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相关论文: Scattering Amplitudes and Conservative Binary Dyna…

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We derive a general formalism that relates the spectrum of two-particle systems in a finite volume to physical scattering amplitudes, taking into account the presence of any left-hand branch cuts due to single-particle exchanges. The method…

高能物理 - 格点 · 物理学 2025-02-27 André Baião Raposo , Raúl A Briceño , Maxwell T Hansen , Andrew W Jackura

Within the post Newtonian framework the fully reduced Hamiltonian (i.e., with eliminated spin supplementary condition) for the next-to-leading order spin-squared dynamics of general compact binaries is presented. The Hamiltonian is…

广义相对论与量子宇宙学 · 物理学 2010-06-04 Steven Hergt , Jan Steinhoff , Gerhard Schaefer

Quantum higher-spin theory applied to Compton amplitudes has proven to be surprisingly useful for elucidating Kerr black hole dynamics. Here we apply the framework to compute scattering amplitudes and observables for a binary system of two…

高能物理 - 理论 · 物理学 2025-06-27 Lara Bohnenblust , Lucile Cangemi , Henrik Johansson , Paolo Pichini

We present a new method for computing multi-loop scattering amplitudes in Quantum Field Theory. It extends the Generalized Unitarity method by constraining not only the integrand of the amplitude but also its full integrated form. Our…

高能物理 - 理论 · 物理学 2025-12-18 Piotr Bargiela

We compute the next-to-leading order term in the scattering waveform of uncharged black holes in classical general relativity and of half-BPS black holes in $\mathcal{N}=8$ supergravity. We propose criteria, generalizing explicit…

高能物理 - 理论 · 物理学 2023-12-25 Aidan Herderschee , Radu Roiban , Fei Teng

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 compute the three-loop scattering amplitude of four gravitons in ${\mathcal N}=8$ supergravity. Our results are analytic formulae for a Laurent expansion of the amplitude in the regulator of dimensional regularisation. The coefficients…

高能物理 - 理论 · 物理学 2019-05-22 Johannes M. Henn , Bernhard Mistlberger

We compute the far-field time-domain waveform of the gravitational waves produced in the scattering of two spinning massive objects. The results include linear-in-spin ($S$) couplings and first-order gravitational corrections ($G^3$), and…

高能物理 - 理论 · 物理学 2023-12-25 Lara Bohnenblust , Harald Ita , Manfred Kraus , Johannes Schlenk

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

The self-force expansion allows the study of deviations from geodesic motion due to the emission of radiation and its consequent back-reaction. We investigate this scheme within the on-shell framework of semiclassical scattering amplitudes…

高能物理 - 理论 · 物理学 2024-01-25 Tim Adamo , Andrea Cristofoli , Anton Ilderton , Sonja Klisch

We present the analytic form of the two-loop four-graviton scattering amplitudes in Einstein gravity. To remove ultraviolet divergences we include counterterms quadratic and cubic in the Riemann curvature tensor. The two-loop numerical…

高能物理 - 理论 · 物理学 2020-06-24 S. Abreu , F. Febres Cordero , H. Ita , M. Jaquier , B. Page , M. S. Ruf , V. Sotnikov

We obtain the generalized quasi-Keplerian parametrization for compact binaries on quasihyperbolic orbits at second post-Newtonian (2PN) order in a class of massless scalar-tensor theories, extending the analogous results for quasielliptic…

广义相对论与量子宇宙学 · 物理学 2025-08-29 Davide Usseglio , David Trestini , Abhishek Chowdhuri

We revisit the quantum-amplitude-based derivation of the gravitational waveform emitted by the scattering of two spinless massive bodies at the third order in Newton's constant, $h \sim G+G^2+G^3$ (one-loop level), and correspondingly…

高能物理 - 理论 · 物理学 2024-06-24 Donato Bini , Thibault Damour , Stefano De Angelis , Andrea Geralico , Aidan Herderschee , Radu Roiban , Fei Teng

This note studies the asymptotic behavior of global solutions to the fourth-order generalized Hartree equation $$i\dot u+\Delta^2 u\pm(I_\alpha*|u|^p)|u|^{p-2}u=0.$$ Indeed, for both attractive and repulsive sign, the scattering is obtained…

偏微分方程分析 · 数学 2020-10-16 Tarek Saanouni

We calculate graviton multi-point amplitudes in an anti-de Sitter black brane background for higher-derivative gravity of arbitrary order in numbers of derivatives. The calculations are performed using tensor graviton modes in a particular…

高能物理 - 理论 · 物理学 2018-04-11 M. M. W. Shawa , A. J. M. Medved

The construction of amplitudes on curved space-times is a major challenge, particularly when the background has non-constant curvature. We give formulae for all tree-level graviton scattering amplitudes in curved self-dual radiative…

高能物理 - 理论 · 物理学 2023-05-11 Tim Adamo , Lionel Mason , Atul Sharma

In this thesis massive higher derivative gravity theories are analyzed in some detail. One-particle scattering amplitude between two covariantly conserved sources mediated by a graviton exchange is found at tree-level in $D$ dimensional…

广义相对论与量子宇宙学 · 物理学 2012-02-01 Ibrahim Gullu

Binary sources of gravitational waves in the early inspiral phase are accurately described by a post-Newtonian expansion in small velocity and weak interaction. We compute the conservative dynamics to fifth and partial sixth order using a…

广义相对论与量子宇宙学 · 物理学 2022-08-10 J. Blümlein , A. Maier , P. Marquard , G. Schäfer

Making use of the recently-derived, all-spin, opposite-helicity Compton amplitude, we calculate the classical gravitational scattering amplitude for one spinning and one spinless object at $\mathcal{O}(G^{2})$ and all orders in spin. By…

高能物理 - 理论 · 物理学 2022-10-12 Rafael Aoude , Kays Haddad , Andreas Helset

We are employing a supersymmetric variant of the worldline quantum field theory (WQFT) formalism to compute the far-field momentum-space gravitational waveform emitted during the scattering of two spinning black holes at next-to-leading…

高能物理 - 理论 · 物理学 2025-06-06 Lara Bohnenblust , Harald Ita , Manfred Kraus , Johannes Schlenk