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arXiv:1912.04720·v1·General Relativity and Quantum Cosmology

Calculating the static gravitational two-body potential to fifth post-Newtonian order with Feynman diagrams

Stefano Foffa🇨🇭 · Pierpaolo Mastrolia🇮🇹 · Riccardo Sturani🇧🇷 · Christian Sturm🇩🇪 · William J. Torres Bobadilla🇪🇸

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Abstract

We discuss the first-time calculation of the static gravitational two-body potential up to fifth post-Newtonian(PN) order. The results are achieved through a manifest factorization property of the odd PN diagrams. The factorization property is illustrated also at first and third PN order.

Comments: 9 pages, 5 figures, contribution to the 14th International Symposium on Radiative Corrections (RADCOR2019), 9-13 September 2019, Palais des Papes, Avignon, France

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