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. 122
Original
1901
Earlier work this paper cites.
A. V. Smirnov and F. S. Chuharev, FIRE6: Feynman Integral REduction with Modular Arithmetic , Comput. Phys. Commun. 247
Original
1901
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems , 1903.12419
Original
1903
Earlier work this paper cites.
A. Koemans Collado, P. Di Vecchia and R. 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.
B. Maybee, D. O’Connell and J. Vines, Observables and amplitudes for spinning particles and black holes , JHEP 12
Original
1906
Earlier work this paper cites.
A. Guevara, A. Ochirov and J. Vines, Black-hole scattering with general spin directions from minimal-coupling amplitudes , Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang and D. O’Connell, Kerr black holes as elementary particles , JHEP 01
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 , JHEP 10
Original
1908
Earlier work this paper cites.
P. Di Vecchia, A. Luna, S. G. Naculich, R. Russo, G. Veneziano and C. D. White, A tale of two exponentiations in 𝒩 = 8 {\cal N}=8 supergravity , Phys. Lett. B798
Original
1908
Earlier work this paper cites.
P. H. Damgaard, K. Haddad and A. Helset, Heavy Black Hole Effective Theory , JHEP 11
Original
1908
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.
Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson and R. Roiban, The Duality Between Color and Kinematics and its Applications , 1909.01358
Original
1909
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, A. Cristofoli and P. H. Damgaard, Post-Minkowskian Scattering Angle in Einstein Gravity , JHEP 08
Original
1910
Earlier work this paper cites.
Kälin, Gregor and Porto, Rafael A., From Boundary Data to Bound States , JHEP 01
Original
1910
Earlier work this paper cites.
Kälin, Gregor and Porto, Rafael A., From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist) , JHEP 02
Original
1911
Earlier work this paper cites.
P. Di Vecchia, S. G. Naculich, R. Russo, G. Veneziano and C. D. White, A tale of two exponentiations in 𝒩 \mathcal{N} = 8 supergravity at subleading level , JHEP 03
Original
1911
Earlier work this paper cites.
T. Damour, Classical and quantum scattering in post-Minkowskian gravity , Phys. Rev. D102
Original
1912
Earlier work this paper cites.
J. P. Edwards and C. Schubert, Quantum mechanical path integrals in the first quantised approach to quantum field theory , 12, 2019, 1912.10004
Original
1912
Earlier work this paper cites.
K. S. Thorne and S. J. Kovacs, The generation of gravitational waves. I. Weak-field sources. , Astrophys. J. 200
1975
Earlier work this paper cites.
L. Brink, S. Deser, B. Zumino, P. Di Vecchia and P. S. Howe, Local Supersymmetry for Spinning Particles , Phys. Lett. B 64
1976
Earlier work this paper cites.
R. J. Crowley and K. S. Thorne, The generation of gravitational waves. II. The postlinear formation revisited. , Astrophys. J. 215
1977
Earlier work this paper cites.
S. Kovacs and K. Thorne, The Generation of Gravitational Waves. 3. Derivation of Bremsstrahlung Formulas , Astrophys. J. 217
1977
Earlier work this paper cites.
S. Kovacs and K. Thorne, The Generation of Gravitational Waves. 4. Bremsstrahlung , Astrophys. J. 224
1978
Earlier work this paper cites.
L. Bel, T. Damour, N. Deruelle, J. Ibanez and J. Martin, Poincaré-invariant gravitational field and equations of motion of two pointlike objects: The postlinear approximation of general relativity , Gen. Rel. Grav. 13
1981
Earlier work this paper cites.
K. Westpfahl, High-Speed Scattering of Charged and Uncharged Particles in General Relativity , Fortsch. Phys. 33
1985
Earlier work this paper cites.
P. S. Howe, S. Penati, M. Pernici and P. K. Townsend, Wave Equations for Arbitrary Spin From Quantization of the Extended Supersymmetric Spinning Particle , Phys. Lett. B 215
1988
Earlier work this paper cites.
P. S. Howe, S. Penati, M. Pernici and P. K. Townsend, A Particle Mechanics Description of Antisymmetric Tensor Fields , Class. Quant. Grav. 6
1989
Earlier work this paper cites.
D. Amati, M. Ciafaloni and G. Veneziano, Higher Order Gravitational Deflection and Soft Bremsstrahlung in Planckian Energy Superstring Collisions , Nucl. Phys. B347
1990
Earlier work this paper cites.
G. W. Gibbons, R. H. Rietdijk and J. W. van Holten, SUSY in the sky , Nucl. Phys. B 404
1993
Earlier work this paper cites.
F. Bastianelli and P. van Nieuwenhuizen, Trace anomalies from quantum mechanics , Nucl. Phys. B 389
1993
Earlier work this paper cites.
L. J. Dixon, Calculating scattering amplitudes efficiently , in Theoretical Advanced Study Institute in Elementary Particle Physics (TASI 95): QCD and Beyond , 1, 1996, hep-ph/9601359
1996
Earlier work this paper cites.
F. Bastianelli, O. Corradini and P. van Nieuwenhuizen, Dimensional regularization of the path integral in curved space on an infinite time interval , Phys. Lett. B 490
2000
Earlier work this paper cites.
R. Aoude, K. Haddad and A. Helset, On-shell heavy particle effective theories , JHEP 05
Original
2001
Earlier work this paper cites.
C. Schubert, Perturbative quantum field theory in the string inspired formalism , Phys. Rept. 355
2001
Earlier work this paper cites.
Z. Bern, H. Ita, J. Parra-Martinez and M. S. Ruf, Universality in the classical limit of massless gravitational scattering , Phys. Rev. Lett. 125
Original
2002
Earlier work this paper cites.
Blümlein, J. and Maier, A. and Marquard, P. and Schäfer, G., Testing binary dynamics in gravity at the sixth post-Newtonian level , Phys. Lett. B807
Original
2003
Earlier work this paper cites.
C. Cheung and M. P. Solon, Classical gravitational scattering at 𝒪 \mathcal{O} (G 3
Original
2003
Earlier work this paper cites.
F. Bastianelli, O. Corradini and A. Zirotti, dimensional regularization for N=1 supersymmetric sigma models and the worldline formalism , Phys. Rev. D 67
2003
Earlier work this paper cites.
A. Cristofoli, P. H. Damgaard, P. Di Vecchia and C. Heissenberg, Second-order Post-Minkowskian scattering in arbitrary dimensions , JHEP 07
Original
2003
Earlier work this paper cites.

