Built on

A. Addazi, M. Bianchi, and G. Veneziano, “Soft gravitational radiation from ultra-relativistic collisions at sub- and sub-sub-leading order,” JHEP
Original
1901
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
Original
1901
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
Original
1904
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.
H. Hannesdottir and M. D. Schwartz, “ S S -Matrix for massless particles,” Phys. Rev. D
Original
1911
Earlier work this paper cites.
S. Weinberg, “Photons and Gravitons in S S -Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass,” Phys. Rev
1964
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev
1965
Earlier work this paper cites.
P. P. Kulish and L. D. Faddeev, “Asymptotic conditions and infrared divergences in quantum electrodynamics,” Theor. Math. Phys
1970
Earlier work this paper cites.
C. E. DeTar, D. Z. Freedman, and G. Veneziano, “Sum rules for inclusive cross-sections,” Phys. Rev. D
1971
Earlier work this paper cites.
John Wiley and Sons, New York, 1972
S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity · 1972
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, “Superstring Collisions at Planckian Energies,” Phys. Lett
1987
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
1990
Earlier work this paper cites.
D. N. Kabat and M. Ortiz, “Eikonal quantum gravity and Planckian scattering,” Nucl. Phys
1992
Earlier work this paper cites.
C. Anastasiou and K. Melnikov, “Higgs boson production at hadron colliders in NNLO QCD,” Nucl. Phys. B
2002
Earlier work this paper cites.
C. Anastasiou, L. J. Dixon, and K. Melnikov, “NLO Higgs boson rapidity distributions at hadron colliders,” Nucl. Phys. B Proc. Suppl
2003
Earlier work this paper cites.
C. Anastasiou, L. J. Dixon, K. Melnikov, and F. Petriello, “Dilepton rapidity distribution in the Drell-Yan process at NNLO in QCD,” Phys. Rev. Lett
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
Original
2003
Earlier work this paper cites.

Similar

J. Parra-Martinez, M. S. Ruf, and M. Zeng, “Extremal black hole scattering at 𝒪 ⁡ ( G 3 ) \mathcal{O}(G^{3}) : graviton dominance, eikonal exponentiation, and differential equations,” JHEP
Original
2005
Cited alongside, same era.
G. Kälin, Z. Liu, and R. A. Porto, “Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach,” Phys. Rev. Lett
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Then

P. H. Damgaard, L. Plante, and P. Vanhove, “On an exponential representation of the gravitational S-matrix,” JHEP
Original
2021
Later among the works it cites.
E. Herrmann, J. Parra-Martinez, M. S. Ruf, and M. Zeng, “Gravitational Bremsstrahlung from Reverse Unitarity,” Phys. Rev. Lett
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2021
Later among the works it cites.
P. Di Vecchia, C. Heissenberg, R. Russo, and G. Veneziano, “The eikonal approach to gravitational scattering and radiation at 𝒪 \mathcal{O} (G 3
Original
2021
Later among the works it cites.
E. Herrmann, J. Parra-Martinez, M. S. Ruf, and M. Zeng, “Radiative classical gravitational observables at 𝒪 \mathcal{O} (G 3
Original
2021
Later among the works it cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, L. Planté, and P. Vanhove, “Classical gravity from loop amplitudes,” Phys. Rev. D

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2022

Classical Gravitational Observables from the Eikonal Operator

Di Vecchia, Paolo, Heissenberg, Carlo, Russo, Rodolfo et al.

Understand

We propose two possible eikonal operators encoding the effects of classical radiation as coherent states of gravitons and show how to compute from them different classical observables.

In the first proposal, only genuinely propagating gravitons are included, while, in the second, zero-frequency modes are added in order to recover the effects of a static gravitational field.
We first calculate the radiated energy-momentum and the change in each particle's momentum, or impulse, to 3PM order finding agreement with the literature.
We then calculate the angular momentum of the gravitational field after the collision.

Built on

A. Addazi, M. Bianchi, and G. Veneziano, “Soft gravitational radiation from ultra-relativistic collisions at sub- and sub-sub-leading order,” JHEP
Original
1901
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
Original
1901
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
Original
1904
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.
H. Hannesdottir and M. D. Schwartz, “ S S -Matrix for massless particles,” Phys. Rev. D
Original
1911
Earlier work this paper cites.
S. Weinberg, “Photons and Gravitons in S S -Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass,” Phys. Rev
1964
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev
1965
Earlier work this paper cites.
P. P. Kulish and L. D. Faddeev, “Asymptotic conditions and infrared divergences in quantum electrodynamics,” Theor. Math. Phys
1970
Earlier work this paper cites.
C. E. DeTar, D. Z. Freedman, and G. Veneziano, “Sum rules for inclusive cross-sections,” Phys. Rev. D
1971
Earlier work this paper cites.
John Wiley and Sons, New York, 1972
S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity · 1972
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, “Superstring Collisions at Planckian Energies,” Phys. Lett
1987
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
1990
Earlier work this paper cites.
D. N. Kabat and M. Ortiz, “Eikonal quantum gravity and Planckian scattering,” Nucl. Phys
1992
Earlier work this paper cites.
C. Anastasiou and K. Melnikov, “Higgs boson production at hadron colliders in NNLO QCD,” Nucl. Phys. B
2002
Earlier work this paper cites.
C. Anastasiou, L. J. Dixon, and K. Melnikov, “NLO Higgs boson rapidity distributions at hadron colliders,” Nucl. Phys. B Proc. Suppl
2003
Earlier work this paper cites.
C. Anastasiou, L. J. Dixon, K. Melnikov, and F. Petriello, “Dilepton rapidity distribution in the Drell-Yan process at NNLO in QCD,” Phys. Rev. Lett
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
Original
2003
Earlier work this paper cites.