Classical gravitational scattering at O $$ mathcal{O} $$ (G 3) from Feynman diagrams

Classical gravitational scattering at O $$ mathcal{O} $$ (G 3) from Feynman diagrams

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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 schulterblattanastomose 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 shellac starter set douglas 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.[39], here verified up to sixth post-Newtonian order while also reproducing the same unique velocity resummation at third post-Minkowksian order.