Similar

D. Bini, T. Damour and A. Geralico, Sixth post-Newtonian local-in-time dynamics of binary systems , Phys. Rev. D102
Original
2004
Cited alongside, same era.
N. Ahmadiniaz, V. M. Banda Guzmán, F. Bastianelli, O. Corradini, J. P. Edwards and C. Schubert, Worldline master formulas for the dressed electron propagator. Part I. Off-shell amplitudes , JHEP 08
Original
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 , Phys. Rev. D 104
Original
2005
Cited alongside, same era.
F. Bastianelli, P. Benincasa and S. Giombi, Worldline approach to vector and antisymmetric tensor fields , JHEP 04
2005
Cited alongside, same era.
F. Bastianelli, P. Benincasa and S. Giombi, Worldline approach to vector and antisymmetric tensor fields. II. , JHEP 10

Then

W. D. Goldberger and A. K. Ridgway, Radiation and the classical double copy for color charges , Phys. Rev. D95
Original
2017
Later among the works it cites.
N. T. Maia, C. R. Galley, A. K. Leibovich and R. A. Porto, Radiation reaction for spinning bodies in effective field theory I: Spin-orbit effects , Phys. Rev. D96
Original
2017
Later among the works it cites.
N. T. Maia, C. R. Galley, A. K. Leibovich and R. A. Porto, Radiation reaction for spinning bodies in effective field theory II: Spin-spin effects , Phys. Rev. D96
Original
2017
Later among the works it cites.
D. Bini and T. Damour, Gravitational spin-orbit coupling in binary systems, post-Minkowskian approximation and effective one-body theory , Phys. Rev. D96
Original
2017
Later among the works it cites.

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2021

SUSY in the Sky with Gravitons

Jakobsen, Gustav Uhre, Mogull, Gustav, Plefka, Jan et al.

Understand

Picture yourself in the wave zone of a gravitational scattering event of two massive, spinning compact bodies (black holes, neutron stars or stars).

We show that this system of genuine astrophysical interest enjoys a hidden $\mathcal{N}=2$ supersymmetry, at least to the order of spin-squared (quadrupole) interactions in arbitrary $D$ spacetime dimensions.
Using the ${\mathcal N}=2$ supersymmetric worldline action, augmented by finite-size corrections for the non-Kerr black hole case, we build a quadratic-in-spin extension to the worldline quantum field theory (WQFT) formalism introduced in our previous work, and calculate the two bodies' deflection and spin kick to sub-leading order in the post-Minkowskian expansion in Newton's constant $G$.
For spins aligned to the normal vector of the scattering plane we also obtain the scattering angle.

