A tale of tails through generalized unitarity

TL;DR

This paper develops a new framework using effective field theory and generalized unitarity to analyze high-order tail effects in gravitational radiation from binaries, advancing the understanding of complex post-Newtonian dynamics.

Contribution

It introduces a novel approach combining multi-loop calculations and unitarity methods to derive higher-order tail effects in gravitational wave emission.

Findings

Derived the third subleading tail effect at four-loop level

Extended the post-Newtonian expansion to seventh order

Provided new insights into high-order radiation-reaction effects

Abstract

We introduce a novel framework to study high-order gravitational effects on a binary from the scattering of its emitted gravitational radiation. Here we focus on the radiation-reaction due to the background of the binary's gravitational potential, namely on the so-called tail effects, as the starting point to this type of scattering effects. We start from the effective field theory of a binary composite-particle. Through multi-loop and generalized-unitarity methods, we derive the causal effective actions of the dynamical multipoles, the energy spectra, and the observable flux, due to these effects. We proceed through the third subleading such radiation-reaction effect, at the four-loop level and seventh order in post-Newtonian gravity, shedding new light on the higher-order effects, and pushing the state of the art.