Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
read the original abstract
We present the amplitude for classical scattering of gravitationally interacting massive scalars at third post-Minkowskian order. Our approach harnesses powerful tools from the modern amplitudes program such as generalized unitarity and the double-copy construction, which relates gravity integrands to simpler gauge-theory expressions. Adapting methods for integration and matching from effective field theory, we extract the conservative Hamiltonian for compact spinless binaries at third post-Minkowskian order. The resulting Hamiltonian is in complete agreement with corresponding terms in state-of-the-art expressions at fourth post-Newtonian order as well as the probe limit at all orders in velocity. We also derive the scattering angle at third post-Minkowskian order.
This paper has not been read by Pith yet.
Forward citations
Cited by 22 Pith papers
-
Black-Hole Scattering in Einstein-scalar-Gauss-Bonnet: Numerical Relativity Meets Analytics
Numerical relativity simulations of black hole scattering in Einstein-scalar-Gauss-Bonnet gravity agree closely with effective-one-body analytic predictions.
-
Nonlocal-in-time tail effects in gravitational scattering to fifth Post-Minkowskian and tenth self-force orders
Nonlocal-in-time conservative tail contributions to gravitational scattering are derived at 5PM and 10SF orders, expressed via polylogarithms up to weight three and agreeing with prior results through 6PN.
-
Emergence of Calabi-Yau manifolds in high-precision black hole scattering
At 5PM-1SF order, Calabi-Yau three-fold periods emerge in radiation-reacted observables for classical black hole scattering computed with worldline QFT and advanced IBP/DE methods.
-
Gravitational Sommerfeld Effects: Formalism, Renormalization, and Perturbation to $O(G^{10})$
Closed-form Sommerfeld factor via EFT connection matrix with analytic O(G^10) magnitude and phase for l=0,1,2 waves, plus a new RG equation for radiative multipole moments that improves waveform resummation beyond tai...
-
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.
-
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.
-
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.
-
Hidden simplicity in the scattering for neutron stars and black holes
Authors define Kerr generating functions for all-loop scattering on Kerr black holes and apply them to compute leading non-linear tidal effects of neutron stars up to four loops in gravity.
-
The third wheel: ringdown and lensing of triple systems
Numerical relativity simulations of triple black hole systems reveal redshift effects and gravitational lensing in ringdown signals from head-on mergers, with no additional black hole formation from amplified waves.
-
The Classical Gravitational Impulse at High Energies
The gravitational impulse for ultrarelativistic massive scalars is resummed to all orders in G_N at fixed G_N s/mb, recovering post-Minkowski results and predicting the leading high-energy behavior to eleventh post-Mi...
-
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).
-
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.
-
All-order structure of static gravitational interactions and the seventh post-Newtonian potential
A closed formula computes static post-Newtonian corrections at arbitrary odd orders in gravity, yielding the explicit seventh post-Newtonian potential that matches an independent diagrammatic method.
-
Residual Symmetries and Their Algebras in the Kerr-Schild Double Copy
The Kerr-Schild double copy enlarges residual symmetries at the ansatz level but preserves physical symmetries after cohomological reduction, exposing a mismatch between Yang-Mills and gravity residual symmetry structures.
-
Analytic self-force effects on radial infalling particles in the Schwarzschild spacetime: the radiated energy
First-order self-force analytic result for the total radiated energy of a radial infall from rest in Schwarzschild spacetime, for scalar and gravitational cases.
-
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.
-
Unexpected Symmetries of Kerr Black Hole Scattering
The work establishes conservation of several quantities in Kerr black hole scattering and presents evidence that a spinning probe satisfies asymptotic integrability to quartic spin order at all post-Minkowskian orders.
-
Residual Symmetries and Their Algebras in the Kerr-Schild Double Copy
The Kerr-Schild double copy does not map residual symmetries between Yang-Mills and gravity; gravitational conformal Killing vectors are shown to be BRST-exact after a Weyl-compensated complex, leaving only global isometries.
-
A complex-linear reformulation of Hamilton-Jacobi theory and emergent quantum structure
Embedding classical Hamilton-Jacobi amplitude and phase into a complex field yields a linear equation from which quantum mechanics emerges structurally when the real part of a scaling parameter is nonzero.
-
UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.
-
Iterative Solution of the Kerr Black Hole Metric
A double perturbative expansion of the Kerr metric is obtained by recursively solving the Einstein equations in harmonic gauge to arbitrary order in G and a, with re-summation requiring redundant harmonic coordinate terms.
-
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.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.