Built on

Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon, and M. Zeng, “Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order,” Phys. Rev. Lett
Original
1901
Earlier work this paper cites.
A. Antonelli, A. Buonanno, J. Steinhoff, M. van de Meent, and J. Vines, “Energetics of two-body Hamiltonians in post-Minkowskian gravity,” Phys. Rev. D
Original
1901
Earlier work this paper cites.
C. P. L. Berry, S. A. Hughes, C. F. Sopuerta, A. J. K. Chua, A. Heffernan, K. Holley-Bockelmann, D. P. Mihaylov, M. C. Miller, and A. Sesana, “The unique potential of extreme mass-ratio inspirals for gravitational-wave astronomy,” arXiv:1903.03686 [astro-ph.HE]
Original
1903
Earlier work this paper cites.
D. Bini, T. Damour, and A. Geralico, “Novel approach to binary dynamics: application to the fifth post-Newtonian level,” Phys. Rev. Lett
Original
1909
Earlier work this paper cites.
G. Kälin and R. A. Porto, “From Boundary Data to Bound States,” JHEP
Original
1910
Earlier work this paper cites.
G. Kälin and R. A. Porto, “From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist),” JHEP
Original
1911
Earlier work this paper cites.
T. Damour, “Classical and quantum scattering in post-Minkowskian gravity,” Phys. Rev. D
Original
1912
Earlier work this paper cites.
B. Bertotti and J. Plebanski, “Theory of gravitational perturbations in the fast motion approximation,” Annals of Physics
1960
Earlier work this paper cites.
F. J. Zerilli, “Gravitational field of a particle falling in a schwarzschild geometry analyzed in tensor harmonics,” Phys. Rev. D
1970
Earlier work this paper cites.
M. J. Duff, “Quantum Tree Graphs and the Schwarzschild Solution,” Phys. Rev. D
1973
Earlier work this paper cites.
K. Westpfahl and M. Goller, “Gravitational scattering of two relativistic particles in post-linear approximation,” Lett. Nuovo Cimento
1979
Earlier work this paper cites.
K. G. Chetyrkin and F. V. Tkachov, “Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops,” Nucl. Phys. B
1981
Earlier work this paper cites.
K. Westpfahl, “High-speed scattering of charged and uncharged particles in general relativity,” Fortschritte der Physik/Progress of Physics
1985
Earlier work this paper cites.
T. Damour and G. Esposito-Farese, “Testing gravity to second postNewtonian order: A Field theory approach,” Phys. Rev. D
1996
Earlier work this paper cites.
Oxford university press, 1998
S. Chandrasekhar, The mathematical theory of black holes · 1998
Earlier work this paper cites.
A. Buonanno and T. Damour, “Effective one-body approach to general relativistic two-body dynamics,” Phys. Rev. D
1999
Earlier work this paper cites.
L. M. Burko, “Self-force on a particle in orbit around a black hole,” Phys. Rev. Lett
2000
Earlier work this paper cites.
M. J. Pfenning and E. Poisson, “Scalar, electromagnetic, and gravitational selfforces in weakly curved space-times,” Phys. Rev. D
2002
Earlier work this paper cites.
D. Bini, T. Damour, and A. Geralico, “Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders,” Phys. Rev. D
Original
2003
Earlier work this paper cites.
S. Detweiler and E. Poisson, “Low multipole contributions to the gravitational self-force,” Physical Review D
2004
Earlier work this paper cites.
F. Pretorius, “Evolution of binary black hole spacetimes,” Phys. Rev. Lett
2005
Earlier work this paper cites.
J. Parra-Martinez, M. S. Ruf, and M. Zeng, “Extremal black hole scattering at 𝒪 ⁡ ( G 3 ) \mathcal{O}(G^{3}) : graviton dominance, eikonal exponentiation, and differential equations,” JHEP
Original
2005
Earlier work this paper cites.
W. D. Goldberger and I. Z. Rothstein, “Effective field theory of gravity for extended objects,” Physical Review D
2006
Earlier work this paper cites.
G. Kälin and R. A. Porto, “Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics,” JHEP
Original
2006
Earlier work this paper cites.

