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A factorisation property of Feynman diagrams in the context the Effective Field Theory approach to the compact binary problem has been recently employed to efficiently determine the static sector of the potential at fifth post-Newtonian (5PN) order.
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G. Kälin and R. A. Porto, From Boundary Data to Bound States , JHEP 01
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T. Damour, Classical and quantum scattering in post-Minkowskian gravity , Phys. Rev. D 102
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L. Blanchet and T. Damour, Postnewtonian Generation of Gravitational Waves , Ann. Inst. H. Poincare Phys. Theor. 50
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W. D. Goldberger and I. Z. Rothstein, An Effective field theory of gravity for extended objects , Phys. Rev. D 73
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2007
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S. Foffa, Gravitating binaries at 5PN in the post-Minkowskian approximation , Phys. Rev. D 89
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B. Kol and M. Smolkin, Classical Effective Field Theory and Caged Black Holes , Phys. Rev. D 77
2008
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M. Punturo et al., The Einstein Telescope: A third-generation gravitational wave observatory , Class. Quant. Grav. 27
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