Searching for Kerr in the 2PM amplitude

Aoude, R. Tourinho Jadallah; Haddad, Kays; Helset, Andreas

doi:10.1007/jhep07(2022)072

Cited by 64 publications

(50 citation statements)

References 96 publications

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“…Pushing beyond fourth order in spin, Ref. [67] gave a parametrization of a spurious-pole-free Compton amplitude, using the heavy-particle EFT formalism, while enforcing consistency with general principles and with the "minimal-coupling" (black-hole) 3-point ampitudes, and while conjecturally imposing a certain "black-hole spin structure" observed at lower orders (which for 2-to-2 amplitudes is equivalent to the "shift symmetry" posited in Ref. [57]).…”

Section: Introductionmentioning

confidence: 99%

“…[76], a promising approach 1 The quintic-in-spin Compton as constrained by requiring the best-behaved high-energy limit in Ref. [67] was shown there to be at odds with a Compton derived in Ref. [68] from a Lagrangian for a massive spin-5/2 particle which is uniquely determined by its 3-point satisfying "the current constraint" (known from higher-spin theory and necessary for the existence of an underlying unitary theory) and requiring a minimal number of derivatives in the coupling.…”

Section: Introductionmentioning

confidence: 99%

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Scattering of gravitational waves off spinning compact objects with an effective worldline theory

Saketh¹,

Vines²

2022

Preprint

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We study the process, within classical general relativity, in which an incident gravitational plane wave, of weak amplitude and long wavelength, scatters off a massive spinning compact object, such as a black hole or neutron star. The amplitude of the asymptotic scattered wave, considered here at linear order in Newton's constant G while at higher orders in the object's multipole expansion, is a valuable characterization of the response of the object to external gravitational fields. This amplitude coincides with a classical ( → 0) limit of a quantum 4-point (object and graviton in, object and graviton out) gravitational Compton amplitude, at the tree (linear-in-G) level. Such treelevel Compton amplitudes are key building blocks in generalized-unitary-based approaches to the post-Minkowskian dynamics of binaries of spinning compact objects. In this paper, we compute the classical amplitude using an effective worldline theory to describe the compact object, determined by an action functional for translational and rotational degrees of freedom, including couplings of spin-induced higher multipole moments to spacetime curvature. We work here up to the levels of quadratic-in-spin quadrupole and cubic-in-spin octupole couplings, respectively involving Wilson coefficients C2 and C3. For the special case C2 = C3 = 1 corresponding to a black hole, we find agreement through cubic-in-spin order between our classical amplitude and previous conjectures arising from considerations of quantum scattering amplitudes. We also present new results for general C2 and C3, anticipating instructive comparisons with results from effective quantum theories.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Scattering of gravitational waves off spinning compact objects with an effective worldline theory

Saketh¹,

Vines²

2022

Preprint

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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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“…Complementary approaches have emerged to tackle this problem. One seeks to resolve the ambiguity in the classical regime, extrapolating patterns that emerged in the one loop conservative observables for low spin to higher spins [62][63][64]. For certain observables it was also shown that the details of the Compton amplitude can be ignored in the relevant regimes [58,65].…”

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confidence: 99%

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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Searching for Kerr in the 2PM amplitude

Cited by 64 publications

References 96 publications

Scattering of gravitational waves off spinning compact objects with an effective worldline theory

Scattering of gravitational waves off spinning compact objects with an effective worldline theory

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

Classical Limit of Higher-Spin String Amplitudes

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