Dynamics of Spinning Binary at 2PM

2024/06/13 by Chen, Gang, Wang, Tianheng · 5 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2406.09086

Abstract

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(G² a⁸). 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(G² a⁷).

Cited by

• Scattering Gravitons off General Spinning Compact Objects to O(G² S⁴)
• Heterotic Footprints in Classical Gravity: PM dynamics from On-Shell soft amplitudes at one loop
• Unexpected Symmetries of Kerr Black Hole Scattering
• The gravitational Compton amplitude from flat and curved spacetimes at second post-Minkowskian order
• Searching for Kerr in string amplitudes

Related

• Dynamics for Super-Extremal Kerr Binary Systems at \cal O(G²)
• Binary Kerr black-hole scattering at 2PM from quantum higher-spin Compton
• Searching for Kerr in the 2PM amplitude
• Kerr binary dynamics from minimal coupling and double copy
• Kerr binary dynamics from minimal coupling and double copy