Classical gravitational scattering from a gauge-invariant double copy

A bstract We propose a method to compute the scattering angle for classical black hole scattering directly from two massive particle irreducible diagrams in a heavy-mass effective field theory approach to general relativity, without the need of subtracting iteration terms. The amplitudes in this eff...

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Veröffentlicht in:The journal of high energy physics Jg. 2021; H. 10; S. 1 - 51
Hauptverfasser: Brandhuber, Andreas, Chen, Gang, Travaglini, Gabriele, Wen, Congkao
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 15.10.2021
Springer Nature B.V
SpringerOpen
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ISSN:1029-8479, 1029-8479
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Zusammenfassung:A bstract We propose a method to compute the scattering angle for classical black hole scattering directly from two massive particle irreducible diagrams in a heavy-mass effective field theory approach to general relativity, without the need of subtracting iteration terms. The amplitudes in this effective theory are constructed using a recently proposed novel colour-kinematic/double copy for tree-level two-scalar, multi-graviton amplitudes, where the BCJ numerators are gauge invariant and local with respect to the massless gravitons. These tree amplitudes, together with graviton tree amplitudes, enter the construction of the required D -dimensional loop integrands and allow for a direct extraction of contributions relevant for classical physics. In particular the soft/heavy-mass expansions of full integrands is circumvented, and all iterating contributions can be dropped from the get go. We use this method to compute the scattering angle up to third post-Minkowskian order in four dimensions, including radiation reaction contributions, also providing the expression of the corresponding integrand in D dimensions.
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2021)118