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Related papers: Scattering Amplitudes and Conservative Binary Dyna…

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We present the contribution from potential interactions to the dynamics of non-spinning binaries to fourth Post-Minkowskian (4PM) order. This is achieved by computing the scattering angle to ${\cal O}(G^4)$ using the effective field theory…

High Energy Physics - Theory · Physics 2022-06-01 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

By combining the KMOC-formalism with the exponential representation of the scattering matrix we show that the two-body scattering angle is given by the corresponding matrix element of the exponential representation. This holds to all orders…

High Energy Physics - Theory · Physics 2023-08-22 Poul H. Damgaard , Elias Roos Hansen , Ludovic Planté , Pierre Vanhove

We compute the scattering angle $\chi$ for hyperboliclike encounters in massless Scalar-Tensor (ST) theories up to third post-Newtonian (PN) order for the conservative part of the dynamics. To calculate the gauge-invariant scattering angle…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Tamanna Jain

Building upon the worldline effective field theory (EFT) formalism for spinning bodies developed for the Post-Newtonian regime, we generalize the EFT approach to Post-Minkowskian (PM) dynamics to include rotational degrees of freedom in a…

High Energy Physics - Theory · Physics 2022-05-30 Zhengwen Liu , Rafael A. Porto , Zixin Yang

We extract the long-range gravitational potential between two scalar particles with arbitrary masses from the two-to-two elastic scattering amplitude at 2nd Post-Minkowskian order in arbitrary dimensions. In contrast to the four-dimensional…

High Energy Physics - Theory · Physics 2020-08-26 Andrea Cristofoli , Poul H. Damgaard , Paolo Di Vecchia , Carlo Heissenberg

We obtain a first order post-Minkowskian two-body effective potential whose post-Newtonian expansion directly reproduces the Einstein-Infeld-Hoffmann potential. Post-Minkowskian potentials can be extracted from on-shell scattering…

High Energy Physics - Theory · Physics 2021-02-03 Gianluca Grignani , Troels Harmark , Marta Orselli , Andrea Placidi

In this work the worldline quantum field theory (WQFT) approach to computing observables of the classical general relativistic two-body system is presented. Compact bodies such as black holes or neutron stars are described in an effective…

High Energy Physics - Theory · Physics 2023-08-09 Gustav Uhre Jakobsen

We compute the 5PM order contributions to the scattering angle and impulse of classical black hole scattering in the conservative sector at first self-force order (1SF) using the worldline quantum field theory formalism. This challenging…

High Energy Physics - Theory · Physics 2024-05-16 Mathias Driesse , Gustav Uhre Jakobsen , Gustav Mogull , Jan Plefka , Benjamin Sauer , Johann Usovitsch

Leveraging scattering information to describe binary systems in generic orbits requires identifying local- and nonlocal-in-time tail effects. We report here the derivation of the universal (non-spinning) local-in-time conservative dynamics…

High Energy Physics - Theory · Physics 2024-05-07 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

The study of scattering encounters continues to provide new insights into the general relativistic two-body problem. The local-in-time conservative dynamics of an aligned-spin binary, for both unbound and bound orbits, is fully encoded in…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Andrea Antonelli , Chris Kavanagh , Mohammed Khalil , Jan Steinhoff , Justin Vines

We compute the contribution to the two-body scattering angle of a specific class of interactions involving the exchange of gravitational radiative degrees of freedom, including the nonlinear memory process and square of radiation reaction…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Gabriel Luz Almeida , Stefano Foffa , Riccardo Sturani

We develop a formalism to compute non-perturbative 5-point scattering amplitudes and apply it to gravitational waveforms in the two-body problem for arbitrary trajectories. Drawing inspiration from Feshbach's projector formalism in nuclear…

High Energy Physics - Theory · Physics 2026-04-21 Katsuki Aoki , Andrea Cristofoli

Waveforms are classical observables associated with any radiative physical process. Using scattering amplitudes, these are usually computed in a weak-field regime to some finite order in the post-Newtonian or post-Minkowskian approximation.…

High Energy Physics - Theory · Physics 2023-07-19 Tim Adamo , Andrea Cristofoli , Anton Ilderton , Sonja Klisch

We develop an Effective Field Theory (EFT) formalism to solve for the conservative dynamics of binary systems in gravity via Post-Minkowskian (PM) scattering data. Our framework combines a systematic EFT approach to compute the deflection…

High Energy Physics - Theory · Physics 2020-12-30 Gregor Kälin , Rafael A. Porto

We compute the four-momentum radiated during the scattering of two spinless bodies, at leading order in the Newton's contant $G$ and at all orders in the velocities, using the Effective Field Theory worldline approach. Following…

High Energy Physics - Theory · Physics 2022-07-29 Massimiliano Maria Riva , Filippo Vernizzi

Using the ${\mathcal N}=1$ supersymmetric, spinning worldline quantum field theory formalism we compute the conservative spin-orbit part of the momentum impulse $\Delta p_i^\mu$, spin kick $\Delta S_i^\mu$ and scattering angle $\theta$ from…

High Energy Physics - Theory · Physics 2023-10-23 Gustav Uhre Jakobsen , Gustav Mogull , Jan Plefka , Benjamin Sauer , Yingxuan Xu

We obtain the total impulse in the scattering of non-spinning binaries in general relativity at fourth Post-Minkowskian order, i.e. ${\cal O}(G^4)$, including linear, nonlinear, and hereditary radiation-reaction effects. We derive the total…

High Energy Physics - Theory · Physics 2023-03-29 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Jakob Neef , Rafael A. Porto

Exploiting simple yet remarkable properties of relativistic gravitational scattering, we use first-order self-force (linear-in-mass-ratio) results to obtain arbitrary-mass-ratio results for the complete third-subleading post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Andrea Antonelli , Chris Kavanagh , Mohammed Khalil , Jan Steinhoff , Justin Vines

We treat general relativity as an effective field theory, obtaining the full nonanalytic component of the scattering matrix potential to one-loop order. The lowest order vertex rules for the resulting effective field theory are presented…

High Energy Physics - Theory · Physics 2014-11-18 N. E. J Bjerrum-Bohr , John F. Donoghue , Barry R. Holstein

We present the first computation of the nonlinear gravitational memory waveform for the scattering of two compact objects in General Relativity at leading order in the post-Minkowskian expansion. We use the scattering-amplitudes-based…

High Energy Physics - Theory · Physics 2025-06-27 Alessandro Georgoudis , Vasco Goncalves , Carlo Heissenberg , Julio Parra-Martinez