2021
DOI: 10.48550/arxiv.2112.01509
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Quadratic-in-spin interactions at fifth post-Newtonian order probe new physics

Jung-Wook Kim,
Michèle Levi,
Zhewei Yin

Abstract: We derive the observable binding energies and their relations to the angular momentum for the next-to-next-to-next-to-leading order (N 3 LO) of all quadratic-in-spin interactions in post-Newtonian (PN) gravity. Our results are valid for all generic compact binaries, and enter at the fifth PN order for maximally-rotating compact objects, thus pushing the state of the art. This is accomplished through an extension of the effective field theory of spinning gravitating objects. We find a new operator that contribu… Show more

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Cited by 7 publications
(9 citation statements)
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“…[305] for a comprehensive review of spin effects in the post-Newtonian expansion using worldline EFTs and Refs. [306][307][308][309][310][311][312][313][314][315] for recent results using worldine approaches). Some results for spin corrections to the two-body effective potential for a binary system were carried out in Refs.…”
Section: Higher Spin Techniques For Black Hole Scatteringmentioning
confidence: 99%
“…[305] for a comprehensive review of spin effects in the post-Newtonian expansion using worldline EFTs and Refs. [306][307][308][309][310][311][312][313][314][315] for recent results using worldine approaches). Some results for spin corrections to the two-body effective potential for a binary system were carried out in Refs.…”
Section: Higher Spin Techniques For Black Hole Scatteringmentioning
confidence: 99%
“…Furthermore, observables computed for scattering events in the PM expansion can be compared with those computed in the more traditional post-Newtonian (PN) [65] perturbation theory (for spin effects in the PN scheme see e.g. [66][67][68][69][70][71][72][73][74][75]), which is more suitable for describing bound orbits, using the so-called Bound-to-Boundary (B2B) [16][17][18] correspondence.…”
Section: Introductionmentioning
confidence: 99%
“…in Refs. [21][22][23], pushing the state-of-the-art for spinning particles to the N 3 LO spin-orbit [24,25], N 3 LO quadratic-in-spin [26][27][28], NLO cubic-in-spin [29], and NLO quartic-in-spin [30]. Spinning binary dynamics may also be treated in a post-Minkowskian expansion, where one works to all orders in speeds but perturbatively in the strength of the fields, regulated by powers of the gravitational constant G, as in the post-Minkowskian worldline approaches in Refs.…”
Section: Introductionmentioning
confidence: 99%