Gravitational Raman Scattering in Effective Field Theory: A Scalar Tidal Matching at 
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Ivanov, Mikhail M.; Li, Yue-Zhou; Parra-Martinez, Julio; Zhou, Zihan

doi:10.1103/physrevlett.132.131401

Phys. Rev. Lett.

2024

DOI: 10.1103/physrevlett.132.131401

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Gravitational Raman Scattering in Effective Field Theory: A Scalar Tidal Matching at O(G3)

Mikhail M. Ivanov,

Yue-Zhou Li,

Julio Parra-Martinez

et al.

Abstract: We present a framework to compute amplitudes for the gravitational analog of the Raman process, a quasielastic scattering of waves off compact objects, in worldline effective field theory. As an example, we calculate third post-Minkowskian order [O(G3)], or two-loop, phase shifts for the scattering of a massless scalar field including all tidal effects and dissipation. Our calculation unveils two sources of the classical renormalization-group flow of dynamical Love numbers: a universal running independent of t… Show more

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2024

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Cited by 10 publications

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Gravitational scattering and beyond from extreme mass ratio effective field theory

Cheung,

Parra-Martinez,

Rothstein

et al. 2024

J. High Energ. Phys.

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We explore a recently proposed effective field theory describing electromagnetically or gravitationally interacting massive particles in an expansion about their mass ratio, also known as the self-force (SF) expansion. By integrating out the deviation of the heavy particle about its inertial trajectory, we obtain an effective action whose only degrees of freedom are the lighter particle together with the photon or graviton, all propagating in a Coulomb or Schwarzschild background. The 0SF dynamics are described by the usual background field method, which at 1SF is supplemented by a “recoil operator” that encodes the wobble of the heavy particle, and similarly computable corrections appearing at 2SF and higher. Our formalism exploits the fact that the analytic expressions for classical backgrounds and particle trajectories encode dynamical information to all orders in the couplings, and from them we extract multiloop integrands for perturbative scattering. As a check, we study the two-loop classical scattering of scalar particles in electromagnetism and gravity, verifying known results. We then present new calculations for the two-loop classical scattering of dyons, and of particles interacting with an additional scalar or vector field coupling directly to the lighter particle but only gravitationally to the heavier particle.

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Gravitational scattering and beyond from extreme mass ratio effective field theory

Cheung,

Parra-Martinez,

Rothstein

et al. 2024

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

Black hole perturbation theory meets CFT2 : Kerr-Compton amplitudes from Nekrasov-Shatashvili functions

Bautista,

Bonelli,

Iossa

et al. 2024

Phys. Rev. D

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We present a novel study of Kerr Compton amplitudes in a partial wave basis in terms of the Nekrasov-Shatashvili (NS) function of the confluent Heun equation (CHE). Remarkably, NS-functions enjoy analytic properties and symmetries that are naturally inherited by the Compton amplitudes. Based on this, we characterize the analytic dependence of the Compton phase shift in the Kerr spin parameter and provide a direct comparison to the standard post-Minkowskian (PM) perturbative approach within general relativity (GR). We also analyze the universal large frequency behavior of the relevant characteristic exponent of the CHE—also known as the renormalized angular momentum—and find agreement with numerical computations. Moreover, we discuss the analytic continuation in the harmonics quantum number ℓ of the partial wave, and show that the limit to the physical integer values commutes with the PM expansion of the observables. Finally, we obtain the contributions to the tree-level, point-particle, gravitational Compton amplitude in a covariant basis through O(aBH8), without the need to take the superextremal limit for Kerr spin. Published by the American Physical Society 2024

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Black hole scattering near the transition to plunge: Self-force and resummation of post-Minkowskian theory

Long,

Whittall,

Barack

2024

Phys. Rev. D

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Geodesic scattering of a test particle off a Schwarzschild black hole can be parametrized by the speed-at-infinity v and the impact parameter b, with a “separatrix,” b=bc(v), marking the threshold between scattering and plunge. Near the separatrix, the scattering angle diverges as ∼log(b−bc). The self-force correction to the scattering angle (at fixed v, b) diverges even faster, like ∼A1(v)bc/(b−bc). Here we numerically calculate the divergence coefficient A1(v) in a scalar-charge toy model. We then use our knowledge of A1(v) to inform a resummation of the post-Minkowskian expansion for the scattering angle, and demonstrate that the resummed series agrees remarkably well with numerical self-force results even in the strong-field regime. We propose that a similar resummation technique, applied to a mass particle subject to a gravitational self-force, can significantly enhance the utility and regime of validity of post-Minkowskian calculations for black-hole scattering. Published by the American Physical Society 2024

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Gravitational Raman Scattering in Effective Field Theory: A Scalar Tidal Matching at O(G3)

Cited by 10 publications

References 62 publications

Gravitational scattering and beyond from extreme mass ratio effective field theory

Gravitational scattering and beyond from extreme mass ratio effective field theory

Black hole perturbation theory meets CFT2 : Kerr-Compton amplitudes from Nekrasov-Shatashvili functions

Black hole scattering near the transition to plunge: Self-force and resummation of post-Minkowskian theory

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