Similar

S. L. Detweiler, “A Consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry,” Phys. Rev. D
Original
2008
Cited alongside, same era.
C. R. Galley and B. L. Hu, “Self-force on extreme mass ratio inspirals via curved spacetime effective field theory,” Physical Review D
2009
Cited alongside, same era.
G. Mogull, J. Plefka, and J. Steinhoff, “Classical black hole scattering from a worldline quantum field theory,” JHEP
Original
2010
Cited alongside, same era.
L. Barack, T. Damour, and N. Sago, “Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism,” Phys. Rev. D
Original
2010
Cited alongside, same era.
S. Mougiakakos and P. Vanhove, “Schwarzschild-Tangherlini metric from scattering amplitudes in various dimensions,” Phys. Rev. D

Then

A. Pound, B. Wardell, N. Warburton, and J. Miller, “Second-order self-force calculation of gravitational binding energy in compact binaries,” Physical Review Letters
2020
Later among the works it cites.
Z. Bern, J. Parra-Martinez, R. Roiban, M. S. Ruf, C.-H. Shen, M. P. Solon, and M. Zeng, “Scattering Amplitudes and Conservative Binary Dynamics at 𝒪 ⁡ ( G 4 ) {\cal O}(G^{4}) ,” Phys. Rev. Lett
Original
2021
Later among the works it cites.
E. Herrmann, J. Parra-Martinez, M. S. Ruf, and M. Zeng, “Radiative classical gravitational observables at 𝒪 \mathcal{O} (G 3
Original
2021
Later among the works it cites.
P. Di Vecchia, C. Heissenberg, R. Russo, and G. Veneziano, “The eikonal approach to gravitational scattering and radiation at 𝒪 \mathcal{O} (G 3
Original
2021
Later among the works it cites.

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2023

Effective Field Theory for Extreme Mass Ratios

Cheung, Clifford, Parra-Martinez, Julio, Rothstein, Ira Z. et al.

Understand

We derive an effective field theory describing a pair of gravitationally interacting point particles in an expansion in their mass ratio, also known as the self-force (SF) expansion.

The 0SF dynamics are trivially obtained to all orders in Newton's constant by the geodesic motion of the light body in a Schwarzschild background encoding the gravitational field of the heavy body.
The corrections at 1SF and higher are generated by perturbations about this configuration -- that is, the geodesic deviation of the light body and the fluctuation graviton -- but crucially supplemented by an operator describing the recoil of the heavy body as it interacts with the smaller companion.
Using this formalism we compute new results at third post-Minkowskian order for the conservative dynamics of a system of gravitationally interacting massive particles coupled to a set of additional scalar and vector fields.

Built on

Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon, and M. Zeng, “Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order,” Phys. Rev. Lett
Original
1901
Earlier work this paper cites.
A. Antonelli, A. Buonanno, J. Steinhoff, M. van de Meent, and J. Vines, “Energetics of two-body Hamiltonians in post-Minkowskian gravity,” Phys. Rev. D
Original
1901
Earlier work this paper cites.
C. P. L. Berry, S. A. Hughes, C. F. Sopuerta, A. J. K. Chua, A. Heffernan, K. Holley-Bockelmann, D. P. Mihaylov, M. C. Miller, and A. Sesana, “The unique potential of extreme mass-ratio inspirals for gravitational-wave astronomy,” arXiv:1903.03686 [astro-ph.HE]
Original
1903
Earlier work this paper cites.
D. Bini, T. Damour, and A. Geralico, “Novel approach to binary dynamics: application to the fifth post-Newtonian level,” Phys. Rev. Lett
Original
1909
Earlier work this paper cites.
G. Kälin and R. A. Porto, “From Boundary Data to Bound States,” JHEP
Original
1910
Earlier work this paper cites.
G. Kälin and R. A. Porto, “From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist),” JHEP
Original
1911
Earlier work this paper cites.
T. Damour, “Classical and quantum scattering in post-Minkowskian gravity,” Phys. Rev. D
Original
1912
Earlier work this paper cites.
B. Bertotti and J. Plebanski, “Theory of gravitational perturbations in the fast motion approximation,” Annals of Physics
1960
Earlier work this paper cites.
F. J. Zerilli, “Gravitational field of a particle falling in a schwarzschild geometry analyzed in tensor harmonics,” Phys. Rev. D
1970
Earlier work this paper cites.
M. J. Duff, “Quantum Tree Graphs and the Schwarzschild Solution,” Phys. Rev. D
1973
Earlier work this paper cites.
K. Westpfahl and M. Goller, “Gravitational scattering of two relativistic particles in post-linear approximation,” Lett. Nuovo Cimento
1979
Earlier work this paper cites.
K. G. Chetyrkin and F. V. Tkachov, “Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops,” Nucl. Phys. B
1981
Earlier work this paper cites.
K. Westpfahl, “High-speed scattering of charged and uncharged particles in general relativity,” Fortschritte der Physik/Progress of Physics
1985
Earlier work this paper cites.
T. Damour and G. Esposito-Farese, “Testing gravity to second postNewtonian order: A Field theory approach,” Phys. Rev. D
1996
Earlier work this paper cites.
Oxford university press, 1998
S. Chandrasekhar, The mathematical theory of black holes · 1998
Earlier work this paper cites.
A. Buonanno and T. Damour, “Effective one-body approach to general relativistic two-body dynamics,” Phys. Rev. D
1999
Earlier work this paper cites.
L. M. Burko, “Self-force on a particle in orbit around a black hole,” Phys. Rev. Lett
2000
Earlier work this paper cites.
M. J. Pfenning and E. Poisson, “Scalar, electromagnetic, and gravitational selfforces in weakly curved space-times,” Phys. Rev. D
2002
Earlier work this paper cites.
D. Bini, T. Damour, and A. Geralico, “Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders,” Phys. Rev. D
Original
2003
Earlier work this paper cites.
S. Detweiler and E. Poisson, “Low multipole contributions to the gravitational self-force,” Physical Review D
2004
Earlier work this paper cites.
F. Pretorius, “Evolution of binary black hole spacetimes,” Phys. Rev. Lett
2005
Earlier work this paper cites.
J. Parra-Martinez, M. S. Ruf, and M. Zeng, “Extremal black hole scattering at 𝒪 ⁡ ( G 3 ) \mathcal{O}(G^{3}) : graviton dominance, eikonal exponentiation, and differential equations,” JHEP
Original
2005
Earlier work this paper cites.
W. D. Goldberger and I. Z. Rothstein, “Effective field theory of gravity for extended objects,” Physical Review D
2006
Earlier work this paper cites.
G. Kälin and R. A. Porto, “Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics,” JHEP
Original
2006
Earlier work this paper cites.

