Classical gravitational scattering at O\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{O} $$\end{document}(G3) from Feynman diagrams

被引：0

作者：

Clifford Cheung ^{[1
]}

Mikhail P. Solon ^{[1
]}

机构：

[1] California Institute of Technology,Walter Burke Institute for Theoretical Physics

来源：

Journal of High Energy Physics | / 2020卷 / 6期

关键词：

Black Holes; Classical Theories of Gravity; Effective Field Theories; Scattering Amplitudes;

D O I：

10.1007/JHEP06(2020)144

中图分类号：

学科分类号：

摘要：

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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