Angular Momentum Loss due to Tidal Effects in the Post-Minkowskian Expansion

Heissenberg, Carlo

doi:10.1103/physrevlett.131.011603

Phys. Rev. Lett.

2023

DOI: 10.1103/physrevlett.131.011603

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Angular Momentum Loss due to Tidal Effects in the Post-Minkowskian Expansion

Carlo Heissenberg

Abstract: We calculate the spin-orbit corrections to the loss of angular momentum in a two-body scattering at third Post-Minkowskian order, O(G 3 ), from scattering amplitudes using the eikonal operator. These results include effects linear in spin, are valid for generic spin orientations and are presented in a manifestly Poincaré covariant way. We include both radiative losses, by means of the leadingorder gravitational waveform, and static losses by means of the appropriate −i0 prescription in the leading soft gravito… Show more

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Cited by 16 publications

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“…[65][66][67][68] Φ F (x) = e i p•x F (p) + e −i p•x F * (p) θ (p 0 ) 2πδ(p 2 ) d 4 p (2π) 4 , F (p) = n g n p n • p − i0 . (341)…”

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confidence: 99%

p-forms on the celestial sphere

Donnay,

Esmaeili,

Heissenberg

2023

SciPost Phys.

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We construct a basis of conformal primary wavefunctions (CPWs) for pp-form fields in any dimension, calculating their scalar products and exhibiting the change of basis between conventional plane wave and CPW mode expansions. We also perform the analysis of the associated shadow transforms. For each family of pp-form CPWs, we observe the existence of pure gauge wavefunctions of conformal dimension \Delta=pΔ=p, while shadow pp-forms of this weight are only pure gauge in the critical spacetime dimension value D=2p+2D=2p+2. We then provide a systematic technique to obtain the large-rr asymptotic limit near \mathscr Iℐ based on the method of regions, which naturally takes into account the presence of both ordinary and contact terms on the celestial sphere. In D=4D=4, this allows us to reformulate in a conformal primary language the links between scalars and dual two-forms.

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“…[65][66][67][68] Φ F (x) = e i p•x F (p) + e −i p•x F * (p) θ (p 0 ) 2πδ(p 2 ) d 4 p (2π) 4 , F (p) = n g n p n • p − i0 . (341)…”

mentioning

confidence: 99%

p-forms on the celestial sphere

Donnay,

Esmaeili,

Heissenberg

2023

SciPost Phys.

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Gravitational bound waveforms from amplitudes

Adamo,

Gonzo,

Ilderton

2024

J. High Energ. Phys.

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With the aim of computing bound waveforms from scattering amplitudes, we explore gravitational two-body dynamics using the Schwinger-Dyson equations and Bethe-Salpeter recursion. We show that the tree-level scattering waveform admits a natural analytic continuation, in rapidity, to the bound waveform, which we confirm from an independent calculation, in the Post-Newtonian expansion, of the time-domain multipoles at large eccentricity. We demonstrate consistency of this scattering-to-bound map with the Damour-Deruelle prescription for orbital elements in the quasi-Keplerian parametrization (which enters into the evaluation of the multipoles) and with the analytic continuation, in the binding energy, of radiated energy and angular momentum at 3PM.

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Binary black holes and quantum off-shell recursion

Cho,

Kim,

Lee

2024

J. High Energ. Phys.

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The quantum off-shell recursion provides an efficient and universal computational tool for loop-level scattering amplitudes. In this work, we present a new comprehensive computational framework based on the quantum off-shell recursion for binary black hole systems. Using the quantum perturbiner method, we derive the recursions and solve them explicitly up to two-loop order. We introduce an indicator that enables straightforward distinguishing diagrams and deriving integral families in the context of off-shell recursions. By employing the soft expansion technique, we remove irrelevant terms from the loop integrands and express them in terms of master integrals. We classify the one-loop and the two-loop classical diagrams, and their loop integrands are represented by linear combinations of the master integrals. Finally, we explicitly calculate the classical scalar 2 → 2 amplitudes in the potential region up to the 3PM order and reproduce the known results.

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Angular Momentum Loss due to Tidal Effects in the Post-Minkowskian Expansion

Cited by 16 publications

References 168 publications

p-forms on the celestial sphere

p-forms on the celestial sphere

Gravitational bound waveforms from amplitudes

Binary black holes and quantum off-shell recursion

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