Eikonal phase matrix, deflection angle and time delay in effective field theories of gravity

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

Original

1901

Earlier work this paper cites.

S. Foffa, P. Mastrolia, R. Sturani, C. Sturm, and W. J. Torres Bobadilla, “Static two-body potential at fifth post-Newtonian order,” Phys. Rev. Lett

Original

1902

Earlier work this paper cites.

J. Bluemlein, A. Maier, and P. Marquard, “Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses,” Phys. Lett. B

Original

1902

Earlier work this paper cites.

H.-H. Chi, “Graviton Bending in Quantum Gravity from One-Loop Amplitudes,” Phys. Rev

Original

1903

Earlier work this paper cites.

S. Foffa, R. A. Porto, I. Rothstein, and R. Sturani, “Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian,” Phys. Rev. D

Original

1903

Earlier work this paper cites.

Y. F. Bautista and A. Guevara, “From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems,” arXiv:1903.12419 [hep-th]

Original

1903

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. Brandhuber and G. Travaglini, “On higher-derivative effects on the gravitational potential and particle bending,” JHEP

Original

1905

Earlier work this paper cites.

W. T. Emond and N. Moynihan, “Scattering Amplitudes, Black Holes and Leading Singularities in Cubic Theories of Gravity,” JHEP

Original

1905

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

Original

1908

Earlier work this paper cites.

M. Ruhdorfer, J. Serra, and A. Weiler, “Effective Field Theory of Gravity to All Orders,” arXiv:1908.08050 [hep-ph]

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

Original

1908

Earlier work this paper cites.

C. de Rham and A. J. Tolley, “Speed of gravity,” Phys. Rev. D

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,” arXiv:1910.09366 [hep-th]

Original

1910

Earlier work this paper cites.

G. Kalin and R. A. Porto, “From Boundary Data to Bound States,” JHEP

Original

1910

Earlier work this paper cites.

M. Accettulli Huber, A. Brandhuber, S. De Angelis, and G. Travaglini, “Note on the absence of R 2 R^{2} corrections to Newton’s potential,” Phys. Rev

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 = 8 {\cal N}=8 supergravity at subleading level,” arXiv:1911.11716 [hep-th]

Original

1911

Earlier work this paper cites.

A. Einstein, “On The influence of gravitation on the propagation of light,” Annalen Phys

1911

Earlier work this paper cites.

N. Sennett, R. Brito, A. Buonanno, V. Gorbenko, and L. Senatore, “Gravitational-Wave Constraints on an Effective–Field-Theory Extension of General Relativity,” arXiv:1912.09917 [gr-qc]

Original

1912

Earlier work this paper cites.

A. Einstein, L. Infeld, and B. Hoffmann, “The Gravitational equations and the problem of motion,” Annals Math

1938

Earlier work this paper cites.

PhD thesis, Princeton U., 1948

L. Eisenbud, The formal properties of nuclear collisions · 1948

Earlier work this paper cites.

New York: Prentice Hall, 1951

D. Bohm, Quantum Theory · 1951

Earlier work this paper cites.

E. P. Wigner, “Lower Limit for the Energy Derivative of the Scattering Phase Shift,” Phys. Rev

1955

Earlier work this paper cites.

R. Feynman, “Quantum theory of gravitation,” Acta Phys. Polon

1963

Earlier work this paper cites.

I. I. Shapiro, “Fourth Test of General Relativity,” Phys. Rev. Lett

1964

Earlier work this paper cites.

H. Cheng and T. T. Wu, “High-energy elastic scattering in quantum electrodynamics,” Phys. Rev. Lett

1969

Earlier work this paper cites.

M. Lévy and J. Sucher, “Eikonal approximation in quantum field theory,” Phys. Rev

1969

Earlier work this paper cites.

H. D. Abarbanel and C. Itzykson, “Relativistic eikonal expansion,” Phys. Rev. Lett

1969

Earlier work this paper cites.

Y. Iwasaki, “Fourth-order gravitational potential based on quantum field theory,” Lett. Nuovo Cim

1971

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.

F. A. Berends and R. Gastmans, “Quantum Electrodynamical Corrections to Graviton-Matter Vertices,” Annals Phys

1976

Earlier work this paper cites.

P. van Nieuwenhuizen and C. C. Wu, “On integral relations for invariants constructed from three riemann tensors and their applications in quantum gravity,” Journal of Mathematical Physics

1977

Earlier work this paper cites.

I. Drummond and S. Hathrell, “QED Vacuum Polarization in a Background Gravitational Field and Its Effect on the Velocity of Photons,” Phys. Rev. D

1980

Earlier work this paper cites.

T. Damour and G. Schäfer, “Lagrangians for point masses at the second post-Newtonian approximation of general relativity,” Gen. Rel. Grav

1985

Earlier work this paper cites.

M. H. Goroff and A. Sagnotti, “Quantum gravity at two loops,” Phys. Lett

1985

Earlier work this paper cites.

A. A. Tseytlin, “Ambiguity in the Effective Action in String Theories,” Phys. Lett

1986

Earlier work this paper cites.

D. J. Gross and E. Witten, “Superstring Modifications of Einstein’s Equations,” Nucl. Phys

1986

Cited alongside, same era.

R. R. Metsaev and A. A. Tseytlin, “Order alpha-prime (Two Loop) Equivalence of the String Equations of Motion and the Sigma Model Weyl Invariance Conditions: Dependence on the Dilaton and the Antisymmetric Tensor,” Nucl. Phys

1987

Cited alongside, same era.

D. Amati, M. Ciafaloni, and G. Veneziano, “Superstring Collisions at Planckian Energies,” Phys. Lett. B

1987

Cited alongside, same era.

D. Amati, M. Ciafaloni, and G. Veneziano, “Classical and Quantum Gravity Effects from Planckian Energy Superstring Collisions,” Int. J. Mod. Phys. A

1988

Cited alongside, same era.

D. Amati, M. Ciafaloni, and G. Veneziano, “Higher Order Gravitational Deflection and Soft Bremsstrahlung in Planckian Energy Superstring Collisions,” Nucl. Phys

1990

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

Original

2014

Later among the works it cites.

T. Damour, P. Jaranowski, and G. Schäfer, “Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems,” Phys. Rev

Original

2014

Later among the works it cites.

S. Foffa and R. Sturani, “Effective field theory methods to model compact binaries,” Class. Quant. Grav

Original

2014

Later among the works it cites.

I. Z. Rothstein, “Progress in effective field theory approach to the binary inspiral problem,” Gen. Rel. Grav

2014

Later among the works it cites.

M. Ciafaloni and D. Colferai, “Rescattering corrections and self-consistent metric in Planckian scattering,” JHEP