Built on

B. Bertotti, “On gravitational motion,” Nuovo Cim
1956
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.
Y. Iwasaki, “Quantum theory of gravitation vs. classical theory. - fourth-order potential,” Prog. Theor. Phys
1971
Earlier work this paper cites.
A. Rosenblum, “Gravitational Radiation Energy Loss in Scattering Problems and the Einstein Quadrupole Formula,” Phys. Rev. Lett
1978
Earlier work this paper cites.
K. Westpfahl and M. Goller, “Gravitational Scattering Of Two Relativistic Particles In Postlinear Approximation,” Lett. Nuovo Cim
1979
Earlier work this paper cites.
M. Portilla, “Momentum and angular momentum of two gravitating particles,” J. Phys
1979
Earlier work this paper cites.
M. Portilla, “Scattering Of Two Gravitating Particles: Classical Approach,” J. Phys
1980
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
1981
Earlier work this paper cites.
T. Damour and N. Deruelle, “Radiation Reaction and Angular Momentum Loss in Small Angle Gravitational Scattering,” Phys. Lett
1981
Earlier work this paper cites.
H. Kawai, D. C. Lewellen, and S. H. H. Tye, “A Relation Between Tree Amplitudes of Closed and Open Strings,” Nucl. Phys
1986
Earlier work this paper cites.
K. Westpfahl, R. Mohles, and H. Simonis, “Energy-momentum conservation for gravitational two-body scattering in the post-linear approximation,” Classical and Quantum Gravity
1987
Earlier work this paper cites.
F. A. Berends and W. T. Giele, “Recursive Calculations for Processes with n Gluons,” Nucl. Phys
1988
Earlier work this paper cites.
Z. Bern and A. K. Grant, “Perturbative gravity from QCD amplitudes,” Phys. Lett
1999
Earlier work this paper cites.
B. R. Holstein and J. F. Donoghue, “Classical physics and quantum loops,” Phys. Rev. Lett
2004
Earlier work this paper cites.
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
2005
Earlier work this paper cites.
W. D. Goldberger and I. Z. Rothstein, “An Effective field theory of gravity for extended objects,” Phys. Rev
2006
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco, and H. Johansson, “New Relations for Gauge-Theory Amplitudes,” Phys. Rev
Original
2008
Earlier work this paper cites.
Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson, and R. Roiban, “The Ultraviolet Behavior of N=8 Supergravity at Four Loops,” Phys. Rev. Lett
Original
2009
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco, and H. Johansson, “Perturbative Quantum Gravity as a Double Copy of Gauge Theory,” Phys. Rev. Lett
Original
2010
Earlier work this paper cites.
Z. Bern, T. Dennen, Y.-t. Huang, and M. Kiermaier, “Gravity as the Square of Gauge Theory,” Phys. Rev
Original
2010
Earlier work this paper cites.
R. Monteiro and D. O’Connell, “The Kinematic Algebra From the Self-Dual Sector,” JHEP
Original
2011
Earlier work this paper cites.
J. J. Carrasco and H. Johansson, “Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity,” Phys. Rev
Original
2012
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco, L. J. Dixon, H. Johansson, and R. Roiban, “Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes,” Phys. Rev
Original
2012
Earlier work this paper cites.
Z. Bern, S. Davies, T. Dennen, and Y.-t. Huang, “Absence of Three-Loop Four-Point Divergences in N=4 Supergravity,” Phys. Rev. Lett
Original
2012
Earlier work this paper cites.
Z. Bern, S. Davies, T. Dennen, and Y.-t. Huang, “Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure,” Phys. Rev
Original
2012
Earlier work this paper cites.
Z. Bern, S. Davies, and T. Dennen, “The Ultraviolet Structure of Half-Maximal Supergravity with Matter Multiplets at Two and Three Loops,” Phys. Rev
Original
2013
Earlier work this paper cites.

