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Picture yourself in the wave zone of a gravitational scattering event of two massive, spinning compact bodies (black holes, neutron stars or stars). We show that this system of genuine astrophysical interest enjoys a hidden $\mathcal{N}=2$…

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

Using the Teukolsky and Sasaki-Nakamura equations for the gravitational perturbation of the Kerr spacetime, we calculate the post-Newtonian expansion of the energy and angular momentum luminosities of gravitational waves from a test…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Masaru Shibata , Misao Sasaki , Hideyuki Tagoshi , Takahiro Tanaka

Asymptotic Safety implies that observables including scattering amplitudes remain finite at the highest energy scales. Traditionally, this feature is connected to an interacting fixed point of the Wilsonian renormalization group that…

High Energy Physics - Theory · Physics 2022-10-31 Benjamin Knorr , Chris Ripken , Frank Saueressig

This article provides the details on the technical derivation of the gravitational waveform and total gravitational-wave energy flux of non-spinning compact binary systems to the 4PN (fourth post-Newtonian) order beyond the Einstein…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini

In this short note, we address the calculation of the contribution to the one-loop gravitational waveform arising from the difference of the unitarity cuts associated to the $s$- and $s'$-channels recently pointed out in arXiv:2308.02125,…

High Energy Physics - Theory · Physics 2023-12-25 Alessandro Georgoudis , Carlo Heissenberg , Ingrid Vazquez-Holm

The classical scattering of spinning objects is well described by the spinor-helicity formalism for heavy particles. Using these variables, we derive spurious-pole-free, all-spin opposite-helicity Compton amplitudes (factorizing on physical…

High Energy Physics - Theory · Physics 2022-03-30 Rafael Aoude , Kays Haddad , Andreas Helset

We consider the scattering of a low-frequency gravitational wave by a massive compact body in vacuum. We apply partial-wave methods to compute amplitudes for the helicity-conserving and helicity-reversing contributions to the cross section,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sam R. Dolan

The linear- and quadratic-in-spin contributions to the binding potential and gravitational-wave flux from binary systems are derived to next-to-next-to-leading order in the Post-Newtonian (PN) expansion of general relativity, including…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Gihyuk Cho , Rafael A. Porto , Zixin Yang

Three bodies moving in a periodic orbit under the influence of Newtonian gravity ought to emit gravitational waves. We have calculated the gravitational radiation quadrupolar waveforms and the corresponding luminosities for the 13+11…

General Relativity and Quantum Cosmology · Physics 2015-01-15 V. Dmitrašinović , Milovan Šuvakov , Ana Hudomal

We provide universal expressions for the classical piece of the amplitude given by the graviton/photon exchange between massive particles of arbitrary spin, at both tree and one loop level. In the gravitational case this leads to higher…

High Energy Physics - Theory · Physics 2021-10-20 Alfredo Guevara

We investigate spin- and velocity-dependent contributions to the gravitational inter-particle potential. The methodology adopted here is based on the expansion of the effective action in terms of form factors encoding quantum corrections.…

High Energy Physics - Theory · Physics 2020-10-14 G. P. de Brito , M. G. Campos , L. P. R. Ospedal , K. P. B. Veiga

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

We compute the gravitational impulse for two classical massive scalars in the ultrarelativistic limit to all orders in Newton's constant $G_N$ at fixed $G_N s/m b$ to $O(m^4/s^2)$. By computing the 4 and 5-point scattering amplitudes in the…

High Energy Physics - Theory · Physics 2026-05-19 Michael Saavedra

I review the elementary theory of gravitational waves on a Minkowski background and the quadrupole approximation. The modified conservation laws for energy and momentum keeping track of the gravitational-wave flux are presented. The theory…

General Relativity and Quantum Cosmology · Physics 2019-02-12 J. W. van Holten

We analyze the hard scattering amplitude of the gravitational form factors (GFFs) of hadrons at one-loop, in relation to their conformal field theory (CFT) description, within the framework of QCD factorization for hard exclusive processes…

High Energy Physics - Phenomenology · Physics 2025-03-18 Claudio Corianò , Stefano Lionetti , Dario Melle , Riccardo Tommasi

In this paper, we study gravitational waves generated by binary systems within an extension of General Relativity which is described by the addition of quadratic in curvature tensor terms to the Einstein-Hilbert action. Treating quadratic…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Yunho Kim , Archil Kobakhidze , Zachary S. C. Picker

We compute the gravitational waves generated by compact binary systems in a class of massless scalar-tensor (ST) theories to the 1.5 post-Newtonian (1.5PN) order beyond the standard quadrupole radiation in general relativity (GR). Using and…

General Relativity and Quantum Cosmology · Physics 2023-06-02 David Trestini

We compute the gravitational waves generated by compact binary systems in a class of massless scalar-tensor (ST) theories to the 1.5 post-Newtonian (1.5PN) order beyond the standard quadrupole radiation in general relativity (GR). Using and…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Laura Bernard , Luc Blanchet , David Trestini

Gravitational-wave tails are due to the backscattering of linear waves onto the space-time curvature generated by the total mass of the matter source. The dominant tails correspond to quadratic non-linear interactions and arise at the…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Tanguy Marchand , Luc Blanchet , Guillaume Faye

In the present paper we take a step towards the generalization of the post-Newtonian formalism to tensor-multi-scalar theories. These are theories where we have more than one scalar field being mediators of the gravitational interaction in…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Oliver Schön , Daniela D. Doneva