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Title: Tidal Effects in the Post-Minkowskian Expansion

Abstract

Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in the post-Minkowskian expansion. In the present Letter, we extend this approach to include the tidal effects of mass and current quadrupoles on the conservative dynamics of nonspinning neutron star mergers. We compute the leading and, for the first time, next-to-leading order post-Minkowskian finite size corrections to the conservative Hamiltonian, together with their associated scattering amplitudes and scattering angles. Our expressions are gauge invariant and, in the extreme mass ratio limit, consistent with the dynamics of a tidally deformed test body in a Schwarzschild background. Furthermore, they agree completely with existing results at leading post-Minkowskian and second post-Newtonian orders.

Authors:
;
Publication Date:
Research Org.:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Walter Burke Institute for Theoretical Physics
OSTI Identifier:
1698173
Alternate Identifier(s):
OSTI ID: 1851498
Grant/Contract Number:  
SC0011632
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 125 Journal Issue: 19; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; physics; effective field theory; quantum field theory; general relativity; gravitation; gravitational waves; scattering amplitudes

Citation Formats

Cheung, Clifford, and Solon, Mikhail P. Tidal Effects in the Post-Minkowskian Expansion. United States: N. p., 2020. Web. doi:10.1103/PhysRevLett.125.191601.
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Cheung, Clifford, & Solon, Mikhail P. Tidal Effects in the Post-Minkowskian Expansion. United States. https://doi.org/10.1103/PhysRevLett.125.191601
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Cheung, Clifford, and Solon, Mikhail P. Mon . "Tidal Effects in the Post-Minkowskian Expansion". United States. https://doi.org/10.1103/PhysRevLett.125.191601.
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@article{osti_1698173,
title = {Tidal Effects in the Post-Minkowskian Expansion},
author = {Cheung, Clifford and Solon, Mikhail P.},
abstractNote = {Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in the post-Minkowskian expansion. In the present Letter, we extend this approach to include the tidal effects of mass and current quadrupoles on the conservative dynamics of nonspinning neutron star mergers. We compute the leading and, for the first time, next-to-leading order post-Minkowskian finite size corrections to the conservative Hamiltonian, together with their associated scattering amplitudes and scattering angles. Our expressions are gauge invariant and, in the extreme mass ratio limit, consistent with the dynamics of a tidally deformed test body in a Schwarzschild background. Furthermore, they agree completely with existing results at leading post-Minkowskian and second post-Newtonian orders.},
doi = {10.1103/PhysRevLett.125.191601},
journal = {Physical Review Letters},
number = 19,
volume = 125,
place = {United States},
year = {Mon Nov 02 00:00:00 EST 2020},
month = {Mon Nov 02 00:00:00 EST 2020}
}
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