The amplitude for classical gravitational scattering at third Post-Minkowskian order

N. Emil J. Bjerrum-Bohr; Poul H. Damgaard; Ludovic Plante; Pierre Vanhove

doi:10.1007/JHEP08(2021)172

The amplitude for classical gravitational scattering at third Post-Minkowskian order

N. Emil J. Bjerrum-Bohr^*, Poul H. Damgaard, Ludovic Plante, Pierre Vanhove

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

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Abstract

We compute the scattering amplitude for classical black-hole scattering to third order in the Post-Minkowskian expansion, keeping all terms needed to derive the scattering angle to that order from the eikonal formalism. Our results confirm a conjectured relation between the real and imaginary parts of the amplitude by Di Vecchia, Heissenberg, Russo, and Veneziano, and are in agreement with a recent computation by Damour based on radiation reaction in general relativity.

Original language	English
Article number	172
Journal	Journal of High Energy Physics
Volume	2021
Issue number	8
Number of pages	32
ISSN	1029-8479
DOIs	https://doi.org/10.1007/JHEP08(2021)172
Publication status	Published - 31 Aug 2021

Keywords

Scattering Amplitudes
Classical Theories of Gravity
Effective Field Theories
GRAVITY

Access to Document

10.1007/JHEP08(2021)172

Bjerrum-Bohr2021_Article_TheAmplitudeForClassicalGravitFinal published version, 557 KBLicence: CC BY

Cite this

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title = "The amplitude for classical gravitational scattering at third Post-Minkowskian order",

abstract = "We compute the scattering amplitude for classical black-hole scattering to third order in the Post-Minkowskian expansion, keeping all terms needed to derive the scattering angle to that order from the eikonal formalism. Our results confirm a conjectured relation between the real and imaginary parts of the amplitude by Di Vecchia, Heissenberg, Russo, and Veneziano, and are in agreement with a recent computation by Damour based on radiation reaction in general relativity.",

keywords = "Scattering Amplitudes, Classical Theories of Gravity, Effective Field Theories, GRAVITY",

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T1 - The amplitude for classical gravitational scattering at third Post-Minkowskian order

AU - Bjerrum-Bohr, N. Emil J.

AU - Damgaard, Poul H.

AU - Plante, Ludovic

AU - Vanhove, Pierre

PY - 2021/8/31

Y1 - 2021/8/31

N2 - We compute the scattering amplitude for classical black-hole scattering to third order in the Post-Minkowskian expansion, keeping all terms needed to derive the scattering angle to that order from the eikonal formalism. Our results confirm a conjectured relation between the real and imaginary parts of the amplitude by Di Vecchia, Heissenberg, Russo, and Veneziano, and are in agreement with a recent computation by Damour based on radiation reaction in general relativity.

AB - We compute the scattering amplitude for classical black-hole scattering to third order in the Post-Minkowskian expansion, keeping all terms needed to derive the scattering angle to that order from the eikonal formalism. Our results confirm a conjectured relation between the real and imaginary parts of the amplitude by Di Vecchia, Heissenberg, Russo, and Veneziano, and are in agreement with a recent computation by Damour based on radiation reaction in general relativity.

KW - Scattering Amplitudes

KW - Classical Theories of Gravity

KW - Effective Field Theories

KW - GRAVITY

U2 - 10.1007/JHEP08(2021)172

DO - 10.1007/JHEP08(2021)172

M3 - Journal article

VL - 2021

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

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M1 - 172

ER -