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Dynamics of Spinning Binary at 2PM
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Dynamics of Spinning Binary at 2PM
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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 $\mathcal O(G^2 a^8)$. 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 $\mathcal O(G^2 a^7)$.
Forward citations
Cited by 5 Pith papers
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The gravitational Compton amplitude at third post-Minkowskian order
Gravitational Compton amplitude computed to third post-Minkowskian order via worldline EFT with infrared and forward divergences regulated to connect to black hole perturbation theory.
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In five dimensions, minimally coupled massive vector and antisymmetric tensor fields produce only mass or stress quadrupoles respectively from scattering amplitudes, failing to match the Myers-Perry black hole and dem...
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Heterotic Footprints in Classical Gravity: PM dynamics from On-Shell soft amplitudes at one loop
Derives conservative potential and scattering angle for charged black holes in EMD theory via one-loop soft amplitudes, showing IR finiteness after Lippmann-Schwinger treatment and smooth reduction to GR.
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Unexpected Symmetries of Kerr Black Hole Scattering
The work establishes conservation of several quantities in Kerr black hole scattering and presents evidence that a spinning probe satisfies asymptotic integrability to quartic spin order at all post-Minkowskian orders.
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NLO Angular Impulse and Leading Singularities to all orders in spin for Kerr Black Holes
NLO angular impulse for Kerr black holes computed to all orders in spin via KMOC formalism and leading singularities, with consistency checks and potential extraction.
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