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Title: Conservative tidal effects in compact binary systems to next-to-leading post-Minkowskian order

Abstract

Using the Effective Field Theory approach together with the boundary-to-bound map, we compute the next-to-leading order (NLO) post-Minkowskian (PM) tidal effects in the conservative dynamics of compact binary systems. We derive the mass and current quadrupole and, for the first time, octupole corrections to the binding energy for circular orbits at O(G3). Our results are consistent with the test-body limit as well as the existent post-Newtonian literature. We also reconstruct a Hamiltonian incorporating tidal effects to NLO in the PM expansion and find complete agreement with the recent derivation of its quadrupolar part using the classical limit of scattering amplitudes.

Authors:
ORCiD logo; ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); European Union Horizon 2020; Knut and Alice Wallenberg Foundation
OSTI Identifier:
1734829
Alternate Identifier(s):
OSTI ID: 1768058
Grant/Contract Number:  
AC02-76SF00515; 817791; 390833306; KAW 2018.0441
Resource Type:
Published Article
Journal Name:
Physical Review. D.
Additional Journal Information:
Journal Name: Physical Review. D. Journal Volume: 102 Journal Issue: 12; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Classical solutions in field theory; effective field theory; gravitational waves; perturbation theory; astronomical black holes; binary stars; neutron stars & pulsars

Citation Formats

Kälin, Gregor, Liu, Zhengwen, and Porto, Rafael A. Conservative tidal effects in compact binary systems to next-to-leading post-Minkowskian order. United States: N. p., 2020. Web. doi:10.1103/PhysRevD.102.124025.
Kälin, Gregor, Liu, Zhengwen, & Porto, Rafael A. Conservative tidal effects in compact binary systems to next-to-leading post-Minkowskian order. United States. https://doi.org/10.1103/PhysRevD.102.124025
Kälin, Gregor, Liu, Zhengwen, and Porto, Rafael A. Wed . "Conservative tidal effects in compact binary systems to next-to-leading post-Minkowskian order". United States. https://doi.org/10.1103/PhysRevD.102.124025.
@article{osti_1734829,
title = {Conservative tidal effects in compact binary systems to next-to-leading post-Minkowskian order},
author = {Kälin, Gregor and Liu, Zhengwen and Porto, Rafael A.},
abstractNote = {Using the Effective Field Theory approach together with the boundary-to-bound map, we compute the next-to-leading order (NLO) post-Minkowskian (PM) tidal effects in the conservative dynamics of compact binary systems. We derive the mass and current quadrupole and, for the first time, octupole corrections to the binding energy for circular orbits at O(G3). Our results are consistent with the test-body limit as well as the existent post-Newtonian literature. We also reconstruct a Hamiltonian incorporating tidal effects to NLO in the PM expansion and find complete agreement with the recent derivation of its quadrupolar part using the classical limit of scattering amplitudes.},
doi = {10.1103/PhysRevD.102.124025},
journal = {Physical Review. D.},
number = 12,
volume = 102,
place = {United States},
year = {Wed Dec 09 00:00:00 EST 2020},
month = {Wed Dec 09 00:00:00 EST 2020}
}

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