Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order

J. Droste. “The field of n n moving centres in Einstein’s theory of gravitation,” Proc. Acad. Sci. Amst. 19:447–455 (1916); A. Einstein, L. Infeld and B. Hoffmann, “The Gravitational equations and the problem of motion,” Annals Math. 39

1973

Earlier work this paper cites.

B. Bertotti, “On gravitational motion”, Nuovo Cimento 4

1979

Earlier work this paper cites.

K. G. Chetyrkin and F. V. Tkachov, “Integration by parts: The algorithm to calculate beta functions in 4 Loops,” Nucl. Phys. B 192

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. B 269

1986

Earlier work this paper cites.

F. A. Berends, R. Kleiss, P. De Causmaecker, R. Gastmans and T. T. Wu, “Single bremsstrahlung processes in gauge theories,” Phys. Lett. 103B

1987

Earlier work this paper cites.

M. L. Mangano and S. J. Parke, “Multiparton amplitudes in gauge theories,” Phys. Rept. 200

1991

Earlier work this paper cites.

N. Wex and G. Schäfer, “Innermost stable orbits for coalescing binary systems of compact objects-a remark” Class. Quantum Grav. 10

1993

Earlier work this paper cites.

Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, “One loop n n -point gauge theory amplitudes, unitarity and collinear limits,” Nucl. Phys. B 425

1995

Earlier work this paper cites.

Y. Mino, M. Sasaki and T. Tanaka, “Gravitational radiation reaction to a particle motion,” Phys. Rev. D 55

1997

Earlier work this paper cites.

Z. Bern, L. J. Dixon, D. C. Dunbar, M. Perelstein and J. S. Rozowsky, “On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences,” Nucl. Phys. B 530

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

2000

Earlier work this paper cites.

A. V. Kotikov, “Differential equations method: New technique for massive Feynman diagrams calculation,” Phys. Lett. B 254

2000

Earlier work this paper cites.

P. Jaranowski and G. Schäfer, “Third post-Newtonian higher order ADM Hamilton dynamics for two-body point mass systems,” Phys. Rev. D 57

2001

Earlier work this paper cites.

T. Damour, P. Jaranowski and G. Schäfer, “Dynamical invariants for general relativistic two-body systems at the third post-Newtonian approximation,” Phys. Rev. D 62

2001

Cited alongside, same era.

T. Damour, P. Jaranowski and G. Schäfer, “Poincare invariance in the ADM Hamiltonian approach to the general relativistic two-body problem,” Phys. Rev. D 62

2001

Cited alongside, same era.

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

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. D 67

2005

Cited alongside, same era.

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

2006

T. Damour, “Gravitational scattering, post-Minkowskian approximation and effective one-body theory,” Phys. Rev. D 94

Original

2016

Later among the works it cites.

T. Binoth and G. Heinrich, “Numerical evaluation of multiloop integrals by sector decomposition,” Nucl. Phys. B 680

Original

2016

Later among the works it cites.

B. P. Abbott et al

Original

2017

Later among the works it cites.

D. Bini and T. Damour, “Gravitational scattering of two black holes at the fourth post-Newtonian approximation,” Phys. Rev. D 96

Original

2017

Later among the works it cites.

T. Damour, “High-energy gravitational scattering and the general relativistic two-body problem,” Phys. Rev. D 97