Built on

Zvi Bern, Clifford Cheung, Radu Roiban, Chia-Hsien Shen, Mikhail P. Solon, and Mao Zeng, “Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order,” Phys. Rev. Lett. 122
Original
1901
Earlier work this paper cites.
Arnau Koemans Collado, Paolo Di Vecchia, and Rodolfo Russo, “Revisiting the second post-Minkowskian eikonal and the dynamics of binary black holes,” Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
Andreas Brandhuber and Gabriele Travaglini, “On higher-derivative effects on the gravitational potential and particle bending,” JHEP 01
Original
1905
Earlier work this paper cites.
William T. Emond and Nathan Moynihan, “Scattering Amplitudes, Black Holes and Leading Singularities in Cubic Theories of Gravity,” JHEP 12
Original
1905
Earlier work this paper cites.
Adrien Kuntz, “Two-body potential of Vainshtein screened theories,” Phys. Rev. D 100
Original
1905
Earlier work this paper cites.
Andrea Cristofoli, N.E.J. Bjerrum-Bohr, Poul H. Damgaard, and Pierre Vanhove, “Post-Minkowskian Hamiltonians in general relativity,” Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
Ben Maybee, Donal O’Connell, and Justin Vines, “Observables and amplitudes for spinning particles and black holes,” JHEP 12
Original
1906
Earlier work this paper cites.
Zvi Bern, Clifford Cheung, Radu Roiban, Chia-Hsien Shen, Mikhail P. Solon, and Mao Zeng, “Black Hole Binary Dynamics from the Double Copy and Effective Theory,” JHEP 10
Original
1908
Earlier work this paper cites.
Poul H. Damgaard, Kays Haddad, and Andreas Helset, “Heavy Black Hole Effective Theory,” JHEP 11
Original
1908
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, Andrea Cristofoli, and Poul H. Damgaard, “Post-Minkowskian Scattering Angle in Einstein Gravity,” JHEP 08
Original
1910
Earlier work this paper cites.
Gregor Kälin and Rafael A. Porto, “From Boundary Data to Bound States,” JHEP 01
Original
1910
Earlier work this paper cites.
Gregor Kälin and Rafael A. Porto, “From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist),” JHEP 02
Original
1911
Earlier work this paper cites.
Manuel Accettulli Huber, Andreas Brandhuber, Stefano De Angelis, and Gabriele Travaglini, “Note on the absence of R 2 R^{2} corrections to Newton’s potential,” Phys. Rev. D 101
Original
1911
Earlier work this paper cites.
A. Paliov and S. Rosendorff, “High‐energy phase shifts produced by repulsive singular potentials,” Journal of Mathematical Physics 8
1967
Earlier work this paper cites.
Y. Iwasaki, “Quantum theory of gravitation vs. classical theory. - fourth-order potential,” Prog. Theor. Phys. 46
1971
Earlier work this paper cites.
A. I. Vainshtein, “To the problem of nonvanishing gravitation mass,” Phys. Lett. 39B
1972
Earlier work this paper cites.
S. J. Wallace, “Eikonal expansion,” Annals Phys. 78
1973
Earlier work this paper cites.
G. Passarino and M. J. G. Veltman, “One Loop Corrections for e+ e- Annihilation Into mu+ mu- in the Weinberg Model,” Nucl. Phys. B 160
1979
Earlier work this paper cites.
David Bohm, Quantum Theory (Dover Publications, 1989)
1989
Earlier work this paper cites.
Yasushi Mino, Misao Sasaki, and Takahiro Tanaka, “Gravitational radiation reaction to a particle motion,” Phys. Rev. D 55
1997
Earlier work this paper cites.
Theodore C. Quinn and Robert M. Wald, “An Axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved space-time,” Phys. Rev. D 56
1997
Earlier work this paper cites.
M. Beneke and Vladimir A. Smirnov, “Asymptotic expansion of Feynman integrals near threshold,” Nucl. Phys. B 522
1998
Earlier work this paper cites.
A. Buonanno and T. Damour, “Effective one-body approach to general relativistic two-body dynamics,” Phys. Rev. D 59
1999
Earlier work this paper cites.
Alessandra Buonanno and Thibault Damour, “Transition from inspiral to plunge in binary black hole coalescences,” Phys. Rev. D 62
2000
Earlier work this paper cites.
G. R. Dvali, Gregory Gabadadze, and Massimo Porrati, “4-D gravity on a brane in 5-D Minkowski space,” Phys. Lett. B485
2000
Earlier work this paper cites.
Cedric Deffayet, G. R. Dvali, Gregory Gabadadze, and Arkady I. Vainshtein, “Nonperturbative continuity in graviton mass versus perturbative discontinuity,” Phys. Rev. D 65
2002
Earlier work this paper cites.
Philippe Brax, Lavinia Heisenberg, and Adrien Kuntz, “Unveiling the Galileon in a three-body system : scalar and gravitational wave production,” JCAP 05
Original
2002
Earlier work this paper cites.
Andrea Cristofoli, Poul H. Damgaard, Paolo Di Vecchia, and Carlo Heissenberg, “Second-order Post-Minkowskian scattering in arbitrary dimensions,” JHEP 07
Original
2003
Earlier work this paper cites.
Clifford Cheung and Mikhail P. Solon, “Classical gravitational scattering at 𝒪 \mathcal{O} (G 3
Original
2003
Earlier work this paper cites.
Claudia de Rham and Victor Pozsgay, “New class of Proca interactions,” Phys. Rev. D 102
Original
2003
Earlier work this paper cites.
B. Bertotti, L. Iess, and P. Tortora, “A test of general relativity using radio links with the Cassini spacecraft,” Nature 425
2003
Earlier work this paper cites.
Markus A. Luty, Massimo Porrati, and Riccardo Rattazzi, “Strong interactions and stability in the DGP model,” JHEP 09
2003
Earlier work this paper cites.
Gia Dvali, Andrei Gruzinov, and Matias Zaldarriaga, “The Accelerated universe and the moon,” Phys. Rev. D 68
2003
Earlier work this paper cites.

