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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 22 Pith papers
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Spinning the Probe in Kerr with WQFT
Using worldline quantum field theory, the authors derive the impulse and spin kick for a spinning probe scattering in Kerr spacetime through seventh physical post-Minkowskian order.
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Radiation-Reaction and Angular Momentum Loss at $\mathcal{O}(G^4)$
A closed-form, all-velocity expression for the O(G^4) radiated angular momentum in two-body gravitational scattering is derived, resumming all half-odd post-Newtonian corrections.
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Supertranslations are Soft Dressings
Coherent-state dressings by zero-energy gravitons are equivalent to BMS supertranslations, and the associated conserved charge produces a universal, all-orders shift of the scattering impact parameter.
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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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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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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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High-post-Newtonian-order dynamical effects induced by tail-of-tail interactions in a two body system
The paper derives 6.5PN tail-of-tail contributions to binary dynamics and finds agreement with independent self-force and worldline-EFT results.
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Nonlinear Gravitational Memory in the Post-Minkowskian Expansion
Exact-in-velocity formulas for the O(G^3) nonlinear gravitational memory multipoles from two-body scattering, derived with scattering amplitudes and reverse unitarity, and matched to post-Newtonian results.
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Higher-spin effects in black hole and neutron star binary dynamics: worldline supersymmetry beyond minimal coupling
By adding non-minimal couplings to a supersymmetric worldline model, the authors derive new higher-spin Hamiltonians, including an all-order-in-spin Kerr Hamiltonian in 4D and a cubic-in-spin Hamiltonian in arbitrary ...
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Generalized Wilson lines and the gravitational scattering of spinning bodies
A new generalized Wilson line representation for spin-1/2 and classical spinning bodies is derived, reproducing known 2PM gravitational scattering observables.
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Spinning bodies in general relativity from bosonic worldline oscillators
A bosonic-oscillator worldline action for spinning compact bodies in general relativity is constructed, and it reproduces known post-Minkowskian scattering results while remaining valid to all orders in spin.
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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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Scattering of a point mass by a Schwarzschild black hole: radiated energy and angular momentum
The 5PM-1SF radiated energy and the complete 4PM-1SF radiated angular momentum to 7PN order are derived for a point mass scattering off a Schwarzschild black hole, along with the resulting 5PM radiation-reacted scatte...
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High Precision Black Hole Scattering: Tutti Frutti vs Worldline Effective Field Theory
The Tutti Frutti and Worldline Effective Field Theory formalisms agree for black hole scattering through fifth post-Minkowskian order, with new second-self-force predictions for two gauge-invariant observables.
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Classical Observables from Causal Response Functions
Asymptotic in-in observables are computed from a soft limit of five-point causal response functions, reproducing KMOC results and resolving the radiated angular momentum ambiguity in scalar QED.
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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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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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Dictionary revision for mapping boundary data to bound states
A revised boundary-to-bound dictionary, using p_inf^2 -> p_inf^2 e^(-i pi), makes fourth-order post-Minkowskian bound-orbit observables real and matches numerical relativity binding energies for mass ratios 1 and 10.
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Strong Field Scattering of Black Holes: Assessing Resummation Strategies
High-energy equal-mass black hole scattering data show that L-resummation, weob, and SEOB-PM models all develop pathological behavior, with NR-calibrated pseudo-5PM corrections and Padé-resummed EOB potentials offerin...
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ADM, BMS, and some puzzling interconnections
A perspective paper on ADM/BMS interconnections that separates radiative and static angular-momentum loss, and uses an explicit O(G) example to show antipodal energy matching at i0 is not actual energy flow.
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Classical Black Hole Scattering to Celestial Amplitudes in Effective Theories of Gravity
A doctoral thesis reproduces the author's published post-Newtonian and post-Minkowskian two-body observables and celestial amplitudes in scalar-tensor, Chern-Simons, Einstein-Maxwell-dilaton, and quadratic gravity.
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