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Journal Article
Bootstrapping the relativistic two-body problem
2023
Overview
A
bstract
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.
O
(
G
4
), including conservative and dissipative effects.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
