We consider black hole scattering up to the fifth post-Minkowskian (G5) order and compare the predictions of the tutti frutti formalism to the results obtained within two different versions of worldline effective field theory. At the G4 order we highlight the complete agreement between tutti frutti results and the results of [C. Dlapa et al., [Phys. Rev. Lett. 130, 101401 (2023)]], and show how the tutti frutti approach allows one to extract the O(G3) angular momentum loss from the O(G4) impulse. We compare the sixth post-Newtonian (6PN) accurate tutti frutti predictions to the recent results of [M. Driesse et al., [Nature 641, 603 (2025)]], which are at the G5 order, and at the leading order in the two mass ratios, finding complete agreement. We highlight that this agreement involves the presence at the 5.5PN level of a nonlocal tail-of-tail contribution to the scattering (first computed in [D. Bini et al., [Phys. Rev. D 102, 084047 (2020)]]), and involves, at the 6PN level, the presence of a O(G4) contribution to the angular momentum loss [C. Heissenberg, [Phys. Rev. D 111, 126012 (2025)]]. At the second order in the mass ratios of the O(G5) order we predict two independent gauge-invariant observables to high-PN accuracy.

High precision black hole scattering: Tutti frutti vs worldline effective field theory

Bini D.
Membro del Collaboration Group
;
2025

Abstract

We consider black hole scattering up to the fifth post-Minkowskian (G5) order and compare the predictions of the tutti frutti formalism to the results obtained within two different versions of worldline effective field theory. At the G4 order we highlight the complete agreement between tutti frutti results and the results of [C. Dlapa et al., [Phys. Rev. Lett. 130, 101401 (2023)]], and show how the tutti frutti approach allows one to extract the O(G3) angular momentum loss from the O(G4) impulse. We compare the sixth post-Newtonian (6PN) accurate tutti frutti predictions to the recent results of [M. Driesse et al., [Nature 641, 603 (2025)]], which are at the G5 order, and at the leading order in the two mass ratios, finding complete agreement. We highlight that this agreement involves the presence at the 5.5PN level of a nonlocal tail-of-tail contribution to the scattering (first computed in [D. Bini et al., [Phys. Rev. D 102, 084047 (2020)]]), and involves, at the 6PN level, the presence of a O(G4) contribution to the angular momentum loss [C. Heissenberg, [Phys. Rev. D 111, 126012 (2025)]]. At the second order in the mass ratios of the O(G5) order we predict two independent gauge-invariant observables to high-PN accuracy.
2025
Istituto Applicazioni del Calcolo ''Mauro Picone''
Two-body problem, scattering
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/563187
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