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Tidal Effects in the Post-Minkowskian Expansion

Cheung, Clifford and Solon, Mikhail P. (2020) Tidal Effects in the Post-Minkowskian Expansion. Physical Review Letters, 125 (19). Art. No. 191601. ISSN 0031-9007. doi:10.1103/PhysRevLett.125.191601.

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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.

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Additional Information:© 2020 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. Received 26 June 2020; accepted 30 September 2020; published 2 November 2020. We are grateful to Zvi Bern, Luc Blanchet, Thibault Damour, Walter Goldberger, Ira Rothstein, Jan Steinhoff, and Justin Vines for comments on this manuscript. C. C. and M. P. S. are supported by the DOE under Award No. DE-SC0011632 and by the Walter Burke Institute for Theoretical Physics. The calculations here used the computer algebra system Mathematica [49] in combination with feyncalc [50] and xact [51], as well as the On-Line Encyclopedia of Integer Sequences [52] and the Hoffman2 Cluster at the Institute for Digital Research and Education at UCLA.
Group:Walter Burke Institute for Theoretical Physics
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Department of Energy (DOE)DE-SC0011632
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
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Issue or Number:19
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ID Code:103967
Deposited By: Joy Painter
Deposited On:22 Jun 2020 22:27
Last Modified:16 Nov 2021 18:26

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