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The differential scattering cross section of the massless scalar field localized on the 3-brane of charged static black holes in the ADD model is analyzed. While results valid in the entire range of scattering angle can be obtained only via…

General Relativity and Quantum Cosmology · Physics 2018-02-13 Ednilton S. de Oliveira

We present a formalism for computing classically measurable quantities directly from on-shell quantum scattering amplitudes. We discuss the ingredients needed for obtaining the classical result, and show how to set up the calculation to…

High Energy Physics - Theory · Physics 2019-03-27 David A. Kosower , Ben Maybee , Donal O'Connell

A recently introduced approach to the gravitational dynamics of binary systems involves intricate integrals, linked to nonlocal-in-time interactions arising at the 5-loop level of classical gravitational scattering. We complete the…

General Relativity and Quantum Cosmology · Physics 2020-08-24 Donato Bini , Thibault Damour , Andrea Geralico , Stefano Laporta , Pierpaolo Mastrolia

We complete the calculation of conservative two-body scattering dynamics at fourth post-Minkowskian order, i.e. $O(G^4)$ and all orders in velocity, including radiative contributions corresponding to the tail effect in general relativity.…

High Energy Physics - Theory · Physics 2022-05-04 Zvi Bern , Julio Parra-Martinez , Radu Roiban , Michael S. Ruf , Chia-Hsien Shen , Mikhail P. Solon , Mao Zeng

Highly accurate models of the gravitational-wave signal from coalescing compact binaries are built by completing analytical computations of the binary dynamics with non-perturbative information from numerical relativity (NR) simulations. In…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Piero Rettegno , Geraint Pratten , Lucy Thomas , Patricia Schmidt , Thibault Damour

Gravitational scattering of the electromagnetic field from a heavy scalar field provides a fundamental testbed for understanding the deflection of light by massive bodies. In many approaches based on effective field theory, the calculation…

High Energy Physics - Theory · Physics 2026-01-19 Yihan Ma , Ding-fang Zeng

Using the principles of the modern scattering amplitudes programme, we develop a formalism for constructing the amplitudes of three-dimensional topologically massive gauge theories and gravity. Inspired by recent developments in four…

High Energy Physics - Theory · Physics 2021-04-16 Nathan Moynihan

We analyze the framework recently proposed by Oppenheim et al. to model relativistic quantum fields coupled to relativistic, classical, stochastic fields (in particular, as a model of quantum matter coupled to ``classical gravity'').…

High Energy Physics - Theory · Physics 2025-07-28 Daniel Carney , Akira Matsumura

We present a rigorous study of the classical scattering for anytwo-body inter-particle potential of the form $v(r)=g/r^\gamma$, with$\gamma\textgreater{}0$, for repulsive ($g\textgreater{}0$) and attractive ($g\textless{}0$)interactions. We…

Statistical Mechanics · Physics 2016-01-05 D Chiron , B Marcos

The study of hyperbolic binary black hole encounters yields an effective probe of the strong field regime of black holes, thus providing an additional channel to test General Relativity. We study the scattering of two black holes in…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Shaun Swain , Tamanna Jain , Llibert Aresté Saló

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

We present a holographic construction of solutions to the gravitational wave equation starting from QFT scattering amplitudes. The construction amounts to a change of basis from momentum to $(2,2)$ twistor space, together with a recently…

High Energy Physics - Theory · Physics 2021-12-10 Alfredo Guevara

We develop the computational framework for gravitational wave - black hole scattering in worldline quantum field theory (WQFT) without spin. Crucially, we prove on general grounds that, in the absence of dissipation, the exponential…

High Energy Physics - Theory · Physics 2026-02-23 Yilber Fabian Bautista , Mathias Driesse , Kays Haddad , Gustav Uhre Jakobsen

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

Classical black hole spacetimes can be recovered from the classical limit of quantum scattering amplitudes in a low-energy effective field theory of gravity. In this work we compute, at first post-Minkowskian and dipole order, the metric…

High Energy Physics - Theory · Physics 2026-02-10 Claudio Gambino , Fabio Riccioni , Victor Sanz Sanchis

The classical differential cross-section is calculated for high-energy small-angle gravitational scattering in the factorizable model with toroidal extra dimensions. The three main features of the classical computation are: (a) It involves…

High Energy Physics - Phenomenology · Physics 2009-05-29 Dmitry V. Gal'tsov , Georgios Kofinas , Pavel Spirin , Theodore N. Tomaras

We construct a candidate tree-level gravitational Compton amplitude for a rotating Kerr black hole, for any quantum spin s=0,1/2,1,...,$\infty$, from which we extract the corresponding classical amplitude to all orders in the spin vector…

High Energy Physics - Theory · Physics 2024-08-21 Lucile Cangemi , Marco Chiodaroli , Henrik Johansson , Alexander Ochirov , Paolo Pichini , Evgeny Skvortsov

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

As shown recently (W. Kummer, H. Liebl, D.V. Vassilevich, Nucl. Phys. B 544, 403 (1999)) 2d quantum gravity theories --- including spherically reduced Einstein-gravity --- after an exact path integral of its geometric part can be treated…

General Relativity and Quantum Cosmology · Physics 2009-10-31 D. Grumiller , W. Kummer , D. V. Vassilevich

We present a new method, exact in $\alpha'$, to explicitly compute string tree-level amplitudes involving one massive state and any number of massless ones. This construction relies on the so-called twisted heterotic string, which admits…

High Energy Physics - Theory · Physics 2021-08-04 Max Guillen , Henrik Johansson , Renann Lipinski Jusinskas , Oliver Schlotterer
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