Similar

Alberto Nicolis and Riccardo Rattazzi, “Classical and quantum consistency of the DGP model,” JHEP 06
2004
Cited alongside, same era.
Vladimir A. Smirnov, “Evaluating Feynman integrals,” Springer Tracts Mod. Phys. 211
2004
Cited alongside, same era.
Frans Pretorius, “Evolution of binary black hole spacetimes,” Phys. Rev. Lett. 95
2005
Cited alongside, same era.
Julio Parra-Martinez, Michael S. Ruf, and Mao Zeng, “Extremal black hole scattering at 𝒪 ⁡ ( G 3 ) \mathcal{O}(G^{3}) : graviton dominance, eikonal exponentiation, and differential equations,” JHEP 11
Original
2005
Cited alongside, same era.
Zvi Bern, Andres Luna, Radu Roiban, Chia-Hsien Shen, and Mao Zeng, “Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory,” (2020), arXiv:2005.03071 [hep-th]
Original
2005
Cited alongside, same era.

Then

B.P. Abbott et al. (LIGO Scientific, Virgo), “Observation of Gravitational Waves from a Binary Black Hole Merger,” Phys. Rev. Lett. 116
Original
2016
Later among the works it cites.
Rafael A. Porto, “The effective field theorist’s approach to gravitational dynamics,” Phys. Rept. 633
Original
2016
Later among the works it cites.
Matthew Hull, Kazuya Koyama, and Gianmassimo Tasinato, “Covariantized vector Galileons,” Phys. Rev. D93
Original
2016
Later among the works it cites.
Lavinia Heisenberg, Ryotaro Kase, and Shinji Tsujikawa, “Beyond generalized Proca theories,” Phys. Lett. B760
Original
2016
Later among the works it cites.
Jose Beltran Jimenez and Lavinia Heisenberg, “Derivative self-interactions for a massive vector field,” Phys. Lett. B757

Beyond the bibliography

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

Open on alphaXiv

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Reading the bibliography…

2021

Scattering Amplitudes for Binary Systems beyond GR

Carrillo-González, Mariana, de Rham, Claudia, Tolley, Andrew J.

Understand

Amplitude methods have proven to be a promising technique to perform Post-Minkowskian calculations used as inputs to construct gravitational waveforms.

In this paper, we show how these methods can be extended beyond the standard calculations in General Relativity with a minimal coupling to matter.
As proof of principle, we consider spinless particles conformally coupled to a gravitational helicity-0 mode.
We clarify the subtleties in the matching procedure that lead to the potential for conformally coupled matter.