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. 122
Original
1901
Earlier work this paper cites.
A. V. Smirnov and F. S. Chuharev, FIRE6: Feynman Integral REduction with Modular Arithmetic , Comput. Phys. Commun. 247
Original
1901
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems , 1903.12419
Original
1903
Earlier work this paper cites.
A. Koemans Collado, P. Di Vecchia and R. 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.
B. Maybee, D. O’Connell and J. Vines, Observables and amplitudes for spinning particles and black holes , JHEP 12
Original
1906
Earlier work this paper cites.
A. Guevara, A. Ochirov and J. Vines, Black-hole scattering with general spin directions from minimal-coupling amplitudes , Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang and D. O’Connell, Kerr black holes as elementary particles , JHEP 01
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 , JHEP 10
Original
1908
Earlier work this paper cites.
P. Di Vecchia, A. Luna, S. G. Naculich, R. Russo, G. Veneziano and C. D. White, A tale of two exponentiations in 𝒩 = 8 {\cal N}=8 supergravity , Phys. Lett. B798
Original
1908
Earlier work this paper cites.
P. H. Damgaard, K. Haddad and A. Helset, Heavy Black Hole Effective Theory , JHEP 11
Original
1908
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.
Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson and R. Roiban, The Duality Between Color and Kinematics and its Applications , 1909.01358
Original
1909
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, A. Cristofoli and P. H. Damgaard, Post-Minkowskian Scattering Angle in Einstein Gravity , JHEP 08
Original
1910
Earlier work this paper cites.
Kälin, Gregor and Porto, Rafael A., From Boundary Data to Bound States , JHEP 01
Original
1910
Earlier work this paper cites.
Kälin, Gregor and Porto, Rafael A., From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist) , JHEP 02
Original
1911
Earlier work this paper cites.
P. Di Vecchia, S. G. Naculich, R. Russo, G. Veneziano and C. D. White, A tale of two exponentiations in 𝒩 \mathcal{N} = 8 supergravity at subleading level , JHEP 03
Original
1911
Earlier work this paper cites.
T. Damour, Classical and quantum scattering in post-Minkowskian gravity , Phys. Rev. D102
Original
1912
Earlier work this paper cites.
J. P. Edwards and C. Schubert, Quantum mechanical path integrals in the first quantised approach to quantum field theory , 12, 2019, 1912.10004
Original
1912
Earlier work this paper cites.
K. S. Thorne and S. J. Kovacs, The generation of gravitational waves. I. Weak-field sources. , Astrophys. J. 200
1975
Earlier work this paper cites.
L. Brink, S. Deser, B. Zumino, P. Di Vecchia and P. S. Howe, Local Supersymmetry for Spinning Particles , Phys. Lett. B 64
1976
Earlier work this paper cites.
R. J. Crowley and K. S. Thorne, The generation of gravitational waves. II. The postlinear formation revisited. , Astrophys. J. 215
1977
Earlier work this paper cites.
S. Kovacs and K. Thorne, The Generation of Gravitational Waves. 3. Derivation of Bremsstrahlung Formulas , Astrophys. J. 217
1977
Earlier work this paper cites.
S. Kovacs and K. Thorne, The Generation of Gravitational Waves. 4. Bremsstrahlung , Astrophys. J. 224
1978
Earlier work this paper cites.
L. Bel, T. Damour, N. Deruelle, J. Ibanez and J. Martin, Poincaré-invariant gravitational field and equations of motion of two pointlike objects: The postlinear approximation of general relativity , Gen. Rel. Grav. 13
1981
Earlier work this paper cites.
K. Westpfahl, High-Speed Scattering of Charged and Uncharged Particles in General Relativity , Fortsch. Phys. 33
1985
Earlier work this paper cites.
P. S. Howe, S. Penati, M. Pernici and P. K. Townsend, Wave Equations for Arbitrary Spin From Quantization of the Extended Supersymmetric Spinning Particle , Phys. Lett. B 215
1988
Earlier work this paper cites.
P. S. Howe, S. Penati, M. Pernici and P. K. Townsend, A Particle Mechanics Description of Antisymmetric Tensor Fields , Class. Quant. Grav. 6
1989
Earlier work this paper cites.
D. Amati, M. Ciafaloni and G. Veneziano, Higher Order Gravitational Deflection and Soft Bremsstrahlung in Planckian Energy Superstring Collisions , Nucl. Phys. B347
1990
Earlier work this paper cites.
G. W. Gibbons, R. H. Rietdijk and J. W. van Holten, SUSY in the sky , Nucl. Phys. B 404
1993
Earlier work this paper cites.
F. Bastianelli and P. van Nieuwenhuizen, Trace anomalies from quantum mechanics , Nucl. Phys. B 389
1993
Earlier work this paper cites.
L. J. Dixon, Calculating scattering amplitudes efficiently , in Theoretical Advanced Study Institute in Elementary Particle Physics (TASI 95): QCD and Beyond , 1, 1996, hep-ph/9601359
1996
Earlier work this paper cites.
F. Bastianelli, O. Corradini and P. van Nieuwenhuizen, Dimensional regularization of the path integral in curved space on an infinite time interval , Phys. Lett. B 490
2000
Earlier work this paper cites.
R. Aoude, K. Haddad and A. Helset, On-shell heavy particle effective theories , JHEP 05
Original
2001
Earlier work this paper cites.
C. Schubert, Perturbative quantum field theory in the string inspired formalism , Phys. Rept. 355
2001
Earlier work this paper cites.
Z. Bern, H. Ita, J. Parra-Martinez and M. S. Ruf, Universality in the classical limit of massless gravitational scattering , Phys. Rev. Lett. 125
Original
2002
Earlier work this paper cites.
Blümlein, J. and Maier, A. and Marquard, P. and Schäfer, G., Testing binary dynamics in gravity at the sixth post-Newtonian level , Phys. Lett. B807
Original
2003
Earlier work this paper cites.
C. Cheung and M. P. Solon, Classical gravitational scattering at 𝒪 \mathcal{O} (G 3
Original
2003
Earlier work this paper cites.
F. Bastianelli, O. Corradini and A. Zirotti, dimensional regularization for N=1 supersymmetric sigma models and the worldline formalism , Phys. Rev. D 67
2003
Earlier work this paper cites.
A. Cristofoli, P. H. Damgaard, P. Di Vecchia and C. Heissenberg, Second-order Post-Minkowskian scattering in arbitrary dimensions , JHEP 07
Original
2003
Earlier work this paper cites.

