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  Scattering of Spinning Black Holes from Exponentiated Soft Factors

Guevara, A., Ochirov, A., & Vines, J. (in preparation). Scattering of Spinning Black Holes from Exponentiated Soft Factors.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-BB91-7 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-EC9B-6
Genre: Paper

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1812.06895.pdf (Preprint), 688KB
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 Creators:
Guevara, Alfredo, Author
Ochirov, Alexander, Author
Vines, Justin1, Author              
Affiliations:
1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1933290              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
 Abstract: We provide evidence that the classical scattering of two spinning black holes is controlled by the soft expansion of exchanged gravitons. We show how an exponentiation of Cachazo-Strominger soft factors, acting on massive higher-spin amplitudes, can be used to find spin contributions to the aligned-spin scattering angle through one-loop order. The extraction of the classical limit is accomplished via the on-shell leading-singularity method and using massive spinor-helicity variables. The three-point amplitude for arbitrary-spin massive particles minimally coupled to gravity is expressed in an exponential form, and in the infinite-spin limit it matches the stress-energy tensor of the linearized Kerr solution. A four-point gravitational Compton amplitude is obtained from an extrapolated soft theorem, equivalent to gluing two exponential three-point amplitudes, and becomes itself an exponential operator. The construction uses these amplitudes to: 1) recover the known tree-level scattering angle at all orders in spin, 2) match previous computations of the one-loop scattering angle up to quadratic order in spin, 3) lead to new one-loop results through quartic order in spin. These connections map the computation of higher-multipole interactions into the study of deeper orders in the soft expansion.

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 Dates: 2018-12-17
 Publication Status: Not specified
 Pages: 28 pages + appendices + refs, 3 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1812.06895
URI: http://arxiv.org/abs/1812.06895
 Degree: -

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