Work

Dynamics of spinning binary at 2PM

Year: 2024
Type: article
Abstract: A bstract We consider the covariant proposal for the gravitational Compton amplitude for a Kerr black hole. Employing the covariant three- and four-point Compton amplitudes, we assemble the classical one-loop integrand on the maximal cut at all orders in spin, utilizing the method of unitarity. Expanding in powers of spin, we evaluate the one-loop amplitude up to $$ \mathcal{O}\left({G}^2{a}^8\right) $$ O G 2 a 8 . Supplemented with extra contact contributions derived from the far-zone data of the Teukolsky solutions, the one-loop amplitude is in agreement with results available in the literature. We showcase the classical eikonal in the aligned-spin case at $$ \mathcal{O}\left({G}^2{a}^7\right) $$ O G 2 a 7 .
Language: English
Open Access status: diamond
OpenAlex ID: W4406092669
FWCI: 0.72
Cites: 161
Cited by: 10
Related to: 10