Radiation Reaction for Non-Spinning Bodies at 4.5PN in the Effective Field Theory Approach

TL;DR

This paper computes the 4.5PN radiation reaction acceleration for non-spinning binaries using effective field theory, providing detailed corrections and consistency checks.

Contribution

It presents the first complete calculation of the 4.5PN radiation reaction for non-spinning binaries within the effective field theory framework.

Findings

Derived the 2PN correction to radiation reaction acceleration

Performed detailed center-of-mass corrections

Validated results through consistency checks

Abstract

We calculate the 2 post-Newtonian correction to the radiation reaction acceleration for non-spinning binary systems, which amounts to the 4.5 post-Newtonian correction to Newtonian acceleration. The calculation is carried out completely using the effective field theory approach. The center-of-mass corrections to the results are complicated and are discussed in detail. Non-trivial consistency checks are performed and we compare with corresponding results in the literature. Analytic results are supplied in the supplementary materials.