The 2PM Hamiltonian for binary Kerr to quartic in spin

Chen, Wei-Ming; Chung, Ming-Zhi; Huang, Yu-tin; Kim, Jung-Wook

doi:10.1007/jhep08(2022)148

Cited by 59 publications

(34 citation statements)

References 118 publications

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“…The NLO quartic-in-spin results[5,47,48] have not yet been conclusively shown to correspond to classical black holes, but they are consistent with available partial constraints from matching to self-force calculations[44].…”

mentioning

confidence: 75%

“…Conservative observables for spinning black holes have since been studied in a variety of different frameworks, including higher-spin effective field theories and worldline quantum field theory [39][40][41][42][43]. The current state of the art for spinning observables at NLO (one loop) corresponds to quartic order in spin [5,6,39,[44][45][46][47][48] and, at NNLO (two loop), quadratic order in spin [42,49]. 1 Moreover, recent work extends beyond black holes by including tidal deformations [50,51] and going beyond conservative dynamics to the study of radiative observables, such as the waveform and the power emitted by a binary system [41,[52][53][54][55][56][57][58].…”

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confidence: 99%

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Classical Limit of Higher-Spin String Amplitudes

Cangemi¹,

Pichini²

2022

Preprint

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It has been shown that a special set of three-point amplitudes between two massive spinning states and a graviton reproduces the linearised stress-energy tensor for a Kerr black hole in the classical limit. In this work we revisit this result and compare it to the analysis of the amplitudes describing the interaction of leading Regge states of the open and closed superstring. We find an all-spin result for the classical limit of two massive spinning states interacting with a photon or graviton. This result differs from Kerr and instead matches the current four-vector and the stress-energy tensor generated by a classical string coupled to electromagnetism and gravity respectively. For the superstring amplitudes, contrary to the black-hole case, we find that the spin to infinity limit is necessary to reproduce the classical spin multipoles.

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confidence: 75%

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confidence: 99%

Classical Limit of Higher-Spin String Amplitudes

Cangemi¹,

Pichini²

2022

Preprint

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“…In a historical perspective, perhaps one way to deepen our understanding would be to investigate subleading soft theorems for external particles with higher spin. This is certainly an issue that deserves further studies, and indeed different and fascinating works are gaining grounds on this matter [53,54,96,97,[130][131][132]. An easier task would be to build up on the results of section 5 to incorporate higher spin orders in the light body.…”

Section: Discussionmentioning

confidence: 99%

NLO deflections for spinning particles and Kerr black holes

Menezes

Sergola

2022

J. High Energ. Phys.

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We employ the “KMOC” formalism of [1] to compute classical momentum deflections of spinning bodies with arbitrary spin orientations up to next-to-leading order (one loop). We do this in electrodynamics and gravity. The final result, valid for generic masses, is true for all spins at tree level and up to second (fourth) spin order for the electromagnetic (gravity) case at one loop. Furthermore, emphasis is given to the probe limit scenario where our results extend to all spin orders in the heavy source, even at next-to-leading order. We carry out our computations both using a unitarity based framework and Feynman diagrammatic approach which relies on scattering amplitudes computed on fixed backgrounds.

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“…[76][77][78][79] for recent reviews. Scattering amplitudes have now been applied for deriving a number of state-of-the-art predictions in the PM expansion (fixed order in G and all-orders in velocity), such as the 2-body Hamiltonian at 3PM [80,81] and 4PM [82,83], as well as for modeling spin [84][85][86][87][88][89][90][91][92][93][94][95][96][97][98][99][100], tidal corrections [101][102][103][104][105][106], and radiative effects [107][108][109][110][111][112][113][114][115].…”

Section: Introductionmentioning

confidence: 99%

Scattering Amplitudes and N-Body Post-Minkowskian Hamiltonians in General Relativity and Beyond

Jones¹,

Solon²

2022

Preprint

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We present a general framework for calculating post-Minskowskian, classical, conservative Hamiltonians for N non-spinning bodies in general relativity from relativistic scattering amplitudes. Novel features for N > 2 are described including the subtraction of tree-like iteration contributions and the calculation of non-trivial many-body Fourier transform integrals needed to construct position space potentials. A new approach to calculating these integrals as an expansion in the hierarchical limit is described based on the method of regions. As an explicit example, we present the O G 2 3-body momentum space potential in general relativity as well as for charged bodies in Einstein-Maxwell. The result is shown to be in perfect agreement with previous post-Newtonian calculations in general relativity up to O G 2 v 4 . Furthermore, in appropriate limits the result is shown to agree perfectly with relativistic probe scattering in multi-center extremal black hole backgrounds and with the scattering of slowly-moving extremal black holes in the moduli space approximation.

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The 2PM Hamiltonian for binary Kerr to quartic in spin

Cited by 59 publications

References 118 publications

Classical Limit of Higher-Spin String Amplitudes

Classical Limit of Higher-Spin String Amplitudes

NLO deflections for spinning particles and Kerr black holes

Scattering Amplitudes and N-Body Post-Minkowskian Hamiltonians in General Relativity and Beyond

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