Built on

S. Foffa, P. Mastrolia, R. Sturani, C. Sturm and W. J. Torres Bobadilla, Static two-body potential at fifth post-Newtonian order , Phys. Rev. Lett. 122
Original
1902
Earlier work this paper cites.
J. Blümlein, A. Maier and P. Marquard, Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses , Phys. Lett. B800
Original
1902
Earlier work this paper cites.
S. Foffa and R. Sturani, Hereditary Terms at Next-To-Leading Order in Two-Body Gravitational Dynamics , 1907.02869
Original
1907
Earlier work this paper cites.
M.-Z. Chung, Y.-T. Huang and J.-W. Kim, Classical potential for general spinning bodies , JHEP 09
Original
1908
Earlier work this paper cites.
M. Levi, S. Mougiakakos and M. Vieira, Gravitational cubic-in-spin interaction at the next-to-leading post-Newtonian order , 1912.06276
Original
1912
Earlier work this paper cites.
W. Tulczyjew, Motion of multipole particles in general relativity theory , Acta Phys.Polon. 18
1959
Earlier work this paper cites.
W. Dixon, Dynamics of extended bodies in general relativity. I. Momentum and angular momentum , Proc. Roy. Soc. Lond. A 314
1970
Earlier work this paper cites.
B. Barker and R. O’Connell, Gravitational Two-Body Problem with Arbitrary Masses, Spins, and Quadrupole Moments , Phys.Rev. D12
1975
Earlier work this paper cites.
R. Schattner, The uniqueness of the center-of-mass in general relativity , Gen.Rel.Grav. 10
1979
Earlier work this paper cites.
R. Schattner, The center-of-mass in general relativity , Gen.Rel.Grav. 10
1979
Earlier work this paper cites.
J. A. M. Vermaseren, Axodraw , Comput. Phys. Commun. 83
1994
Earlier work this paper cites.
E. Poisson, Gravitational waves from inspiraling compact binaries: The Quadrupole moment term , Phys.Rev. D57
1998
Earlier work this paper cites.
A. Buonanno and T. Damour, Effective one-body approach to general relativistic two-body dynamics , Phys.Rev. D59
1999
Earlier work this paper cites.
R. Aoude, K. Haddad and A. Helset, On-shell heavy particle effective theories , 2001.09164
Original
2001
Earlier work this paper cites.
M. Levi, A. J. McLeod and M. von Hippel, NNNLO gravitational spin-orbit coupling at the quartic order in G , 2003.02827
Original
2003
Earlier work this paper cites.
A. Antonelli, C. Kavanagh, M. Khalil, J. Steinhoff and J. Vines, Gravitational spin-orbit coupling through third-subleading post-Newtonian order: from first-order self-force to arbitrary mass ratios , Phys. Rev. Lett. 125
Original
2003
Earlier work this paper cites.
M. Levi, A. J. McLeod and M. von Hippel, NNNLO gravitational quadratic-in-spin interactions at the quartic order in G , 2003.07890
Original
2003
Earlier work this paper cites.

Similar

D. Bini, T. Damour and A. Geralico, Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders , 2003.11891
Original
2003
Cited alongside, same era.
M.-Z. Chung, Y.-t. Huang, J.-W. Kim and S. Lee, Complete Hamiltonian for spinning binary systems at first post-Minkowskian order , 2003.06600
Original
2003
Cited alongside, same era.
D. Binosi and L. Theussl, JaxoDraw: A Graphical user interface for drawing Feynman diagrams , Comput. Phys. Commun. 161
2004
Cited alongside, same era.
Z. Bern, A. Luna, R. Roiban, C.-H. Shen and M. Zeng, Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory , 2005.03071
Original
2005
Cited alongside, same era.
W. D. Goldberger and I. Z. Rothstein, An Effective field theory of gravity for extended objects , Phys.Rev. D73

Then

D. Bini, T. Damour and G. Faye, Effective action approach to higher-order relativistic tidal interactions in binary systems and their effective one body description , Phys.Rev. D85
Original
2012
Later among the works it cites.
L. Blanchet, Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries , Living Rev. Rel. 17
Original
2014
Later among the works it cites.
M. Levi and J. Steinhoff, Equivalence of ADM Hamiltonian and Effective Field Theory approaches at next-to-next-to-leading order spin1-spin2 coupling of binary inspirals , JCAP 1412
Original
2014
Later among the works it cites.
M. Levi and J. Steinhoff, Spinning gravitating objects in the effective field theory in the post-Newtonian scheme , JHEP 09
Original
2015
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2020

NLO gravitational quartic-in-spin interaction

Levi, Michèle, Teng, Fei

Understand

In this paper we derive for the first time the complete gravitational quartic-in-spin interaction of generic compact binaries at the next-to-leading order in the post-Newtonian (PN) expansion.

The derivation builds on the effective field theory for gravitating spinning objects, and its recent extensions, in which new type of worldline couplings should be considered, as well as on the extension of the effective action of a spinning particle to quadratic order in the curvature.
The latter extension entails a new Wilson coefficient that appears in this sector.
This work pushes the precision frontier with spins at the fifth PN (5PN) order for maximally-spinning compact objects, and at the same time informs us of the gravitational Compton scattering with higher spins.