Built on

Zvi Bern, Clifford Cheung, Radu Roiban, Chia-Hsien Shen, Mikhail P. Solon, and Mao Zeng, “Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order,” Phys. Rev. Lett. 122
Original
1901
Earlier work this paper cites.
Arnau Koemans Collado, Paolo Di Vecchia, and Rodolfo Russo, “Revisiting the second post-Minkowskian eikonal and the dynamics of binary black holes,” Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
Andreas Brandhuber and Gabriele Travaglini, “On higher-derivative effects on the gravitational potential and particle bending,” JHEP 01
Original
1905
Earlier work this paper cites.
William T. Emond and Nathan Moynihan, “Scattering Amplitudes, Black Holes and Leading Singularities in Cubic Theories of Gravity,” JHEP 12
Original
1905
Earlier work this paper cites.
Adrien Kuntz, “Two-body potential of Vainshtein screened theories,” Phys. Rev. D 100
Original
1905
Earlier work this paper cites.
Andrea Cristofoli, N.E.J. Bjerrum-Bohr, Poul H. Damgaard, and Pierre Vanhove, “Post-Minkowskian Hamiltonians in general relativity,” Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
Ben Maybee, Donal O’Connell, and Justin Vines, “Observables and amplitudes for spinning particles and black holes,” JHEP 12
Original
1906
Earlier work this paper cites.
Zvi Bern, Clifford Cheung, Radu Roiban, Chia-Hsien Shen, Mikhail P. Solon, and Mao Zeng, “Black Hole Binary Dynamics from the Double Copy and Effective Theory,” JHEP 10
Original
1908
Earlier work this paper cites.
Poul H. Damgaard, Kays Haddad, and Andreas Helset, “Heavy Black Hole Effective Theory,” JHEP 11
Original
1908
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, Andrea Cristofoli, and Poul H. Damgaard, “Post-Minkowskian Scattering Angle in Einstein Gravity,” JHEP 08
Original
1910
Earlier work this paper cites.
Gregor Kälin and Rafael A. Porto, “From Boundary Data to Bound States,” JHEP 01
Original
1910
Earlier work this paper cites.
Gregor Kälin and Rafael A. Porto, “From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist),” JHEP 02
Original
1911
Earlier work this paper cites.
Manuel Accettulli Huber, Andreas Brandhuber, Stefano De Angelis, and Gabriele Travaglini, “Note on the absence of R 2 R^{2} corrections to Newton’s potential,” Phys. Rev. D 101
Original
1911
Earlier work this paper cites.
A. Paliov and S. Rosendorff, “High‐energy phase shifts produced by repulsive singular potentials,” Journal of Mathematical Physics 8
1967
Earlier work this paper cites.
Y. Iwasaki, “Quantum theory of gravitation vs. classical theory. - fourth-order potential,” Prog. Theor. Phys. 46
1971
Earlier work this paper cites.
A. I. Vainshtein, “To the problem of nonvanishing gravitation mass,” Phys. Lett. 39B
1972
Earlier work this paper cites.
S. J. Wallace, “Eikonal expansion,” Annals Phys. 78
1973
Earlier work this paper cites.
G. Passarino and M. J. G. Veltman, “One Loop Corrections for e+ e- Annihilation Into mu+ mu- in the Weinberg Model,” Nucl. Phys. B 160
1979
Earlier work this paper cites.
David Bohm, Quantum Theory (Dover Publications, 1989)
1989
Earlier work this paper cites.
Yasushi Mino, Misao Sasaki, and Takahiro Tanaka, “Gravitational radiation reaction to a particle motion,” Phys. Rev. D 55
1997
Earlier work this paper cites.
Theodore C. Quinn and Robert M. Wald, “An Axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved space-time,” Phys. Rev. D 56
1997
Earlier work this paper cites.
M. Beneke and Vladimir A. Smirnov, “Asymptotic expansion of Feynman integrals near threshold,” Nucl. Phys. B 522
1998
Earlier work this paper cites.
A. Buonanno and T. Damour, “Effective one-body approach to general relativistic two-body dynamics,” Phys. Rev. D 59
1999
Earlier work this paper cites.
Alessandra Buonanno and Thibault Damour, “Transition from inspiral to plunge in binary black hole coalescences,” Phys. Rev. D 62
2000
Earlier work this paper cites.
G. R. Dvali, Gregory Gabadadze, and Massimo Porrati, “4-D gravity on a brane in 5-D Minkowski space,” Phys. Lett. B485
2000
Earlier work this paper cites.
Cedric Deffayet, G. R. Dvali, Gregory Gabadadze, and Arkady I. Vainshtein, “Nonperturbative continuity in graviton mass versus perturbative discontinuity,” Phys. Rev. D 65
2002
Earlier work this paper cites.
Philippe Brax, Lavinia Heisenberg, and Adrien Kuntz, “Unveiling the Galileon in a three-body system : scalar and gravitational wave production,” JCAP 05
Original
2002
Earlier work this paper cites.
Andrea Cristofoli, Poul H. Damgaard, Paolo Di Vecchia, and Carlo Heissenberg, “Second-order Post-Minkowskian scattering in arbitrary dimensions,” JHEP 07
Original
2003
Earlier work this paper cites.
Clifford Cheung and Mikhail P. Solon, “Classical gravitational scattering at 𝒪 \mathcal{O} (G 3
Original
2003
Earlier work this paper cites.
Claudia de Rham and Victor Pozsgay, “New class of Proca interactions,” Phys. Rev. D 102
Original
2003
Earlier work this paper cites.
B. Bertotti, L. Iess, and P. Tortora, “A test of general relativity using radio links with the Cassini spacecraft,” Nature 425
2003
Earlier work this paper cites.
Markus A. Luty, Massimo Porrati, and Riccardo Rattazzi, “Strong interactions and stability in the DGP model,” JHEP 09
2003
Earlier work this paper cites.
Gia Dvali, Andrei Gruzinov, and Matias Zaldarriaga, “The Accelerated universe and the moon,” Phys. Rev. D 68
2003
Earlier work this paper cites.