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Z. Bern, S. Davies, T. Dennen, A. V. Smirnov, and V. A. Smirnov, “Ultraviolet Properties of N=4 Supergravity at Four Loops,” Phys. Rev. Lett
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Then

H. Johansson, G. Kälin, and G. Mogull, “Two-loop supersymmetric QCD and half-maximal supergravity amplitudes,” JHEP
Original
2017
Later among the works it cites.
Z. Bern, J. J. M. Carrasco, W.-M. Chen, H. Johansson, R. Roiban, and M. Zeng, “Five-loop four-point integrand of N = 8 N=8 supergravity as a generalized double copy,” Phys. Rev
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Later among the works it cites.
G. Cardoso, S. Nagy, and S. Nampuri, “Multi-centered 𝒩 = 2 \mathcal{N}=2 BPS black holes: a double copy description,” JHEP
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Later among the works it cites.
A. Luna, R. Monteiro, I. Nicholson, A. Ochirov, D. O’Connell, N. Westerberg, and C. D. White, “Perturbative spacetimes from Yang-Mills theory,” JHEP
Original
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Later among the works it cites.
N. Bahjat-Abbas, A. Luna, and C. D. White, “The Kerr-Schild double copy in curved spacetime,” JHEP

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2018

Gravitational Radiation from Color-Kinematics Duality

Shen, Chia-Hsien

Understand

We perturbatively calculate classical radiation in Yang-Mills theory and dilaton gravity, to next-to-leading order in couplings.

The radiation is sourced by the scattering of two relativistic massive scalar sources with the dynamical effect taken into account, corresponding to the post-Minkowskian regime in gravity.
We show how to arrange the Yang-Mills radiation such that the duality between colors and kinematics is manifest, including the three-term Jacobi identity.
The search for duality-satisfying expressions exploits an auxiliary bi-adjoint scalar theory as a guide for locality.

Built on

B. Bertotti, “On gravitational motion,” Nuovo Cim
1956
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.
Y. Iwasaki, “Quantum theory of gravitation vs. classical theory. - fourth-order potential,” Prog. Theor. Phys
1971
Earlier work this paper cites.
A. Rosenblum, “Gravitational Radiation Energy Loss in Scattering Problems and the Einstein Quadrupole Formula,” Phys. Rev. Lett
1978
Earlier work this paper cites.
K. Westpfahl and M. Goller, “Gravitational Scattering Of Two Relativistic Particles In Postlinear Approximation,” Lett. Nuovo Cim
1979
Earlier work this paper cites.
M. Portilla, “Momentum and angular momentum of two gravitating particles,” J. Phys
1979
Earlier work this paper cites.
M. Portilla, “Scattering Of Two Gravitating Particles: Classical Approach,” J. Phys
1980
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
1981
Earlier work this paper cites.
T. Damour and N. Deruelle, “Radiation Reaction and Angular Momentum Loss in Small Angle Gravitational Scattering,” Phys. Lett
1981
Earlier work this paper cites.
H. Kawai, D. C. Lewellen, and S. H. H. Tye, “A Relation Between Tree Amplitudes of Closed and Open Strings,” Nucl. Phys
1986
Earlier work this paper cites.
K. Westpfahl, R. Mohles, and H. Simonis, “Energy-momentum conservation for gravitational two-body scattering in the post-linear approximation,” Classical and Quantum Gravity
1987
Earlier work this paper cites.
F. A. Berends and W. T. Giele, “Recursive Calculations for Processes with n Gluons,” Nucl. Phys
1988
Earlier work this paper cites.
Z. Bern and A. K. Grant, “Perturbative gravity from QCD amplitudes,” Phys. Lett
1999
Earlier work this paper cites.
B. R. Holstein and J. F. Donoghue, “Classical physics and quantum loops,” Phys. Rev. Lett
2004
Earlier work this paper cites.
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
2005
Earlier work this paper cites.
W. D. Goldberger and I. Z. Rothstein, “An Effective field theory of gravity for extended objects,” Phys. Rev
2006
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco, and H. Johansson, “New Relations for Gauge-Theory Amplitudes,” Phys. Rev
Original
2008
Earlier work this paper cites.
Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson, and R. Roiban, “The Ultraviolet Behavior of N=8 Supergravity at Four Loops,” Phys. Rev. Lett
Original
2009
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco, and H. Johansson, “Perturbative Quantum Gravity as a Double Copy of Gauge Theory,” Phys. Rev. Lett
Original
2010
Earlier work this paper cites.
Z. Bern, T. Dennen, Y.-t. Huang, and M. Kiermaier, “Gravity as the Square of Gauge Theory,” Phys. Rev
Original
2010
Earlier work this paper cites.
R. Monteiro and D. O’Connell, “The Kinematic Algebra From the Self-Dual Sector,” JHEP
Original
2011
Earlier work this paper cites.
J. J. Carrasco and H. Johansson, “Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity,” Phys. Rev
Original
2012
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco, L. J. Dixon, H. Johansson, and R. Roiban, “Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes,” Phys. Rev
Original
2012
Earlier work this paper cites.
Z. Bern, S. Davies, T. Dennen, and Y.-t. Huang, “Absence of Three-Loop Four-Point Divergences in N=4 Supergravity,” Phys. Rev. Lett
Original
2012
Earlier work this paper cites.
Z. Bern, S. Davies, T. Dennen, and Y.-t. Huang, “Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure,” Phys. Rev
Original
2012
Earlier work this paper cites.
Z. Bern, S. Davies, and T. Dennen, “The Ultraviolet Structure of Half-Maximal Supergravity with Matter Multiplets at Two and Three Loops,” Phys. Rev
Original
2013
Earlier work this paper cites.

