Radiation Reaction and Gravitational Waves at Fourth Post-Minkowskian Order

Dlapa, Christoph; Kälin, Gregor; Liu, Zhengwen; Neef, Jakob; Porto, Rafael A.

doi:10.1103/physrevlett.130.101401

Cited by 72 publications

(26 citation statements)

References 114 publications

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“…It would be interesting to see if we can overcome the difficulties at higher orders, such as radiation reaction effects (see e.g. [35][36][37][38][39][40][41][42][43][44][45] for the effects at the 3PM and 4PM orders) and succeed in constructing the boost generators. The construction of the 2PM boost generators is underway.…”

Section: Discussion and Outlookmentioning

confidence: 99%

Poincaré invariance of spinning binary dynamics in the post-Minkowskian Hamiltonian approach

Lee,

Lee

2023

Class. Quantum Grav.

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We initiate the construction of the global Poincaré algebra generators in the context of the post-Minkowskian Hamiltonian formulation of gravitating binary dynamics in isotropic coordinates that is partly inspired by scattering amplitudes. At the first post-Minkowskian order, we write down the Hamiltonian in a form valid in an arbitrary inertial frame. Then we construct the boost generator at the same order which uniquely solves all the equations required by the Poincaré algebra. Our results are linear in Newton’s constant but exact in velocities and spins, including all spin-multipole moments. We also construct explicitly the canonical transformations that prove the equivalence between our new generators and the corresponding generators in the ADM coordinates up to the second post-Newtonian order.

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Section: Discussion and Outlookmentioning

confidence: 99%

Poincaré invariance of spinning binary dynamics in the post-Minkowskian Hamiltonian approach

Lee,

Lee

2023

Class. Quantum Grav.

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“…In this section, we discuss a family of integrals that appears in the computation of the gravitational potential of two non-spinning binaries, see e.g. [54][55][56][57]. The propagators in JHEP08(2023)120…”

Section: Three-loop Gravitational Potential Integralsmentioning

confidence: 99%

An algorithmic approach to finding canonical differential equations for elliptic Feynman integrals

Dlapa,

Henn,

Wagner

2023

J. High Energ. Phys.

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In recent years, differential equations have become the method of choice to compute multi-loop Feynman integrals. Whenever they can be cast into canonical form, their solution in terms of special functions is straightforward. Recently, progress has been made in understanding the precise canonical form for Feynman integrals involving elliptic polylogarithms. In this article, we make use of an algorithmic approach that proves powerful to find canonical forms for these cases. To illustrate the method, we reproduce several known canonical forms from the literature and present examples where a canonical form is deduced for the first time. Together with this article, we also release an update for INITIAL, a publicly available Mathematica implementation of the algorithm.

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“…Recent years have seen tremendous advances in these weak-field perturbative approaches. In particular, new and powerful calculational methods based on relativistic scattering amplitudes [24][25][26][27][28][29][30][31][32][33][34][35][36] and worldline effective field theories (EFT) [37][38][39][40][41][42][43][44][45][46], have allowed for rapid progress in understanding the PM scattering regime of the gravitational two-body problem. These approaches share the common strategy of initially framing the problem in quantum mechanical language, and then using the eventual classical or ℏ → 0 limit as an additional JHEP03(2024)015 expansion leading to vast simplifications in the required calculations.…”

Section: Introductionmentioning

confidence: 99%

Absorptive effects and classical black hole scattering

Jones,

Ruf

2024

J. High Energ. Phys.

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We describe an approach to incorporating the physical effects of the absorption of energy by the event horizon of black holes in the scattering amplitudes based post-Minkowskian, point-particle effective description. Absorptive dynamics are incorporated in a model-independent way by coupling the usual point-particle description to an invisible sector of gapless internal degrees-of-freedom. The leading order dynamics of this sector are encoded in the low-energy expansion of a spectral density function obtained by matching an absorption cross section in the ultraviolet description. This information is then recycled using the scattering amplitudes based Kosower-Maybee-O’Connell in-in formalism to calculate the leading absorptive contribution to the impulse and change in rest mass of a Schwarzschild black hole scattering with a second compact body sourcing a massless scalar, electromagnetic or gravitational field. The results obtained are in complete agreement with previous worldline Schwinger-Keldysh calculations and provide an alternative on-shell scattering amplitudes approach to incorporating horizon absorption effects in the gravitational two-body problem.

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Radiation Reaction and Gravitational Waves at Fourth Post-Minkowskian Order

Cited by 72 publications

References 114 publications

Poincaré invariance of spinning binary dynamics in the post-Minkowskian Hamiltonian approach

Poincaré invariance of spinning binary dynamics in the post-Minkowskian Hamiltonian approach

An algorithmic approach to finding canonical differential equations for elliptic Feynman integrals

Absorptive effects and classical black hole scattering

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