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

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We study classical scattering of charged black holes in Einstein-Maxwell-Dilaton (EMD) theory. Working in the classical (Post-Minkowskian) regime, we extract the conservative two-body potential by expanding the one loop amplitudes in the…

High Energy Physics - Theory · Physics 2026-04-21 Arpan Bhattacharyya , Saptaswa Ghosh , Ankit Mishra , Sounak Pal

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 review recent progress on computing scattering amplitudes of planar N=4 super Yang-Mills at strong coupling by using the AdS/CFT duality. We do explicit computations by using both, dimensional regularization and a cut-off in the radial…

High Energy Physics - Theory · Physics 2008-11-26 Luis F. Alday

We present the analytic form of the two-loop four-graviton scattering amplitudes in Einstein gravity. To remove ultraviolet divergences we include counterterms quadratic and cubic in the Riemann curvature tensor. The two-loop numerical…

High Energy Physics - Theory · Physics 2020-06-24 S. Abreu , F. Febres Cordero , H. Ita , M. Jaquier , B. Page , M. S. Ruf , V. Sotnikov

We compute graviton scattering amplitudes in M-theory using Feynman rules for a scalar particle coupled to gravity in eleven dimensions. The processes that we consider describe the single graviton exchange and the double graviton exchange,…

High Energy Physics - Theory · Physics 2016-08-25 Katrin Becker , Melanie Becker

We develop a dynamical formulation of one-dimensional scattering theory where the reflection and transmission amplitudes for a general, possibly complex and energy-dependent, scattering potential are given as solutions of a set of dynamical…

Quantum Physics · Physics 2015-06-17 Ali Mostafazadeh

The self-force expansion allows the study of deviations from geodesic motion due to the emission of radiation and its consequent back-reaction. We investigate this scheme within the on-shell framework of semiclassical scattering amplitudes…

High Energy Physics - Theory · Physics 2024-01-25 Tim Adamo , Andrea Cristofoli , Anton Ilderton , Sonja Klisch

We investigate numerically different techniques to extract scattering amplitudes from the Euclidean Lattice {\phi}4 theory with two fields, having different masses. We present an exploratory study of the recently proposed method by Bruno…

High Energy Physics - Lattice · Physics 2021-12-03 Marco Garofalo , Fernando Romero-López , Akaki Rusetsky , Carsten Urbach

We explicitly compute the tree-level on-shell four-graviton amplitudes in four, five and six dimensions for local and weakly nonlocal gravitational theories that are quadratic in both, the Ricci and scalar curvature with form factors of the…

High Energy Physics - Theory · Physics 2015-09-30 Pietro Donà , Stefano Giaccari , Leonardo Modesto , Leslaw Rachwal , Yiwei Zhu

We derive the leading spin-dependent gravitational tail memory, which appears at the second post-Minkowskian (2 PM) order and behaves as $u^{-2}$ for large retarded time $u$. This result follows from classical soft graviton theorem at order…

High Energy Physics - Theory · Physics 2022-02-09 Debodirna Ghosh , Biswajit Sahoo

We apply the Hilbert series to extend the gravitational action for a scalar field to a complete, non-redundant basis of higher-dimensional operators that is quadratic in the scalars and the Weyl tensor. Such an extension of the action fully…

High Energy Physics - Theory · Physics 2020-12-30 Kays Haddad , Andreas Helset

We consider effective action for the Einstein gravity and show that dressed mean fields are actual variables of the effective action. Kernels of this effective action expressed in terms of dressed effective fields are constituent parts of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kyungsik Kang , Igor Kondrashuk

Binary sources of gravitational waves in the early inspiral phase are accurately described by a post-Newtonian expansion in small velocity and weak interaction. We compute the conservative dynamics to fifth and partial sixth order using a…

General Relativity and Quantum Cosmology · Physics 2022-08-10 J. Blümlein , A. Maier , P. Marquard , G. Schäfer

We present a systematic diagrammatic investigation of the classical limit of observables computed from scattering amplitudes in quantum field theory through the Kosower-Maybee-O'Connell (KMOC) formalism, motivated by the study of…

High Energy Physics - Theory · Physics 2025-07-01 Zeno Capatti , Mao Zeng

In this thesis massive higher derivative gravity theories are analyzed in some detail. One-particle scattering amplitude between two covariantly conserved sources mediated by a graviton exchange is found at tree-level in $D$ dimensional…

General Relativity and Quantum Cosmology · Physics 2012-02-01 Ibrahim Gullu

In the description of the relativistic two-body interaction, together with the effects of energy and angular momentum losses due to the emission of gravitational radiation, one has to take into account also the loss of linear momentum,…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Donato Bini , Andrea Geralico

We apply the classical double copy to the calculation of self-energy of composite systems with multipolar coupling to gravitational field, obtaining next-to-leading order results in the gravitational coupling $G_N$ by generalizing color to…

General Relativity and Quantum Cosmology · Physics 2020-12-14 Gabriel Luz Almeida , Stefano Foffa , Riccardo Sturani

We describe the formalism to compute gravitational-wave observables for compact binaries via the effective field theory framework in combination with modern tools from collider physics. We put particular emphasis on solving the "multi-loop"…

High Energy Physics - Theory · Physics 2023-04-05 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

We describe the computation of post-Minkowskian Hamiltonians in General Relativity from scattering amplitudes. Using a relativistic Lippmann-Schwinger equation, we relate perturbative amplitudes of massive scalars coupled to gravity to the…

High Energy Physics - Theory · Physics 2019-10-23 Andrea Cristofoli , N. E. J. Bjerrum-Bohr , Poul H. Damgaard , Pierre Vanhove

These lecture notes explain how classical gravitational physics emerges from scattering amplitudes. We emphasize the role of different kinematic regimes in probing various aspects of bound and unbound problems, as illustrated by the…