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相关论文: Scattering Amplitudes, the Tail Effect, and Conser…

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We compute the total radiated momentum carried by gravitational waves during the scattering of two spinless black holes at the lowest order in Newton's constant, $\mathcal O(G^3)$, and all orders in velocity. By analytic continuation into…

高能物理 - 理论 · 物理学 2021-05-20 Enrico Herrmann , Julio Parra-Martinez , Michael S. Ruf , Mao Zeng

We calculate the inelastic $2\to3$ one-loop amplitude for the scattering of two point-like, spinless objects with generic masses involving the additional emission of a single graviton. We focus on the near-forward, or classical, limit. Our…

高能物理 - 理论 · 物理学 2023-12-27 Alessandro Georgoudis , Carlo Heissenberg , Ingrid Vazquez-Holm

In matrix theory the effective action for graviton-graviton scattering is a double expansion in the relative velocity and inverse separation. We discuss the systematics of this expansion and subject matrix theory to a new test. Low energy…

高能物理 - 理论 · 物理学 2009-09-17 K. Becker , M. Becker , J. Polchinski , A. Tseytlin

Following the proposal of arXiv:1312.6673, multi-particle scattering amplitudes are represented as conserved higher-spin charges. The advantage of such reformulation is that multi-particle amplitudes acquire the form of an integral of a…

高能物理 - 理论 · 物理学 2020-01-08 Y. O. Goncharov , M. A. Vasiliev

We calculate the spin-averaged amplitude for doubly virtual forward Compton scattering off nucleons in the framework of manifestly Lorentz invariant baryon chiral perturbation theory at complete one-loop order $O(p^4)$. The calculations are…

高能物理 - 格点 · 物理学 2021-02-24 J. Lozano , A. Agadjanov , J. Gegelia , U. -G. Meißner , A. Rusetsky

We provide a new efficient diagrammatic tool, in the context of the scattering equations, for computation of covariant $D$-dimensional tree-level $n$-point amplitudes with pairs of spinning massive particles using compact exponential…

高能物理 - 理论 · 物理学 2021-05-12 N. Emil J. Bjerrum-Bohr , Taro V. Brown , Humberto Gomez

We obtain a first order post-Minkowskian two-body effective potential whose post-Newtonian expansion directly reproduces the Einstein-Infeld-Hoffmann potential. Post-Minkowskian potentials can be extracted from on-shell scattering…

高能物理 - 理论 · 物理学 2021-02-03 Gianluca Grignani , Troels Harmark , Marta Orselli , Andrea Placidi

A generalized scattering amplitude where momenta of incoming-particles and outgoing-particles as well as positions of incoming-particles and outgoing-particles are specified is formulated. Idealistic beams and idealistic measuring…

高能物理 - 唯象学 · 物理学 2009-11-11 Kenzo Ishikawa , Takashi Shimomura

Using the CHY-formalism and its extension to a double cover we provide covariant expressions for tree-level amplitudes with two massive scalar legs and an arbitrary number of gravitons in D dimensions. Using unitarity methods, such…

高能物理 - 理论 · 物理学 2020-01-29 N. E. J. Bjerrum-Bohr , Andrea Cristofoli , Poul H. Damgaard , Humberto Gomez

A novel approach for extracting gauge-invariant information about spin-orbit coupling in gravitationally interacting binary systems is introduced. This approach is based on the "scattering holonomy", i.e. the integration (from the infinite…

广义相对论与量子宇宙学 · 物理学 2017-11-29 Donato Bini , Thibault Damour

In this thesis we study the conservative gravitational dynamics of binary systems using the eikonal approximation; allowing us to use scattering amplitude techniques to calculate dynamical quantities in classical gravity. This has…

高能物理 - 理论 · 物理学 2020-09-24 Arnau Koemans Collado

Techniques based upon the string organisation of amplitudes may be used to simplify field theory calculations. We apply these techniques to perturbative gravity and calculate all one-loop amplitudes for four-graviton scattering with…

高能物理 - 理论 · 物理学 2009-10-28 David C. Dunbar , Paul S. Norridge

We generalise the Kosower-Maybee-O'Connell (KMOC) formalism relating classical observables and scattering amplitudes to curved backgrounds. We show how to compute the final semiclassical state for a particle moving in a curved background in…

高能物理 - 理论 · 物理学 2022-09-14 Tim Adamo , Andrea Cristofoli , Anton Ilderton

We calculate the amplitude of pi-eta scattering in generalized chiral perturbation theory at the order O(p^4) and present preliminary results of the numerical analysis of the S-wave scattering length, which seems to be particularly…

高能物理 - 唯象学 · 物理学 2007-05-23 J. Novotny , M. Kolesar

In the case of nonspinning compact binary systems on quasi-elliptic orbits, I obtain the conservative map between the constants of motion (energy and angular momentum) and the fundamental (radial and azimuthal) frequencies at the fourth…

广义相对论与量子宇宙学 · 物理学 2026-04-28 David Trestini

The conservative dynamics of gravitationally interacting two-point-mass systems has been recently determined at the fourth post-Newtonian (4PN) approximation [T.Damour, P.Jaranowski, and G.Sch\"afer, Phys. Rev. D 89, 064058 (2014)], and…

广义相对论与量子宇宙学 · 物理学 2015-05-01 Thibault Damour , Piotr Jaranowski , Gerhard Schäfer

We study two-to-two scattering amplitudes of a scalar particle of mass $m$. For simplicity, we assume the presence of $\mathbb{Z}_2$ symmetry and that the particle is $\mathbb{Z}_2$ odd. We consider two classes of amplitudes: the fully…

高能物理 - 理论 · 物理学 2023-01-04 Hongbin Chen , A. Liam Fitzpatrick , Denis Karateev

As a first step in the computation of the orbital phase evolution of spinless compact binaries including tidal effects up to the next-to-next-to-leading (NNL) order, we obtain the equations of motion of those systems and the associated…

广义相对论与量子宇宙学 · 物理学 2020-11-02 Quentin Henry , Guillaume Faye , Luc Blanchet

We introduce a -- somewhat holographic -- dictionary between gravitational observables for scattering processes (measured at the "boundary") and adiabatic invariants for bound orbits (in the "bulk"), to all orders in the Post-Minkowskian…

高能物理 - 理论 · 物理学 2020-06-03 Gregor Kälin , Rafael A. Porto

By means of the scattering angles, we obtain an effective metric of spinless binaries with radiation-reaction effects up to fourth post-Minkowskian order, which is the foundation of the effective-one-body theory. We note that there are…

广义相对论与量子宇宙学 · 物理学 2023-07-17 Jiliang Jing , Weike Deng , Sheng Long , Jieci Wang