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:
- 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}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.102.124025
https://doi.org/10.1103/PhysRevD.102.124025
Other availability
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Classical space–times from the S-matrix
journal, December 2013
- Neill, Duff; Rothstein, Ira Z.
- Nuclear Physics B, Vol. 877, Issue 2
GW190425: Observation of a Compact Binary Coalescence with Total Mass ∼ 3.4 M ⊙
journal, March 2020
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- The Astrophysical Journal, Vol. 892, Issue 1
Progress in effective field theory approach to the binary inspiral problem
journal, May 2014
- Rothstein, Ira Z.
- General Relativity and Gravitation, Vol. 46, Issue 6
Gravitational collider physics
journal, April 2020
- Baumann, Daniel; Chia, Horng Sheng; Porto, Rafael A.
- Physical Review D, Vol. 101, Issue 8
GW170817: Measurements of Neutron Star Radii and Equation of State
journal, October 2018
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review Letters, Vol. 121, Issue 16
Conservative dynamics of binary systems to fourth post-Newtonian order in the EFT approach. II. Renormalized Lagrangian
journal, July 2019
- Foffa, Stefano; Porto, Rafael A.; Rothstein, Ira
- Physical Review D, Vol. 100, Issue 2
Effective field theory calculation of conservative binary dynamics at third post-Newtonian order
journal, August 2011
- Foffa, Stefano; Sturani, Riccardo
- Physical Review D, Vol. 84, Issue 4
Next to leading order spin(1)spin(1) effects in the motion of inspiralling compact binaries
journal, August 2008
- Porto, Rafael A.; Rothstein, Ira Z.
- Physical Review D, Vol. 78, Issue 4
Black hole mergers and the QCD axion at Advanced LIGO
journal, February 2017
- Arvanitaki, Asimina; Baryakhtar, Masha; Dimopoulos, Savas
- Physical Review D, Vol. 95, Issue 4
Effective field theory calculation of second post-Newtonian binary dynamics
journal, December 2008
- Gilmore, James B.; Ross, Andreas
- Physical Review D, Vol. 78, Issue 12
Next-to-leading-order spin–orbit effects in the motion of inspiralling compact binaries
journal, August 2010
- Porto, Rafael A.
- Classical and Quantum Gravity, Vol. 27, Issue 20
Tail effect in gravitational radiation reaction: Time nonlocality and renormalization group evolution
journal, June 2016
- Galley, Chad R.; Leibovich, Adam K.; Porto, Rafael A.
- Physical Review D, Vol. 93, Issue 12
Black Holes in an Effective Field Theory Extension of General Relativity
journal, December 2018
- Cardoso, Vitor; Kimura, Masashi; Maselli, Andrea
- Physical Review Letters, Vol. 121, Issue 25
Spin(1)spin(2) effects in the motion of inspiralling compact binaries at third order in the post-Newtonian expansion
journal, August 2008
- Porto, Rafael A.; Rothstein, Ira Z.
- Physical Review D, Vol. 78, Issue 4
Amplitudes, observables, and classical scattering
journal, February 2019
- Kosower, David A.; Maybee, Ben; O’Connell, Donal
- Journal of High Energy Physics, Vol. 2019, Issue 2
Absorption effects due to spin in the worldline approach to black hole dynamics
journal, March 2008
- Porto, Rafael A.
- Physical Review D, Vol. 77, Issue 6
From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
journal, December 2018
- Cheung, Clifford; Rothstein, Ira Z.; Solon, Mikhail P.
- Physical Review Letters, Vol. 121, Issue 25
Effective field theory approach to the gravitational two-body dynamics at fourth post-Newtonian order and quintic in the Newton constant
journal, May 2017
- Foffa, Stefano; Mastrolia, Pierpaolo; Sturani, Riccardo
- Physical Review D, Vol. 95, Issue 10
Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
journal, May 2019
- Bern, Zvi; Cheung, Clifford; Roiban, Radu
- Physical Review Letters, Vol. 122, Issue 20
Spin induced multipole moments for the gravitational wave flux from binary inspirals to third Post-Newtonian order
journal, March 2011
- Porto, Rafael A.; Ross, Andreas; Rothstein, Ira Z.
