christoph Dlapa and Gregor Kälin and Zhengwen Liu and Rafael A. Porto},
journal= {arXiv preprint arXiv:2304.01275},
year = {2023}
}
Comments
50 pages + Apps and Refs (89 total). 1 computer-readable ancillary file