Similar

Z. Bern, S. Davies, T. Dennen, A. V. Smirnov, and V. A. Smirnov, “Ultraviolet Properties of N=4 Supergravity at Four Loops,” Phys. Rev. Lett
Original
2013
Cited alongside, same era.
D. Neill and I. Z. Rothstein, “Classical Space-Times from the S Matrix,” Nucl. Phys
Original
2013
Cited alongside, same era.
R. H. Boels and R. S. Isermann, “On powercounting in perturbative quantum gravity theories through color-kinematic duality,” JHEP
Original
2013
Cited alongside, same era.
Z. Bern, S. Davies, and T. Dennen, “Enhanced ultraviolet cancellations in 𝒩 = 5 \mathcal{N}=5 supergravity at four loops,” Phys. Rev
Original
2014
Cited alongside, same era.
R. Monteiro, D. O’Connell, and C. D. White, “Black holes and the double copy,” JHEP

Then

H. Johansson, G. Kälin, and G. Mogull, “Two-loop supersymmetric QCD and half-maximal supergravity amplitudes,” JHEP
Original
2017
Later among the works it cites.
Z. Bern, J. J. M. Carrasco, W.-M. Chen, H. Johansson, R. Roiban, and M. Zeng, “Five-loop four-point integrand of N = 8 N=8 supergravity as a generalized double copy,” Phys. Rev
Original
2017
Later among the works it cites.
G. Cardoso, S. Nagy, and S. Nampuri, “Multi-centered 𝒩 = 2 \mathcal{N}=2 BPS black holes: a double copy description,” JHEP
Original
2017
Later among the works it cites.
A. Luna, R. Monteiro, I. Nicholson, A. Ochirov, D. O’Connell, N. Westerberg, and C. D. White, “Perturbative spacetimes from Yang-Mills theory,” JHEP
Original
2017
Later among the works it cites.
N. Bahjat-Abbas, A. Luna, and C. D. White, “The Kerr-Schild double copy in curved spacetime,” JHEP

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

2014

Cited alongside, same era.

N. E. J. Bjerrum-Bohr, J. F. Donoghue, and P. Vanhove, “On-shell Techniques and Universal Results in Quantum Gravity,” JHEP

Original

2014

Cited alongside, same era.

R. Monteiro and D. O’Connell, “The Kinematic Algebras from the Scattering Equations,” JHEP

Original

2014

Cited alongside, same era.

S. G. Naculich, “Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles,” JHEP

Original

2014

Cited alongside, same era.

WSP, 2015

Original

J. J. M. Carrasco, “Gauge and Gravity Amplitude Relations,” in Proceedings, Theoretical Advanced Study Institute in Elementary Particle Physics: Journeys Through the Precision Frontier: Amplitudes for Colliders (TASI 2014): Boulder, Colorado, June 2-27, 2014 · 2015

Cited alongside, same era.

Z. Bern, S. Davies, T. Dennen, Y.-t. Huang, and J. Nohle, “Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops,” Phys. Rev

Original

2015

Cited alongside, same era.

H. Johansson and A. Ochirov, “Pure Gravities via Color-Kinematics Duality for Fundamental Matter,” JHEP

Original

2015

Cited alongside, same era.

A. Luna, R. Monteiro, D. O’Connell, and C. D. White, “The classical double copy for Taub-NUT spacetime,” Phys. Lett

Original

2015