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Radiative contribution to classical gravitational scattering at the third order in $G$
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abstract
Working within the post-Minkowskian approach to General Relativity, we prove that the radiation-reaction to the emission of gravitational waves during the large-impact-parameter scattering of two (classical) point masses modifies the conservative scattering angle by an additional contribution of order $G^3$ which involves a high-energy (or massless) logarithmic divergence of opposite sign to the one contained in the third-post-Minkowskian result of Bern et al. [Phys. Rev. Lett. {\bf 122}, 201603 (2019)]. The high-energy limit of the resulting radiation-reaction-corrected (classical) scattering angle is finite, and is found to agree with the one following from the (quantum) eikonal-phase result of Amati, Ciafaloni and Veneziano [ Nucl. Phys. B {\bf 347}, 550 (1990)].
Forward citations
Cited by 16 Pith papers
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Kerr Soft Dressing and the $w_{1+\infty}$ Frame Algebra at Null Infinity
The Kerr soft exponent generates a parity-alternating hierarchy of null-infinity frame generators—displacement memory at s=0, spin memory at s=1, and higher moments alternating by Kerr multipole parity—realized as the...
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The gravitational Compton amplitude at third post-Minkowskian order
Gravitational Compton amplitude computed to third post-Minkowskian order via worldline EFT with infrared and forward divergences regulated to connect to black hole perturbation theory.
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Conservative Black Hole Scattering at Fifth Post-Minkowskian and Second Self-Force Order
The conservative black-hole scattering angle at fifth post-Minkowskian and second self-force order is computed in terms of K3 periods, but contains a coefficient fixed only by an ad hoc 'γ-3' prescription.
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Resumming Scattering Amplitudes for Waveforms
A new projector-based formalism determines effective potentials from perturbative amplitudes and resums them to compute non-perturbative gravitational waveforms for generic two-body trajectories.
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Analytic structure of the high-energy gravitational amplitude: multi-H diagrams and classical 5PM logarithms
Computes the leading double logarithm at 5PM in the high-energy gravitational amplitude via multi-H diagrams and dispersion relations, extracting the single-log imaginary part of the eikonal phase.
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Generalized Unitarity Method for Worldline Field Theory
Worldline gravitational observables can be bootstrapped from locality, unitarity, gauge invariance, and a soft theorem once worldline energies are complexified, reproducing the known O(G^5/2) waveform and O(G^3) on-sh...
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A Runway to Dissipation of Angular Momentum via Worldline Quantum Field Theory
The authors introduce static correlators in worldline QFT to compute angular momentum dissipation in black hole scattering, reproducing the known O(G^3) flux and extending the approach to electromagnetism at O(α^3).
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Black Hole Response Theory and its Exact Shockwave Limit
Black hole response theory in WQFT exactly reproduces the Aichelburg-Sexl shockwave metric, geodesics, and the transfer matrix for gravitational-wave scattering off it via post-Minkowskian resummation.
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Resummed energy loss in extreme-mass-ratio scattering using critical orbits
Near-separatrix logarithmic divergence, anchored by fitted unstable-circular-orbit fluxes, yields resummed formulas for energy loss in extreme-mass-ratio scattering that track exact numerical calculations to about 10-25%.
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"Waveforms" at the Horizon
A probe scattering off a Schwarzschild black hole transfers a definite leading-order post-Minkowskian angular momentum to the horizon, given by new closed formulas (3.24b), (3.29), (3.36).
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Heterotic Footprints in Classical Gravity: PM dynamics from On-Shell soft amplitudes at one loop
Derives conservative potential and scattering angle for charged black holes in EMD theory via one-loop soft amplitudes, showing IR finiteness after Lippmann-Schwinger treatment and smooth reduction to GR.
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$w_{1+\infty}$ as the Frame Algebra of Kerr Soft Dressing
Kerr soft dressing exponentiates into a parity-alternating tower of frame shifts whose chiral-projected composition law is the w1+∞ bracket, solved in closed form for aligned spin.
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Gravitational radiation from hyperbolic orbits: comparison between self-force, post-Minkowskian, post-Newtonian, and numerical relativity results
Self-force calculations of radiated gravitational wave energy from hyperbolic orbits around Schwarzschild black holes agree with post-Minkowskian results for large impact parameters and velocities up to 0.7c, with fur...
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Lorentz Covariant Supertranslation Frames for the Angular Momentum Aspect
Angular momentum in GR is made unambiguous by fixing supertranslation frames through the center-of-mass condition J_{\mu\nu}P^\nu=0, extended covariantly to the final state via P^i_\mu P^f_\nu J^{f\mu\nu}=0.
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Frames and Slicings for Angular Momentum in Post-Minkowski Scattering
Hyperboloidal slices and distinct early/late BMS transformations reconcile mass moment calculations in post-Minkowski scattering and support a conjectured all-order flux balance law.
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The Science of the Einstein Telescope
The paper provides state-of-the-art predictions for the Einstein Telescope's impact on fundamental physics, cosmology, compact-object astrophysics, and multi-messenger astronomy across its proposed configurations.
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