Similar

S. L. Detweiler, “A Consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry,” Phys. Rev. D
Original
2008
Cited alongside, same era.
C. R. Galley and B. L. Hu, “Self-force on extreme mass ratio inspirals via curved spacetime effective field theory,” Physical Review D
2009
Cited alongside, same era.
G. Mogull, J. Plefka, and J. Steinhoff, “Classical black hole scattering from a worldline quantum field theory,” JHEP
Original
2010
Cited alongside, same era.
L. Barack, T. Damour, and N. Sago, “Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism,” Phys. Rev. D
Original
2010
Cited alongside, same era.
S. Mougiakakos and P. Vanhove, “Schwarzschild-Tangherlini metric from scattering amplitudes in various dimensions,” Phys. Rev. D

Then

A. Pound, B. Wardell, N. Warburton, and J. Miller, “Second-order self-force calculation of gravitational binding energy in compact binaries,” Physical Review Letters
2020
Later among the works it cites.
Z. Bern, J. Parra-Martinez, R. Roiban, M. S. Ruf, C.-H. Shen, M. P. Solon, and M. Zeng, “Scattering Amplitudes and Conservative Binary Dynamics at 𝒪 ⁡ ( G 4 ) {\cal O}(G^{4}) ,” Phys. Rev. Lett
Original
2021
Later among the works it cites.
E. Herrmann, J. Parra-Martinez, M. S. Ruf, and M. Zeng, “Radiative classical gravitational observables at 𝒪 \mathcal{O} (G 3
Original
2021
Later among the works it cites.
P. Di Vecchia, C. Heissenberg, R. Russo, and G. Veneziano, “The eikonal approach to gravitational scattering and radiation at 𝒪 \mathcal{O} (G 3
Original
2021
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…

Original

2010

Cited alongside, same era.

E. Poisson, A. Pound, and I. Vega, “The motion of point particles in curved spacetime,” Living Reviews in Relativity

2011

Cited alongside, same era.

L. Barack and N. Sago, “Beyond the geodesic approximation: conservative effects of the gravitational self-force in eccentric orbits around a Schwarzschild black hole,” Phys. Rev. D

Original

2011

Cited alongside, same era.

J. M. Henn, “Multiloop integrals in dimensional regularization made simple,” Phys. Rev. Lett

Original

2013

Cited alongside, same era.

D. Neill and I. Z. Rothstein, “Classical Space-Times from the S Matrix,” Nucl. Phys. B

Original

2013

Cited alongside, same era.

D. Bini and T. Damour, “Analytical determination of the two-body gravitational interaction potential at the fourth post-Newtonian approximation,” Phys. Rev. D

Original

2013

Cited alongside, same era.

L. Lehner and F. Pretorius, “Numerical relativity and astrophysics,” Annual Review of Astronomy and Astrophysics

2014

Cited alongside, same era.

L. Blanchet, “Gravitational radiation from post-newtonian sources and inspiralling compact binaries,” Living Reviews in Relativity

2014

Cited alongside, same era.

E. Herrmann, J. Parra-Martinez, M. S. Ruf, and M. Zeng, “Gravitational Bremsstrahlung from Reverse Unitarity,” Phys. Rev. Lett

Original

2021