Classical gravitational scattering at \(\mathcal{O} (G^3)\) from Feynman diagrams
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Publication:783956
DOI10.1007/JHEP06(2020)144zbMATH Open1439.83013arXiv2003.08351MaRDI QIDQ783956
Author name not available (Why is that?)
Publication date: 4 August 2020
Published in: (Search for Journal in Brave)
Abstract: We perform a Feynman diagram calculation of the two-loop scattering amplitude for gravitationally interacting massive particles in the classical limit. Conveniently, we are able to sidestep the most taxing diagrams by exploiting the test-particle limit in which the system is fully characterized by a particle propagating in a Schwarzschild spacetime. We assume a general choice of graviton field basis and gauge fixing that contains as a subset the well-known deDonder gauge and its various cousins. As a highly nontrivial consistency check, all gauge parameters evaporate from the final answer. Moreover, our result exactly matches that of Bern et al., here verified up to sixth post-Newtonian order while also reproducing the same unique velocity resummation at third post-Minkowksian order.
Full work available at URL: https://arxiv.org/abs/2003.08351
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