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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

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

Scalar-tensor theories are one of the most natural and well-constrained alternative theories of gravity, while still allowing for significant deviations from general relativity. We present the equations of motion of nonspinning compact…

General Relativity and Quantum Cosmology · Physics 2023-03-02 Laura Bernard

Using a recently developed effective field theory formalism for extreme mass ratios [2308.14832], we present a calculation of charged black hole scattering at third post-Minkowskian order. The charges and masses are kept arbitrary, and the…

High Energy Physics - Theory · Physics 2024-06-03 Jordan Wilson-Gerow

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 reproduce the two-body gravitational conservative dynamics at third post-Newtonian order for spin-less sources by using the effective field theory methods for the gravitationally bound two-body system, proposed by Goldberger and…

General Relativity and Quantum Cosmology · Physics 2015-03-19 S. Foffa , R. Sturani

We study two-to-two scattering amplitudes of a scalar particle of mass $m$. For simplicity, we assume the presence of $\mathbb{Z}_2$ symmetry and that the particle is $\mathbb{Z}_2$ odd. We consider two classes of amplitudes: the fully…

High Energy Physics - Theory · Physics 2023-01-04 Hongbin Chen , A. Liam Fitzpatrick , Denis Karateev

Using the worldline quantum field theory formalism, we compute the conservative scattering angle and impulse for classical black hole scattering at fifth post-Minkowskian (5PM) order by providing the second self-force (2SF) contributions.…

High Energy Physics - Theory · Physics 2026-02-04 Mathias Driesse , Gustav Uhre Jakobsen , Gustav Mogull , Christoph Nega , Jan Plefka , Benjamin Sauer , Johann Usovitsch

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

We extend the Post-Minkowskian (PM) effective field theory (EFT) approach to incorporate conservative and dissipative radiation-reaction effects in a unified framework. This is achieved by implementing the Schwinger-Keldysh "in-in"…

High Energy Physics - Theory · Physics 2023-02-15 Gregor Kälin , Jakob Neef , Rafael A. Porto

We present a framework to compute amplitudes for the gravitational analog of the Raman process, a quasi-elastic scattering of waves off compact objects, in worldline effective field theory (EFT). As an example, we calculate third…

High Energy Physics - Theory · Physics 2025-02-25 Mikhail M. Ivanov , Yue-Zhou Li , Julio Parra-Martinez , Zihan Zhou

We study the gravitational radiation emitted during the scattering of two spinless bodies in the post-Minkowskian Effective Field Theory approach. We derive the conserved stress-energy tensor linearly coupled to gravity and the classical…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Stavros Mougiakakos , Massimiliano Maria Riva , Filippo Vernizzi

Using scattering amplitudes, we obtain the potential contributions to conservative binary dynamics in general relativity at fourth post-Minkowskian order, ${\cal O}(G^4)$. As in previous lower-order calculations, we harness powerful tools…

High Energy Physics - Theory · Physics 2021-05-20 Zvi Bern , Julio Parra-Martinez , Radu Roiban , Michael S. Ruf , Chia-Hsien Shen , Mikhail P. Solon , Mao Zeng

We discuss shallow resonances in the nonrelativistic scattering of two particles using an effective field theory (EFT) that includes an auxiliary field with the quantum numbers of the resonance. We construct the manifestly renormalized…

High Energy Physics - Phenomenology · Physics 2021-06-15 J. B. Habashi , S. Fleming , U. van Kolck

Within the context of the Effective Field Theory (EFT) framework to gravitational dynamics, we compute the Hamiltonian, source quadrupole moment, and gravitational-wave energy flux for (non-spinning) inspiralling compact binaries at…

General Relativity and Quantum Cosmology · Physics 2024-08-27 Loris Amalberti , Zixin Yang , Rafael A. Porto

Scattering angles for probes in Kerr metrics are derived for scattering in the equatorial plane of the black hole. We use a method that naturally resums all orders in the spin of the Kerr black hole, thus facilitating comparisons with…

High Energy Physics - Theory · Physics 2023-01-04 Poul H. Damgaard , Jitze Hoogeveen , Andres Luna , Justin Vines

We perform a nonperturbative calculation of the 1S0 NN scattering amplitude using an effective field theory (EFT) expansion. The expansion we advocate is a modification of what has been used previously; it is no a chiral expansion in powers…

Nuclear Theory · Physics 2009-10-30 David B. Kaplan , Martin J. Savage , Mark B. Wise

We formulate a renormalizable pionless effective field theory (Pionless EFT) with a non-perturbative treatment of the Coulomb interaction up to next-to-leading order (NLO) for few-nucleon systems. We extract scattering observables for…

Nuclear Theory · Physics 2025-07-23 Matúš Rojik , Martin Schäfer , Mirko Bagnarol , Nir Barnea

Using the implicit function theorem we demonstrate that solutions to the classical part of the relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those of the energy equation of a relativistic two-body system. A…

High Energy Physics - Theory · Physics 2020-08-26 N. E. J. Bjerrum-Bohr , Andrea Cristofoli , Poul H. Damgaard

Investigations of three-body nuclear systems using pionless effective field theory ($\mathrm{EFT}_{\not{\pi}}$) are reviewed. The history of $\mathrm{EFT}_{\not{\pi}}$ in $nd$ and $pd$ scattering is briefly discussed and emphasis put on the…

Nuclear Theory · Physics 2016-09-13 Jared Vanasse