2021
DOI: 10.1007/jhep10(2021)118
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Classical gravitational scattering from a gauge-invariant double copy

Abstract: 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 massl… Show more

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Cited by 158 publications
(146 citation statements)
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“…(4.29), by drawing graphs with an outgoing ψ µ i line. There already has been excellent progress at 3PM order in the non-spinning case [39,71,75,114] including radiation reaction effects [41,60].…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…(4.29), by drawing graphs with an outgoing ψ µ i line. There already has been excellent progress at 3PM order in the non-spinning case [39,71,75,114] including radiation reaction effects [41,60].…”
Section: Discussionmentioning
confidence: 99%
“…Amplitudes-based approaches can employ the powerful tools developed in collider physics and have led to impressively high-order calculations without spin [44-46, 54, 59-61] and first results with spin [55,62] including radiation effects [63][64][65][66][67][68][69][70][71]. A related variant of the amplitude approach is the heavy-particle EFT [72][73][74][75], which enables a more straightforward classical limit of the amplitude from the outset.…”
Section: Jhep01(2022)027mentioning
confidence: 99%
“…Higher order corrections to Einstein's Quadrupole formula in the context of the quasi-circular orbit general relativistic two-body problem -needed to enable such detections -have traditionally been obtained in the post-Newtonian (PN) [3,4] formalism, within numerical relativity [5] and JHEP01(2022)006 black hole perturbation theory [6,7], as well as models combining these approaches [8][9][10]. More recently, however, efforts have been focused on the BBH scattering problem, in order to connect classical computations performed in the context of post-Minkowskian (PM) theory [11][12][13][14][15][16][17][18][19][20][21][22][23][24], with those approaches based on the classical limit of QFT scattering amplitudes .…”
Section: Introductionmentioning
confidence: 99%
“…Scattering bodies are accompanied by emission of gravitational Bremsstrahlung radiation [17,[59][60][61][62][63][64], which is the unbound analog of the gravitational waves emitted by inspiral binaries and is suppressed by three powers of G. Although radiation reaction effects were thoroughly investigated in the past in the Regge limit (i.e., when the centerof-mass energy is much larger than the momentum transfer) [65][66][67][68] or in association to the loss of angular momentum in the collision [69][70][71][72][73][74], the full leading-order emitted momentum has been obtained only very recently in [75,76] via the formalism of [77], which derives classical observables from quantum scattering (see also [78,79] for extensions of the formalism of [77] to spin and classical observables in Yang-Mills theories), and in [80] using the eikonal approach to classical gravitational scattering. These calculations require evaluating the classical limit of relevant two-loop Feynman integrals, that can be solved by combining different techniques borrowed from particle physics, as shown in [81], namely reduction to master integrals by Integration-by-Parts (IBP) identities [82][83][84] and differential equations [85][86][87][88] to solve the latter, using the near-static regime as initial conditions.…”
Section: Introductionmentioning
confidence: 99%