Similar

D. Bini, T. Damour and A. Geralico, Sixth post-Newtonian local-in-time dynamics of binary systems , Phys. Rev. D102
Original
2004
Cited alongside, same era.
N. Ahmadiniaz, V. M. Banda Guzmán, F. Bastianelli, O. Corradini, J. P. Edwards and C. Schubert, Worldline master formulas for the dressed electron propagator. Part I. Off-shell amplitudes , JHEP 08
Original
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 , Phys. Rev. D 104
Original
2005
Cited alongside, same era.
F. Bastianelli, P. Benincasa and S. Giombi, Worldline approach to vector and antisymmetric tensor fields , JHEP 04
2005
Cited alongside, same era.
F. Bastianelli, P. Benincasa and S. Giombi, Worldline approach to vector and antisymmetric tensor fields. II. , JHEP 10

Then

W. D. Goldberger and A. K. Ridgway, Radiation and the classical double copy for color charges , Phys. Rev. D95
Original
2017
Later among the works it cites.
N. T. Maia, C. R. Galley, A. K. Leibovich and R. A. Porto, Radiation reaction for spinning bodies in effective field theory I: Spin-orbit effects , Phys. Rev. D96
Original
2017
Later among the works it cites.
N. T. Maia, C. R. Galley, A. K. Leibovich and R. A. Porto, Radiation reaction for spinning bodies in effective field theory II: Spin-spin effects , Phys. Rev. D96
Original
2017
Later among the works it cites.
D. Bini and T. Damour, Gravitational spin-orbit coupling in binary systems, post-Minkowskian approximation and effective one-body theory , Phys. Rev. D96
Original
2017
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

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2005

Cited alongside, same era.

B. Kocsis, M. E. Gaspar and S. Marka, Detection rate estimates of gravity-waves emitted during parabolic encounters of stellar black holes in globular clusters , Astrophys. J. 648

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Cited alongside, same era.

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Original

2006

Cited alongside, same era.

C. Cheung and M. P. Solon, Tidal Effects in the Post-Minkowskian Expansion , Phys. Rev. Lett. 125

Original

2006

Cited alongside, same era.

D. Bini, T. Damour and A. Geralico, Sixth post-Newtonian nonlocal-in-time dynamics of binary systems , Phys. Rev. D102

Original

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Cited alongside, same era.

C. Cheung, I. Z. Rothstein and M. P. Solon, From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion , Phys. Rev. Lett. 121

Original

2018

Later among the works it cites.

T. Damour, High-energy gravitational scattering and the general relativistic two-body problem , Phys. Rev. D97

Original

2018

Later among the works it cites.

N. J. Bjerrum-Bohr, P. H. Damgaard, G. Festuccia, L. Planté and P. Vanhove, General Relativity from Scattering Amplitudes , Phys. Rev. Lett. 121

Original

2018

Later among the works it cites.

A. Luna, I. Nicholson, D. O’Connell and C. D. White, Inelastic Black Hole Scattering from Charged Scalar Amplitudes , JHEP 03