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Related papers: Scattering Amplitudes, the Tail Effect, and Conser…

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Accurate modeling of compact binaries is essential for gravitational-wave detection and parameter estimation, with spin being an important effect to include in waveform models. In this paper, we derive new post-Newtonian (PN) results for…

General Relativity and Quantum Cosmology · Physics 2024-11-28 Yilber Fabian Bautista , Mohammed Khalil , Matteo Sergola , Chris Kavanagh , Justin Vines

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 initiate a study into the eikonal exponentiation of the amplitude in impact-parameter space when spinning particles are involved in the scattering. Considering the gravitational scattering of two spin-1/2 particles, we demonstrate that…

High Energy Physics - Theory · Physics 2022-01-19 Kays Haddad

We compute the three-loop scattering amplitude of four gravitons in ${\mathcal N}=8$ supergravity. Our results are analytic formulae for a Laurent expansion of the amplitude in the regulator of dimensional regularisation. The coefficients…

High Energy Physics - Theory · Physics 2019-05-22 Johannes M. Henn , Bernhard Mistlberger

We extend the "boundary-to-bound" (B2B) correspondence to incorporate radiative as well as conservative radiation-reaction effects. We start by deriving a map between the total change in observables due to gravitational wave emission during…

High Energy Physics - Theory · Physics 2022-05-30 Gihyuk Cho , Gregor Kälin , Rafael A. Porto

We describe a new method to perform NLO calculations, combining real and virtual amplitudes at the integrand level, with a fully local compensation between them in the IR, and between the virtual integrand and properly defined counter-terms…

High Energy Physics - Phenomenology · Physics 2016-08-08 German Rodrigo , Felix Driencourt-Mangin , German F. R. Sborlini , Roger Jose Hernandez-Pinto

We study the conservative dynamics of spinless compact objects in a general effective theory of gravity which includes a metric and an arbitrary number of scalar fields, through $\mathcal{O}(G^{3})$. Departures from Einstein gravity, which…

High Energy Physics - Theory · Physics 2025-08-14 Jordan Wilson-Gerow

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 introduce a formalism for describing four-dimensional scattering amplitudes for particles of any mass and spin. This naturally extends the familiar spinor-helicity formalism for massless particles to one where these variables carry an…

High Energy Physics - Theory · Physics 2021-11-02 Nima Arkani-Hamed , Tzu-Chen Huang , Yu-tin Huang

Certain scattering amplitudes in the gravitational sector of type II string theory on K3 x T^2 are found to be computed by correlation functions of the N=4 topological string. This analysis extends the already known results for K3 by…

High Energy Physics - Theory · Physics 2008-11-26 I. Antoniadis , S. Hohenegger , K. S. Narain

We present a generalized unitarity method for theories of point-particle worldlines coupled to gravity, analogous to that of scattering amplitudes in quantum field theory. This method allows the computation of perturbative observables from…

High Energy Physics - Theory · Physics 2026-02-25 Vincent F. He , Julio Parra-Martinez

The Effective One-Body formalism of the gravitational two-body problem in general relativity is reconsidered in the light of recent scattering amplitude calculations. Based on the kinematic relationship between momenta and the effective…

High Energy Physics - Theory · Physics 2021-11-24 Poul H. Damgaard , Pierre Vanhove

We derive the gravitational radiation-reaction force modifying the Effective One Body (EOB) description of the conservative dynamics of binary systems. Our result is applicable to general orbits (elliptic or hyperbolic) and keeps terms of…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Donato Bini , Thibault Damour

We compute the radiation reacted momentum impulse $\Delta p_i^\mu$, spin kick $\Delta S_i^\mu$, and scattering angle $\theta$ between two scattered spinning massive bodies (black holes or neutron stars) using the $\mathcal{N}=1$…

High Energy Physics - Theory · Physics 2023-08-23 Gustav Uhre Jakobsen , Gustav Mogull , Jan Plefka , Benjamin Sauer

The quantum field-theoretic approach to classical observables due to Kosower, Maybee and O'Connell provides a rigorous pathway from on-shell scattering amplitudes to classical perturbation theory. In this paper, we promote this formalism to…

High Energy Physics - Theory · Physics 2021-10-06 Rafael Aoude , Alexander Ochirov

Using the spinning, supersymmetric Worldline Quantum Field Theory formalism we compute the momentum impulse and spin kick from a scattering of two spinning black holes or neutron stars up to quadratic order in spin at third post-Minkowskian…

High Energy Physics - Theory · Physics 2023-07-26 Gustav Uhre Jakobsen , Gustav Mogull

We give a systematic analysis of forward scattering in 3$+$1-dimensional quantum gravity, at center of mass energies comparable or larger than the Planck energy. We show that quantum gravitational effects in this kinematical regime are…

High Energy Physics - Theory · Physics 2009-10-22 Herman Verlinde , Erik Verlinde

Extensions of standard one-dimensional supersymmetric quantum mechanics are discussed. Supercharges involving higher order derivatives are introduced leading to an algebra which incorporates a higher order polynomial in the Hamiltonian. We…

High Energy Physics - Theory · Physics 2010-04-06 A. A. Andrianov , F. Cannata , J. -P-Dedonder , M. V. Ioffe

This note studies the asymptotic behavior of global solutions to the fourth-order generalized Hartree equation $$i\dot u+\Delta^2 u\pm(I_\alpha*|u|^p)|u|^{p-2}u=0.$$ Indeed, for both attractive and repulsive sign, the scattering is obtained…

Analysis of PDEs · Mathematics 2020-10-16 Tarek Saanouni

We report the local-in-time conservative dynamics of nonspinning binary systems at fifth Post-Minkowskian (5PM) and first self-force (1SF) orders. This follows from an explicit calculation of the 5PM/1SF nonlocal-in-time tail-type…

High Energy Physics - Theory · Physics 2025-06-26 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto
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