Similar

Alberto Nicolis and Riccardo Rattazzi, “Classical and quantum consistency of the DGP model,” JHEP 06
2004
Cited alongside, same era.
Vladimir A. Smirnov, “Evaluating Feynman integrals,” Springer Tracts Mod. Phys. 211
2004
Cited alongside, same era.
Frans Pretorius, “Evolution of binary black hole spacetimes,” Phys. Rev. Lett. 95
2005
Cited alongside, same era.
Julio Parra-Martinez, Michael S. Ruf, and Mao Zeng, “Extremal black hole scattering at 𝒪 ⁡ ( G 3 ) \mathcal{O}(G^{3}) : graviton dominance, eikonal exponentiation, and differential equations,” JHEP 11
Original
2005
Cited alongside, same era.
Zvi Bern, Andres Luna, Radu Roiban, Chia-Hsien Shen, and Mao Zeng, “Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory,” (2020), arXiv:2005.03071 [hep-th]
Original
2005
Cited alongside, same era.

Then

B.P. Abbott et al. (LIGO Scientific, Virgo), “Observation of Gravitational Waves from a Binary Black Hole Merger,” Phys. Rev. Lett. 116
Original
2016
Later among the works it cites.
Rafael A. Porto, “The effective field theorist’s approach to gravitational dynamics,” Phys. Rept. 633
Original
2016
Later among the works it cites.
Matthew Hull, Kazuya Koyama, and Gianmassimo Tasinato, “Covariantized vector Galileons,” Phys. Rev. D93
Original
2016
Later among the works it cites.
Lavinia Heisenberg, Ryotaro Kase, and Shinji Tsujikawa, “Beyond generalized Proca theories,” Phys. Lett. B760
Original
2016
Later among the works it cites.
Jose Beltran Jimenez and Lavinia Heisenberg, “Derivative self-interactions for a massive vector field,” Phys. Lett. B757

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Manuela Campanelli, C. O. Lousto, P. Marronetti, and Y. Zlochower, “Accurate evolutions of orbiting black-hole binaries without excision,” Phys. Rev. Lett. 96

2006

Cited alongside, same era.

John G. Baker, Joan Centrella, Dae-Il Choi, Michael Koppitz, and James van Meter, “Gravitational wave extraction from an inspiraling configuration of merging black holes,” Phys. Rev. Lett. 96

2006

Cited alongside, same era.

Manuel Accettulli Huber, Andreas Brandhuber, Stefano De Angelis, and Gabriele Travaglini, “Eikonal phase matrix, deflection angle and time delay in effective field theories of gravity,” Phys. Rev. D 102