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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. 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.
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.
A. Cristofoli, N. Bjerrum-Bohr, P. H. Damgaard, and P. Vanhove, “Post-Minkowskian Hamiltonians in general relativity,” Phys. Rev. D
Original
1906
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,” arXiv:1908.01493 [hep-th]
Original
1908
Earlier work this paper cites.
G. Kälin and R. A. Porto, “From Boundary Data to Bound States,” JHEP
Original
1910
Earlier work this paper cites.
N. Bjerrum-Bohr, A. Cristofoli, and P. H. Damgaard, “Post-Minkowskian Scattering Angle in Einstein Gravity,” JHEP
Original
1910
Earlier work this paper cites.
G. Kälin and R. A. Porto, “From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist),” JHEP
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 \mathcal{N} = 8 supergravity at subleading level,” JHEP
Original
1911
Earlier work this paper cites.
T. Damour, “Classical and quantum scattering in post-Minkowskian gravity,” Phys. Rev. D
Original
1912
Earlier work this paper cites.
A. P. Saha, B. Sahoo, and A. Sen, “Proof of the classical soft graviton theorem in D D = 4,” JHEP
Original
1912
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev
1965
Earlier work this paper cites.
R. Ruffini and J. A. Wheeler, “Relativistic cosmology and space platforms,” ESRO 52
1971
Earlier work this paper cites.
S. J. Kovacs and K. S. Thorne, “The Generation of Gravitational Waves. 4. Bremsstrahlung,” Astrophys. J
1978
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, “Classical and Quantum Gravity Effects from Planckian Energy Superstring Collisions,” Int. J. Mod. Phys
1988
Earlier work this paper cites.

Similar

I. J. Muzinich and M. Soldate, “High-Energy Unitarity of Gravitation and Strings,” Phys. Rev
1988
Cited alongside, same era.
B. Sundborg, “High-energy asymptotics: the one loop string amplitude and resummation,” Nucl. Phys
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
Cited alongside, same era.
Z. Bern, H. Ita, J. Parra-Martinez, and M. S. Ruf, “Universality in the classical limit of massless gravitational scattering,” Phys. Rev. Lett
Original
2002
Cited alongside, same era.
A. Cristofoli, P. H. Damgaard, P. Di Vecchia, and C. Heissenberg, “Second-order Post-Minkowskian scattering in arbitrary dimensions,” JHEP
Original
2003

Then

D. Bini and T. Damour, “Gravitational radiation reaction along general orbits in the effective one-body formalism,” Phys. Rev. D
Original
2012
Later among the works it cites.
S. Melville, S. G. Naculich, H. J. Schnitzer, and C. D. White, “Wilson line approach to gravity in the high energy limit,” Phys. Rev
Original
2014
Later among the works it cites.
T. Damour, “Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory,” Phys. Rev
Original
2016
Later among the works it cites.
P. Di Vecchia, R. Marotta, M. Mojaza, and J. Nohle, “New soft theorems for the gravity dilaton and the Nambu-Goldstone dilaton at subsubleading order,” Phys. Rev. D
Original
2016
Later among the works it cites.
A. Gruzinov and G. Veneziano, “Gravitational Radiation from Massless Particle Collisions,” Class. Quant. Grav

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2021

Radiation Reaction from Soft Theorems

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

Understand

Radiation reaction (RR) terms at the third post-Minkowskian (3PM) order have recently been found to be instrumental in restoring smooth continuity between the non-relativistic, relativistic, and ultra-relativistic (including the massless) regimes.

Here we propose a new and intriguing connection between RR and soft (bremsstrahlung) theorems which short-circuits the more involved conventional loop computations.
Although first noticed in the context of the maximally supersymmetric theory, unitarity and analyticity arguments support the general validity of this 3PM-order connection that we apply, in particular, to Einstein's gravity and to its Jordan-Brans-Dicke extension.
In the former case we find full agreement with a recent result by Damour obtained through a very different reasoning.

Built on

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. 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.
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.
A. Cristofoli, N. Bjerrum-Bohr, P. H. Damgaard, and P. Vanhove, “Post-Minkowskian Hamiltonians in general relativity,” Phys. Rev. D
Original
1906
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,” arXiv:1908.01493 [hep-th]
Original
1908
Earlier work this paper cites.
G. Kälin and R. A. Porto, “From Boundary Data to Bound States,” JHEP
Original
1910
Earlier work this paper cites.
N. Bjerrum-Bohr, A. Cristofoli, and P. H. Damgaard, “Post-Minkowskian Scattering Angle in Einstein Gravity,” JHEP
Original
1910
Earlier work this paper cites.
G. Kälin and R. A. Porto, “From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist),” JHEP
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 \mathcal{N} = 8 supergravity at subleading level,” JHEP
Original
1911
Earlier work this paper cites.
T. Damour, “Classical and quantum scattering in post-Minkowskian gravity,” Phys. Rev. D
Original
1912
Earlier work this paper cites.
A. P. Saha, B. Sahoo, and A. Sen, “Proof of the classical soft graviton theorem in D D = 4,” JHEP
Original
1912
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev
1965
Earlier work this paper cites.
R. Ruffini and J. A. Wheeler, “Relativistic cosmology and space platforms,” ESRO 52
1971
Earlier work this paper cites.
S. J. Kovacs and K. S. Thorne, “The Generation of Gravitational Waves. 4. Bremsstrahlung,” Astrophys. J
1978
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, “Classical and Quantum Gravity Effects from Planckian Energy Superstring Collisions,” Int. J. Mod. Phys
1988
Earlier work this paper cites.

Similar

I. J. Muzinich and M. Soldate, “High-Energy Unitarity of Gravitation and Strings,” Phys. Rev
1988
Cited alongside, same era.
B. Sundborg, “High-energy asymptotics: the one loop string amplitude and resummation,” Nucl. Phys
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
Cited alongside, same era.
Z. Bern, H. Ita, J. Parra-Martinez, and M. S. Ruf, “Universality in the classical limit of massless gravitational scattering,” Phys. Rev. Lett
Original
2002
Cited alongside, same era.
A. Cristofoli, P. H. Damgaard, P. Di Vecchia, and C. Heissenberg, “Second-order Post-Minkowskian scattering in arbitrary dimensions,” JHEP
Original
2003