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

Cheung, Clifford; Solon, Mikhail P.

doi:10.1007/JHEP06(2020)144

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

Journal Article · 23 June 2020 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP06(2020)144 · OSTI ID:1646618

Cheung, Clifford ^[1]; Solon, Mikhail P. ^[1]

California Institute of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics

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.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011632

OSTI ID:: 1646618

Journal Information:: Journal of High Energy Physics (Online), Vol. 2020, Issue 6; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 80 works

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