REVIEW 5 cited by
NNNLO gravitational quadratic-in-spin interactions at the quartic order in G
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
NNNLO gravitational quadratic-in-spin interactions at the quartic order in G
read the original abstract
We compute the N$^3$LO gravitational quadratic-in-spin interactions at $G^4$ in the post-Newtonian (PN) expansion via the effective field theory (EFT) of gravitating spinning objects for the first time. This result contributes at the $5$PN order for maximally-spinning compact objects, adding the spinning case to the static sector at this PN accuracy. This sector requires extending the EFT of a spinning particle beyond linear order in the curvature to include higher-order operators quadratic in the curvature that are relevant at this PN order. We make use of a diagrammatic expansion in the worldline picture, and rely on our recent upgrade of the \texttt{EFTofPNG} code, which we further extend to handle this sector. Similar to the spin-orbit sector, we find that the contributing three-loop graphs give rise to divergences, logarithms, and transcendental numbers. However, in this sector all of these features conspire to cancel out from the final result, which contains only finite rational terms.
Forward citations
Cited by 5 Pith papers
-
Gravitational wave scattering at $\mathcal{O}(G^4)$: Murua construction and elliptics
O(G^4) gravitational wave scattering amplitude computed in worldline QFT with Murua decomposition, matched to black hole perturbation theory to validate the formalism for Schwarzschild black holes.
-
Five-dimensional Geometry from Spinning Amplitudes
The classical limit of five-dimensional spinning amplitudes reproduces the multipole expansion of five-dimensional black holes after augmenting with the Hodge dual of the spin tensor, and identifies amplitudes corresp...
-
Generalized Carter & R\"udiger Constants of $\sqrt{\text{Kerr}}$
Generalized Carter and Rüdiger constants for spinning charged probes in √Kerr backgrounds exist only for Wilson coefficients matching spin-exponentiated effective Compton amplitudes up to second order in spin.
-
All-order structure of static gravitational interactions and the seventh post-Newtonian potential
A closed formula computes static post-Newtonian corrections at arbitrary odd orders in gravity, yielding the explicit seventh post-Newtonian potential that matches an independent diagrammatic method.
-
NLO Angular Impulse and Leading Singularities to all orders in spin for Kerr Black Holes
NLO angular impulse for Kerr black holes computed to all orders in spin via KMOC formalism and leading singularities, with consistency checks and potential extraction.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.