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A precise link is derived between scalar-graviton S-matrix elements and expectation values of operators in a worldline quantum field theory (WQFT), both used to describe classical scattering of a pair of black holes. The link is formally…

High Energy Physics - Theory · Physics 2021-02-24 Gustav Mogull , Jan Plefka , Jan Steinhoff

An exponential representation of the S-matrix provides a natural framework for understanding the semi-classical limit of scattering amplitudes. While sharing some similarities with the eikonal formalism it differs from it in details.…

High Energy Physics - Theory · Physics 2021-12-08 Poul H. Damgaard , Ludovic Plante , Pierre Vanhove

Tree-level scattering amplitudes for a scalar particle coupled to an arbitrary number N of photons and a single graviton are computed. We employ the worldline formalism as the main tool to compute the irreducible part of the amplitude,…

High Energy Physics - Theory · Physics 2020-08-04 Naser Ahmadiniaz , Filippo Maria Balli , Olindo Corradini , José Manuel Dávila , Christian Schubert

We give a solution of the wave equation for massless, or massive spin-2 particles propagating in a gravitational background. The solution is covariant, gauge-invariant and exact to first order in the background gravitational field. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Papini

Using on-shell amplitude methods, we derive a rotating black hole solution in a generic theory of Einstein gravity with additional terms cubic in the Riemann tensor. We give an explicit expression for the metric in Einsteinian Cubic Gravity…

High Energy Physics - Theory · Physics 2021-03-25 Daniel J. Burger , William T. Emond , Nathan Moynihan

In this work we propose to use leading singularities to obtain the classical pieces of amplitudes of two massive particles whose only interaction is gravitational. Leading singularities are generalizations of unitarity cuts. At one-loop we…

High Energy Physics - Theory · Physics 2017-05-30 Freddy Cachazo , Alfredo Guevara

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

Recent developments in the gravitational waves interferometry require more pertinent theoretical models of gravitational waves generation and propagation. Untouched possible mechanisms of spin-2 spacetime perturbations production, we will…

General Relativity and Quantum Cosmology · Physics 2021-02-01 A. M. Arslanaliev , A. J. Nurmagambetov

We investigate the scattering of a spinning test particle by a Kerr black hole within the Mathisson-Papapetrou-Dixon model to linear order in spin. The particle's spin and orbital angular momentum are taken to be aligned with the black…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Donato Bini , Andrea Geralico , Justin Vines

This thesis develops a unified framework that reconstructs the full classical content of General Relativity from the classical limit of quantum scattering amplitudes. By interpreting the analytic structure of amplitudes as the…

High Energy Physics - Theory · Physics 2026-01-22 Claudio Gambino

The scattering amplitudes for the perturbed fields of the N=2 supergravity about the extreme Reissner-Nordstr\"om black hole is examined. Owing to the fact that the extreme hole is a BPS state of the theory and preserves an unbroken global…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Takashi Okamura

In the two-body scattering problem in general relativity, we study the final graviton particle distribution using a perturbative approach. We compute the mean, the variance and the factorial moments of the distribution from the expectation…

High Energy Physics - Theory · Physics 2022-07-19 Ruth Britto , Riccardo Gonzo , Guy R. Jehu

We study the variance in the measurement of observables during scattering events, as computed using amplitudes. The classical regime, characterised by negligible uncertainty, emerges as a consequence of an infinite set of relationships…

High Energy Physics - Theory · Physics 2024-05-30 Andrea Cristofoli , Riccardo Gonzo , Nathan Moynihan , Donal O'Connell , Alasdair Ross , Matteo Sergola , Chris D. White

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

In this work, we compute the graviton mediated scattering amplitude of a massive spin-2 Fierz-Pauli field with various other massive spin fields, and in the non-relativistic limit, find out the corresponding two-body gravitational…

High Energy Physics - Theory · Physics 2026-05-13 Avijit Sen Majumder , Sourav Bhattacharya

We apply factorization and eikonal methods from gauge theories to scattering amplitudes in gravity. We hypothesize that these amplitudes factor into an IR-divergent soft function and an IR-finite hard function, with the former given by the…

High Energy Physics - Theory · Physics 2015-05-20 Stephen G. Naculich , Howard J. Schnitzer

We compute the gravitational radiation generated in the evolution of a family of close binary black hole configurations, using a combination of numerical and perturbative approximation methods. We evolve the binaries with spins, $s$,…

Astrophysics · Physics 2009-11-07 J. Baker , M. Campanelli , C. O. Lousto , R. Takahashi

The recently established formalism of a worldline quantum field theory, which describes the classical scattering of massive bodies in Einstein gravity, is generalized up to quadratic order in spin -- for a pair of Kerr black holes revealing…

High Energy Physics - Theory · Physics 2022-10-05 Gustav Uhre Jakobsen , Gustav Mogull , Jan Plefka , Jan Steinhoff

The asymptotic behavior of the scattering amplitude for two scalar particles at high energies with fixed momentum transfers is studied. The study is done within the effective theory of quantum gravity based on quasi-potential equation. By…

High Energy Physics - Theory · Physics 2019-10-23 Nguyen Suan Han , Do Thu Ha , Nguyen Nhu Xuan

We compute the vacuum metric generated by a generic rotating object in arbitrary dimensions up to third post-Minkowskian order by computing the classical contribution of scattering amplitudes describing the graviton emission by massive…

High Energy Physics - Theory · Physics 2024-07-01 Claudio Gambino , Paolo Pani , Fabio Riccioni