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 03
Black hole binary dynamics from the double copy and effective theory
journal, October 2019
- Bern, Zvi; Cheung, Clifford; Roiban, Radu
- Journal of High Energy Physics, Vol. 2019, Issue 10
Relativistic theory of tidal Love numbers
journal, October 2009
- Binnington, Taylor; Poisson, Eric
- Physical Review D, Vol. 80, Issue 8
Tidal effects in the equations of motion of compact binary systems to next-to-next-to-leading post-Newtonian order
journal, March 2020
- Henry, Quentin; Faye, Guillaume; Blanchet, Luc
- Physical Review D, Vol. 101, Issue 6
Tidal Effects in the Post-Minkowskian Expansion
journal, November 2020
- Cheung, Clifford; Solon, Mikhail P.
- Physical Review Letters, Vol. 125, Issue 19
Testing binary dynamics in gravity at the sixth post-Newtonian level
journal, August 2020
- Blümlein, J.; Maier, A.; Marquard, P.
- Physics Letters B, Vol. 807
GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
journal, September 2019
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review X, Vol. 9, Issue 3
Radiation reaction at 3.5 post-Newtonian order in effective field theory
journal, August 2012
- Galley, Chad R.; Leibovich, Adam K.
- Physical Review D, Vol. 86, Issue 4
Radiation reaction for spinning bodies in effective field theory. I. Spin-orbit effects
journal, October 2017
- Maia, Natália T.; Galley, Chad R.; Leibovich, Adam K.
- Physical Review D, Vol. 96, Issue 8
First law of binary black hole mechanics in general relativity and post-Newtonian theory
journal, March 2012
- Le Tiec, Alexandre; Blanchet, Luc; Whiting, Bernard F.
- Physical Review D, Vol. 85, Issue 6
Radiation reaction for spinning bodies in effective field theory. II. Spin-spin effects
journal, October 2017
- Maia, Natália T.; Galley, Chad R.; Leibovich, Adam K.
- Physical Review D, Vol. 96, Issue 8
Gravitational radiative corrections from effective field theory
journal, June 2010
- Goldberger, Walter D.; Ross, Andreas
- Physical Review D, Vol. 81, Issue 12
GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
journal, October 2017
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review Letters, Vol. 119, Issue 16
Effective field theory of gravity for extended objects
journal, May 2006
- Goldberger, Walter D.; Rothstein, Ira Z.
- Physical Review D, Vol. 73, Issue 10
Classical and quantum scattering in post-Minkowskian gravity
journal, July 2020
- Damour, Thibault
- Physical Review D, Vol. 102, Issue 2
Black hole stereotyping: induced gravito-static polarization
journal, February 2012
- Kol, Barak; Smolkin, Michael
- Journal of High Energy Physics, Vol. 2012, Issue 2
General Relativity from Scattering Amplitudes
journal, October 2018
- Bjerrum-Bohr, N. E. J.; Damgaard, Poul H.; Festuccia, Guido
- Physical Review Letters, Vol. 121, Issue 17
Five-loop static contribution to the gravitational interaction potential of two point masses
journal, January 2020
- Blümlein, J.; Maier, A.; Marquard, P.
- Physics Letters B, Vol. 800
Calculation of the First Nonlinear Contribution to the General-Relativistic Spin-Spin Interaction for Binary Systems
journal, July 2006
- Porto, Rafael A.; Rothstein, Ira Z.
- Physical Review Letters, Vol. 97, Issue 2
Classical gravitational scattering at $$ \mathcal{O} $$(G3) from Feynman diagrams
journal, June 2020
- Cheung, Clifford; Solon, Mikhail P.
- Journal of High Energy Physics, Vol. 2020, Issue 6
Effective field theory methods to model compact binaries
journal, January 2014
- Foffa, Stefano; Sturani, Riccardo
- Classical and Quantum Gravity, Vol. 31, Issue 4
Eikonal phase matrix, deflection angle, and time delay in effective field theories of gravity
journal, August 2020
- Accettulli Huber, Manuel; Brandhuber, Andreas; De Angelis, Stefano
- Physical Review D, Vol. 102, Issue 4
Dissipative effects in the worldline approach to black hole dynamics
journal, May 2006
- Goldberger, Walter D.; Rothstein, Ira Z.
