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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 99
Original
1901
Earlier work this paper cites.
H. Gomez and A. Helset, JHEP 1905
Original
1902
Earlier work this paper cites.
A. Koemans Collado, P. Di Vecchia and R. Russo, “Revisiting the 2PM eikonal and the dynamics of binary black holes,” arXiv:1904.02667 [hep-th]
Original
1904
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,” arXiv:1906.01579 [hep-th]
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, “Observables and amplitudes for spinning particles and black holes,” arXiv:1906.09260 [hep-th]
Original
1906
Earlier work this paper cites.
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
1908
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.
H. Kawai, D. C. Lewellen and S. H. H. Tye, “A Relation Between Tree Amplitudes of Closed and Open Strings,” Nucl. Phys. B 269
1986
Earlier work this paper cites.
R. Kleiss and H. Kuijf, “Multi - Gluon Cross-sections and Five Jet Production at Hadron Colliders,” Nucl. Phys. B 312
1989
Earlier work this paper cites.
J. F. Donoghue, “General relativity as an effective field theory: The leading quantum corrections,” Phys. Rev. D 50
1994
Earlier work this paper cites.
Z. Bern, L. J. Dixon, M. Perelstein and J. S. Rozowsky, “Multileg one loop gravity amplitudes from gauge theory,” Nucl. Phys. B 546
1999
Earlier work this paper cites.
B. R. Holstein and J. F. Donoghue, “Classical physics and quantum loops,” Phys. Rev. Lett. 93
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. D 67
2005
Earlier work this paper cites.
S. D. Badger, E. W. N. Glover, V. V. Khoze and P. Svrcek, “Recursion relations for gauge theory amplitudes with massive particles,” JHEP 0507
2005
Earlier work this paper cites.
D. Forde and D. A. Kosower, “All-multiplicity amplitudes with massive scalars,” Phys. Rev. D 73
2006
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco and H. Johansson, “New Relations for Gauge-Theory Amplitudes,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, B. Feng and T. Sondergaard, “Proof of Gravity and Yang-Mills Amplitude Relations,” JHEP 1009
Original
2010
Earlier work this paper cites.

Similar

N. E. J. Bjerrum-Bohr, P. H. Damgaard, T. Sondergaard and P. Vanhove, “The Momentum Kernel of Gauge and Gravity Theories,” JHEP 1101
Original
2011
Cited alongside, same era.
D. Neill and I. Z. Rothstein, “Classical Space-Times from the S Matrix,” Nucl. Phys. B 877
Original
2013
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 1402
Original
2014
Cited alongside, same era.
F. Cachazo, S. He and E. Y. Yuan, “Scattering of Massless Particles in Arbitrary Dimensions,” Phys. Rev. Lett. 113
Original
2014
Cited alongside, same era.
T. Adamo, E. Casali and D. Skinner, “Ambitwistor strings and the scattering equations at one loop,” JHEP 1404

Then

N. E. J. Bjerrum-Bohr, J. L. Bourjaily, P. H. Damgaard and B. Feng, “Analytic representations of Yang-Mills amplitudes,” Nucl. Phys. B 913
Original
2016
Later among the works it cites.
C. Cardona, B. Feng, H. Gomez and R. Huang, “Cross-ratio Identities and Higher-order Poles of CHY-integrand,” JHEP 1609
Original
2016
Later among the works it cites.
N. E. J. Bjerrum-Bohr, J. L. Bourjaily, P. H. Damgaard and B. Feng, “Manifesting Color-Kinematics Duality in the Scattering Equation Formalism,” JHEP 1609
Original
2016
Later among the works it cites.
Y. Geyer, L. Mason, R. Monteiro and P. Tourkine, “One-loop amplitudes on the Riemann sphere,” JHEP 1603
Original
2016
Later among the works it cites.
C. S. Lam and Y. P. Yao, “Evaluation of the Cachazo-He-Yuan gauge amplitude,” Phys. Rev. D 93

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2019

Scalar-Graviton Amplitudes

Bjerrum-Bohr, N. E. J., Cristofoli, Andrea, Damgaard, Poul H. et al.

Understand

Using the CHY-formalism and its extension to a double cover we provide covariant expressions for tree-level amplitudes with two massive scalar legs and an arbitrary number of gravitons in D dimensions.

Using unitarity methods, such amplitudes are needed inputs for the computation of post-Newtonian and post-Minkowskian expansions in classical general relativity.

Built on

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 99
Original
1901
Earlier work this paper cites.
H. Gomez and A. Helset, JHEP 1905
Original
1902
Earlier work this paper cites.
A. Koemans Collado, P. Di Vecchia and R. Russo, “Revisiting the 2PM eikonal and the dynamics of binary black holes,” arXiv:1904.02667 [hep-th]
Original
1904
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,” arXiv:1906.01579 [hep-th]
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, “Observables and amplitudes for spinning particles and black holes,” arXiv:1906.09260 [hep-th]
Original
1906
Earlier work this paper cites.
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
1908
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.
H. Kawai, D. C. Lewellen and S. H. H. Tye, “A Relation Between Tree Amplitudes of Closed and Open Strings,” Nucl. Phys. B 269
1986
Earlier work this paper cites.
R. Kleiss and H. Kuijf, “Multi - Gluon Cross-sections and Five Jet Production at Hadron Colliders,” Nucl. Phys. B 312
1989
Earlier work this paper cites.
J. F. Donoghue, “General relativity as an effective field theory: The leading quantum corrections,” Phys. Rev. D 50
1994
Earlier work this paper cites.
Z. Bern, L. J. Dixon, M. Perelstein and J. S. Rozowsky, “Multileg one loop gravity amplitudes from gauge theory,” Nucl. Phys. B 546
1999
Earlier work this paper cites.
B. R. Holstein and J. F. Donoghue, “Classical physics and quantum loops,” Phys. Rev. Lett. 93
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. D 67
2005
Earlier work this paper cites.
S. D. Badger, E. W. N. Glover, V. V. Khoze and P. Svrcek, “Recursion relations for gauge theory amplitudes with massive particles,” JHEP 0507
2005
Earlier work this paper cites.
D. Forde and D. A. Kosower, “All-multiplicity amplitudes with massive scalars,” Phys. Rev. D 73
2006
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco and H. Johansson, “New Relations for Gauge-Theory Amplitudes,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, B. Feng and T. Sondergaard, “Proof of Gravity and Yang-Mills Amplitude Relations,” JHEP 1009
Original
2010
Earlier work this paper cites.