PoS - Proceedings of Science
Volume 416 - Loops and Legs in Quantum Field Theory (LL2022) - Parallel 6
Scattering amplitudes and conservative dynamics at the fourth post-Minkowskian order
M. Ruf*, Z. Bern, J. Parra-Martinez, R. Roiban, C.H. Shen, M. Solon and M. Zeng
Full text: pdf
Published on: October 20, 2022
We review recent progress using amplitudes methods to obtain new results for the conservative
classical scattering of two massive black holes at order O(G^4). We include contributions from
both potential and radiation modes which effect the conservative dynamics through the tail effect.
We compute the 2 → 2 scattering amplitudes and extract the radial action through the amplitude-
action formula and derive the scattering angle. By matching we also obtain a Hamiltonian valid
for arbitrary scattering trajectories.
DOI: https://doi.org/10.22323/1.416.0051
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