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 , 1901.04424
Original
1901
Earlier work this paper cites.
A. Guevara, A. Ochirov and J. Vines, Black-hole scattering with general spin directions from minimal-coupling amplitudes , 1906.10071
Original
1906
Earlier work this paper cites.
A. Cristofoli, N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, On Post-Minkowskian Hamiltonians in General Relativity , 1906.01579
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, Observables and amplitudes for spinning particles and black holes , 1906.09260
Original
1906
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Black Hole Binary Dynamics from the Double Copy and Effective Theory , 1908.01493
Original
1908
Earlier work this paper cites.
M.-Z. Chung, Y.-t. Huang and J.-W. Kim, From quantized spins to rotating black holes , 1908.08463
Original
1908
Earlier work this paper cites.
G. Kälin and R. A. Porto, From Boundary Data to Bound States , 1910.03008
Original
1910
Earlier work this paper cites.
H. Georgi, An Effective Field Theory for Heavy Quarks at Low-energies , Phys. Lett. B240
1990
Earlier work this paper cites.
M. E. Luke and A. V. Manohar, Reparametrization invariance constraints on heavy particle effective field theories , Phys. Lett. B286
1992
Earlier work this paper cites.
Y.-Q. Chen, On the reparameterization invariance in heavy quark effective theory , Physics Letters B 317
1993
Earlier work this paper cites.
J. F. Donoghue, Leading quantum correction to the Newtonian potential , Phys. Rev. Lett. 72
1994
Earlier work this paper cites.
J. F. Donoghue, General relativity as an effective field theory: The leading quantum corrections , Phys. Rev. D50
1994
Earlier work this paper cites.
G. T. Bodwin, E. Braaten and G. P. Lepage, Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium , Phys. Rev. D51
1995
Earlier work this paper cites.
M. Neubert, Heavy quark effective theory , Subnucl. Ser. 34
1997
Earlier work this paper cites.

Similar

A. V. Manohar, The HQET / NRQCD Lagrangian to order alpha / m − 3 m^{-3} , Phys. Rev. D56
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Then

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Later among the works it cites.
B. P. Abbott et al., LIGO Scientific Collaboration and Virgo Collaboration, Observation of gravitational waves from a binary black hole merger , Phys. Rev. Lett. 116
2016
Later among the works it cites.
T. Damour, Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory , Phys. Rev. D94
Original
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Later among the works it cites.
R. A. Porto, The effective field theorist’s approach to gravitational dynamics , Phys. Rept. 633
Original
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Later among the works it cites.
T. Damour, High-energy gravitational scattering and the general relativistic two-body problem , Phys. Rev. D97

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2019

Heavy Black Hole Effective Theory

Damgaard, Poul H., Haddad, Kays, Helset, Andreas

Understand

We formulate an effective field theory describing large mass scalars and fermions minimally coupled to gravity.

The operators of this effective field theory are organized in powers of the transfer momentum divided by the mass of the matter field, an expansion which lends itself to the efficient extraction of classical contributions from loop amplitudes in both the post-Newtonian and post-Minkowskian regimes.
We use this effective field theory to calculate the classical and leading quantum gravitational scattering amplitude of two heavy spin-1/2 particles at the second post-Minkowskian order.

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 , 1901.04424
Original
1901
Earlier work this paper cites.
A. Guevara, A. Ochirov and J. Vines, Black-hole scattering with general spin directions from minimal-coupling amplitudes , 1906.10071
Original
1906
Earlier work this paper cites.
A. Cristofoli, N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, On Post-Minkowskian Hamiltonians in General Relativity , 1906.01579
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, Observables and amplitudes for spinning particles and black holes , 1906.09260
Original
1906
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Black Hole Binary Dynamics from the Double Copy and Effective Theory , 1908.01493
Original
1908
Earlier work this paper cites.
M.-Z. Chung, Y.-t. Huang and J.-W. Kim, From quantized spins to rotating black holes , 1908.08463
Original
1908
Earlier work this paper cites.
G. Kälin and R. A. Porto, From Boundary Data to Bound States , 1910.03008
Original
1910
Earlier work this paper cites.
H. Georgi, An Effective Field Theory for Heavy Quarks at Low-energies , Phys. Lett. B240
1990
Earlier work this paper cites.
M. E. Luke and A. V. Manohar, Reparametrization invariance constraints on heavy particle effective field theories , Phys. Lett. B286
1992
Earlier work this paper cites.
Y.-Q. Chen, On the reparameterization invariance in heavy quark effective theory , Physics Letters B 317
1993
Earlier work this paper cites.
J. F. Donoghue, Leading quantum correction to the Newtonian potential , Phys. Rev. Lett. 72
1994
Earlier work this paper cites.
J. F. Donoghue, General relativity as an effective field theory: The leading quantum corrections , Phys. Rev. D50
1994
Earlier work this paper cites.
G. T. Bodwin, E. Braaten and G. P. Lepage, Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium , Phys. Rev. D51
1995
Earlier work this paper cites.
M. Neubert, Heavy quark effective theory , Subnucl. Ser. 34
1997
Earlier work this paper cites.

Similar

A. V. Manohar, The HQET / NRQCD Lagrangian to order alpha / m − 3 m^{-3} , Phys. Rev. D56
1997
Cited alongside, same era.
M. Finkemeier, H. Georgi and M. McIrvin, Reparametrization invariance revisited , Phys. Rev. D55
1997
Cited alongside, same era.
A. Buonanno and T. Damour, Effective one-body approach to general relativistic two-body dynamics , Phys. Rev. D59
1999
Cited alongside, same era.
A. V. Manohar and M. B. Wise, Heavy quark physics , Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol. 10
2000
Cited alongside, same era.
N. E. J. Bjerrum-Bohr, J. F. Donoghue and B. R. Holstein, Quantum gravitational corrections to the nonrelativistic scattering potential of two masses , Phys. Rev. D67
2003
Cited alongside, same era.

Then

A. H. Guth, M. P. Hertzberg and C. Prescod-Weinstein, Do Dark Matter Axions Form a Condensate with Long-Range Correlation? , Phys. Rev. D92
Original
2015
Later among the works it cites.
B. P. Abbott et al., LIGO Scientific Collaboration and Virgo Collaboration, Observation of gravitational waves from a binary black hole merger , Phys. Rev. Lett. 116
2016
Later among the works it cites.
T. Damour, Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory , Phys. Rev. D94
Original
2016
Later among the works it cites.
R. A. Porto, The effective field theorist’s approach to gravitational dynamics , Phys. Rept. 633
Original
2016
Later among the works it cites.
T. Damour, High-energy gravitational scattering and the general relativistic two-body problem , Phys. Rev. D97

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

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B. R. Holstein and J. F. Donoghue, Classical physics and quantum loops , Phys. Rev. Lett. 93

2004

Cited alongside, same era.

F. Pretorius, Evolution of binary black hole spacetimes , Phys. Rev. Lett. 95

2005

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J. G. Baker, J. Centrella, D.-I. Choi, M. Koppitz and J. van Meter, Gravitational wave extraction from an inspiraling configuration of merging black holes , Phys. Rev. Lett. 96

2006

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

2006

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W. D. Goldberger and I. Z. Rothstein, An Effective field theory of gravity for extended objects , Phys. Rev. D73

2006

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R. A. Porto, Post-Newtonian corrections to the motion of spinning bodies in NRGR , Phys. Rev. D73

2006

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D. Neill and I. Z. Rothstein, Classical Space-Times from the S Matrix , Nucl. Phys. B877

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