- Physical Review D, Vol. 73, Issue 10
High-energy gravitational scattering and the general relativistic two-body problem
journal, February 2018
- Damour, Thibault
- Physical Review D, Vol. 97, Issue 4
Relativistic tidal properties of neutron stars
journal, October 2009
- Damour, Thibault; Nagar, Alessandro
- Physical Review D, Vol. 80, Issue 8
Post-Minkowskian Hamiltonians in general relativity
journal, October 2019
- Cristofoli, Andrea; Bjerrum-Bohr, N. E. J.; Damgaard, Poul H.
- Physical Review D, Vol. 100, Issue 8
GW190814: Gravitational Waves from the Coalescence of a 23 Solar Mass Black Hole with a 2.6 Solar Mass Compact Object
journal, June 2020
- Abbott, R.; Abbott, T. D.; Abraham, S.
- The Astrophysical Journal, Vol. 896, Issue 2
Apparent ambiguities in the post-Newtonian expansion for binary systems
journal, July 2017
- Porto, Rafael A.; Rothstein, Ira Z.
- Physical Review D, Vol. 96, Issue 2
Static Two-Body Potential at Fifth Post-Newtonian Order
journal, June 2019
- Foffa, Stefano; Mastrolia, Pierpaolo; Sturani, Riccardo
- Physical Review Letters, Vol. 122, Issue 24
Novel Approach to Binary Dynamics: Application to the Fifth Post-Newtonian Level
journal, December 2019
- Bini, Donato; Damour, Thibault; Geralico, Andrea
- Physical Review Letters, Vol. 123, Issue 23
Second post-Newtonian order radiative dynamics of inspiralling compact binaries in the effective field theory approach
journal, April 2020
- Leibovich, Adam K.; Maia, Natália T.; Rothstein, Ira Z.
- Physical Review D, Vol. 101, Issue 8
The effective field theorist’s approach to gravitational dynamics
journal, May 2016
- Porto, Rafael A.
- Physics Reports, Vol. 633
Post-Newtonian corrections to the motion of spinning bodies in nonrelativistic general relativity
journal, May 2006
- Porto, Rafael A.
- Physical Review D, Vol. 73, Issue 10
The tune of love and the nature(ness) of spacetime : The tune of love and the
journal, September 2016
- Porto, Rafael A.
- Fortschritte der Physik, Vol. 64, Issue 10
From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist)
journal, February 2020
- Kälin, Gregor; Porto, Rafael A.
- Journal of High Energy Physics, Vol. 2020, Issue 2
Scattering of tidally interacting bodies in post-Minkowskian gravity
journal, February 2020
- Bini, Donato; Damour, Thibault; Geralico, Andrea
- Physical Review D, Vol. 101, Issue 4
Dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant
journal, March 2013
- Foffa, Stefano; Sturani, Riccardo
- Physical Review D, Vol. 87, Issue 6
Gravitational scattering, post-Minkowskian approximation, and effective-one-body theory
journal, November 2016
- Damour, Thibault
- Physical Review D, Vol. 94, Issue 10
Spin induced multipole moments for the gravitational wave amplitude from binary inspirals to 2.5 Post-Newtonian order
journal, September 2012
- Porto, Rafael A.; Ross, Andreas; Rothstein, Ira Z.
- Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 09
Analytic approximations, perturbation theory, effective field theory methods and their applications
journal, April 2014
- Cardoso, Vitor; Porto, Rafael A.
- General Relativity and Gravitation, Vol. 46, Issue 5
Probing ultralight bosons with binary black holes
journal, February 2019
- Baumann, Daniel; Chia, Horng Sheng; Porto, Rafael A.
- Physical Review D, Vol. 99, Issue 4
Constraining neutron-star tidal Love numbers with gravitational-wave detectors
journal, January 2008
- Flanagan, Éanna É.; Hinderer, Tanja
- Physical Review D, Vol. 77, Issue 2
From boundary data to bound states
journal, January 2020
- Kälin, Gregor; Porto, Rafael A.
- Journal of High Energy Physics, Vol. 2020, Issue 1