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

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.

23 pages. 1 ancillary file (wl format)

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• Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates
• General Fourier expansion of post-Newtonian binary dynamics based on a quasi-Keplerian framework