Scattering Amplitudes and Conservative Binary Dynamics at O(G^{4}).
Zvi Bern,Julio Parra-Martinez,Radu Roiban,Michael Ruf,Chia Hsien Shen,Mikhail P. Solon,Mao Zeng +6 more
TLDR
In this article, the authors derived the radial action directly from the amplitude, and determined the corresponding Hamiltonian in isotropic gauge, in agreement with known overlapping terms up to sixth post-Newtonian order, and with the probe limit.Abstract:
Using scattering amplitudes, we obtain the potential contributions to conservative binary dynamics in general relativity at fourth post-Minkowskian order, ${\cal O}(G^4)$. As in previous lower-order calculations, we harness powerful tools from the modern scattering amplitudes program including generalized unitarity, the double copy, and advanced multiloop integration methods, in combination with effective field theory. The classical amplitude involves polylogarithms with up to transcendental weight two and elliptic integrals. We derive the radial action directly from the amplitude, and determine the corresponding Hamiltonian in isotropic gauge. Our results are in agreement with known overlapping terms up to sixth post-Newtonian order, and with the probe limit. We also determine the post-Minkowskian energy loss from radiation emission at ${\cal O}(G^3)$ via its relation to the tail effect.read more
Citations
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Classical gravitational scattering from a gauge-invariant double copy
TL;DR: In this article, the authors propose a method to compute the scattering angle for classical black hole scattering directly from two massive particle irreducible diagrams in a heavy-mass effective field theory approach to general relativity, without the need of subtracting iteration terms.
Journal ArticleDOI
The Amplitude for Classical Gravitational Scattering at Third Post-Minkowskian Order
N. Emil J. Bjerrum-Bohr,Poul H. Damgaard,Poul H. Damgaard,L. Planté,Pierre Vanhove,Pierre Vanhove,Pierre Vanhove +6 more
TL;DR: In this article, the authors compute the scattering amplitude for classical black-hole scattering to third order in the Post-Minkowskian expansion, keeping all terms needed to derive the scattering angle to that order from the eikonal formalism.
Journal ArticleDOI
Springer : The eikonal approach to gravitational scattering and radiation at $ \mathcal{O} $(G$^{3}$)
Paolo Di Vecchia,Paolo Di Vecchia,Carlo Heissenberg,Carlo Heissenberg,Rodolfo Russo,Gabriele Veneziano,Gabriele Veneziano +6 more
TL;DR: In this paper, the 3PM gravitational eikonal for two colliding massive scalars from the classical limit of the corresponding elastic two-loop amplitude was obtained by using the method of differential equations with complete near-static boundary conditions.
Journal ArticleDOI
Leading nonlinear tidal effects and scattering amplitudes
TL;DR: In this article, the two-body Hamiltonian and associated eikonal phase were shown to be in the leading post-Minkowskian order for infinitely many tidal deformations described by operators with arbitrary powers of the curvature tensor.
Journal ArticleDOI
Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
TL;DR: In this article, the rotational degrees of freedom in a manifestly covariant framework were derived for the post-Minkowskian regime for the special case of spins aligned with the orbital angular momentum.
References
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The Einstein Telescope: a third-generation gravitational wave observatory
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TL;DR: The third-generation ground-based observatory Einstein Telescope (ET) project as discussed by the authors is currently in its design study phase, and it can be seen as the first step in this direction.