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We study the one-loop effective action for a generic two-dimensional dilaton gravity theory conformally coupled to $N$ matter fields. We obtain an explicit expression for the effective action in the weak-coupling limit under a suitable…

High Energy Physics - Theory · Physics 2009-01-16 A. Mikovic , V. Radovanovic

The 2D model of gravity with zweibeins $e^{a}$ and the Lorentz connection one-form $\omega^{a}_{\ b}$ as independent gravitational variables is considered and it is shown that the classical equations of motion are exactly integrated in…

High Energy Physics - Theory · Physics 2009-10-22 S. N. Solodukhin

We present the computation of a full set of planar five-point two-loop master integrals with one external mass. These integrals are an important ingredient for two-loop scattering amplitudes for two-jet-associated W-boson production at…

High Energy Physics - Phenomenology · Physics 2020-12-30 S. Abreu , H. Ita , F. Moriello , B. Page , W. Tschernow , M. Zeng

We apply recently developed path integral resummation methods to perturbative quantum gravity. In particular, we provide supporting evidence that eikonal graviton amplitudes factorize into hard and soft parts, and confirm a recent…

High Energy Physics - Theory · Physics 2015-03-19 Chris D. White

The post-post-Newtonian (2PN) accurate mass quadrupole moment, for compact binaries of arbitrary mass ratio, moving in general orbits is obtained by the multi-polar post Minkowskian approach of Blanchet, Damour, and Iyer (BDI). Using this,…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. Gopakumar , Bala R. Iyer

We apply the recently developed formalism by Kosower, Maybee and O'Connell (KMO) to analyse the soft electromagnetic and soft gravitational radiation emitted by particles without spin in Four and higher dimensions. We use this formalism in…

High Energy Physics - Theory · Physics 2021-10-27 Manu A , Debodirna Ghosh , Alok Laddha , Athira P.

We consider the frequency-domain LO and NLO post-Minkowskian (PM) waveforms obtained from the tree-level and one-loop amplitudes describing the scattering of two massive scalar objects and the emission of one graviton. We explicitly…

High Energy Physics - Theory · Physics 2024-05-24 Alessandro Georgoudis , Carlo Heissenberg , Rodolfo Russo

We extend the soft theorems for scattering amplitudes of scalar effective field theories to one-loop order. Our analysis requires carefully accounting for the fact that the soft limit is not guaranteed to commute with evaluating…

High Energy Physics - Theory · Physics 2025-04-18 Timothy Cohen , Ipak Fadakar , Andreas Helset , Filippo Nardi

Using an effective field theory (EFT) formalism for forward scattering, we reconsider the factorization of $2\to 2$ scattering amplitudes in the Regge limit. Expanding the amplitude in gauge invariant operators labelled by the number of…

High Energy Physics - Phenomenology · Physics 2023-07-14 Ian Moult , Sanjay Raman , Gregory Ridgway , Iain W. Stewart

Black hole perturbation theory is useful for studying the stability of black holes and calculating ringdown gravitational waves after the collision of two black holes. Most previous calculations were carried out at the level of the field…

General Relativity and Quantum Cosmology · Physics 2018-01-17 Justin L. Ripley , Kent Yagi

We derive the gravitational waveform and gravitational-wave energy flux generated by a binary star system of compact objects (neutron stars or black holes), accurate through second post-Newtonian order ($O[(v/c)^4] \sim O[(Gm/rc^2)^2]$)…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Clifford M. Will , Alan G. Wiseman

In this thesis we present a study of the computation of classical observables in gauge theories and gravity directly from scattering amplitudes. In particular, we discuss the direct application of modern amplitude techniques in the one, and…

High Energy Physics - Theory · Physics 2022-08-02 Yilber Fabian Bautista

We employ one-loop scattering amplitudes in Einstein-Maxwell theory to compute the classical Hamiltonian of a binary system of two charged, non-spinning compact objects. The Hamiltonian is valid to all orders in velocity and up to second…

High Energy Physics - Theory · Physics 2026-03-18 Allan Alonzo-Artiles , Manfred Kraus

We calculate the spin-orbit corrections to the loss of angular momentum in a two-body scattering at third Post-Minkowskian order, $\mathcal O(G^3)$, from scattering amplitudes using the eikonal operator. These results include effects linear…

High Energy Physics - Theory · Physics 2023-09-06 Carlo Heissenberg

Recently, the gravitational scattering of two black holes (BHs) treated at the leading order in the weak-field, or post-Minkowskian (PM), approximation to General Relativity has been shown to map bijectively onto a simpler effectively…

General Relativity and Quantum Cosmology · Physics 2019-09-11 Justin Vines , Jan Steinhoff , Alessandra Buonanno

We present an expression for the QCD amplitude for a general hard scattering process with any number of soft gluon emissions, to one-loop accuracy. The amplitude is written in two different but equivalent ways: as a product of operators…

High Energy Physics - Phenomenology · Physics 2016-06-01 René Ángeles-Martínez , Jeffrey R. Forshaw , Michael H. Seymour

We derive explicit expressions for the two-point function of a massless scalar field in the interior region of a Reissner-Nordstrom black hole, in both the Unruh and Hartle-Hawking quantum states. The two-point function is expressed in…

General Relativity and Quantum Cosmology · Physics 2018-01-25 Assaf Lanir , Adam Levi , Amos Ori , Orr Sela

We study the gravitational radiation emitted during the scattering of two spinless bodies in the post-Minkowskian Effective Field Theory approach. We derive the conserved stress-energy tensor linearly coupled to gravity and the classical…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Stavros Mougiakakos , Massimiliano Maria Riva , Filippo Vernizzi

We study two-to-two parton scattering amplitudes in the high-energy limit of perturbative QCD by iteratively solving the BFKL equation. This allows us to predict the imaginary part of the amplitude to leading-logarithmic order for arbitrary…

High Energy Physics - Phenomenology · Physics 2020-06-03 Simon Caron-Huot , Einan Gardi , Joscha Reichel , Leonardo Vernazza

Leveraging the computational framework presented in reference [JHEP 07, 062 (2024)], we evaluate the analytic scattering waveform in General Relativity to second order, $G^3 M^3 /r b^2$ and to all orders in velocity. This new representation…

High Energy Physics - Theory · Physics 2025-11-10 Giacomo Brunello , Stefano De Angelis , David A. Kosower