Cheung, Clifford and Solon, Mikhail P. (2020) Classical gravitational scattering at O(G³) from Feynman diagrams. Journal of High Energy Physics, 2020 (6). Art. No. 144. ISSN 1126-6708. doi:10.1007/JHEP06(2020)144. https://resolver.caltech.edu/CaltechAUTHORS:20200408-134409453
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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 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. [39], 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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| Additional Information: | © 2020 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received 09 May 2020; Accepted 05 June 2020; Published 23 June 2020. We thank Zvi Bern, Aneesh Manohar, Ira Rothstein, and Nabha Shah for helpful discussions. C.C. and M.P.S. are supported by the DOE under grant no. DE- SC0011632 and by the Walter Burke Institute for Theoretical Physics. The calculations here used the computer algebra system Mathematica [103] in combination with FeynCalc [104{106] and xAct [107]. | |||||||||
| Group: | Walter Burke Institute for Theoretical Physics | |||||||||
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| Subject Keywords: | Black Holes, Classical Theories of Gravity, Effective Field Theories, Scattering Amplitudes | |||||||||
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| Issue or Number: | 6 | |||||||||
| DOI: | 10.1007/JHEP06(2020)144 | |||||||||
| Record Number: | CaltechAUTHORS:20200408-134409453 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200408-134409453 | |||||||||
| Official Citation: | Cheung, C., Solon, M.P. Classical gravitational scattering at O(G3) from Feynman diagrams. J. High Energ. Phys. 2020, 144 (2020). https://doi.org/10.1007/JHEP06(2020)144 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 102408 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Joy Painter | |||||||||
| Deposited On: | 08 Apr 2020 20:55 | |||||||||
| Last Modified: | 16 Nov 2021 18:11 |
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