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Author  |
Foffa, S.; Sturani, R.; Torres Bobadilla, W.J. |
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Title |
Efficient resummation of high post-Newtonian contributions to the binding energy |
Type |
Journal Article |
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Year |
2021 |
Publication |
Journal of High Energy Physics |
Abbreviated Journal |
J. High Energy Phys. |
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Volume |
02 |
Issue |
2 |
Pages |
165 - 18pp |
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Keywords |
Classical Theories of Gravity; Black Holes; Effective Field Theories |
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Abstract |
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. We extend this procedure to the case of non-static diagrams and we use it to fix, by means of elementary algebraic manipulations, the value of more than one thousand diagrams at 5PN order, that is a substantial fraction of the diagrams needed to fully determine the dynamics at 5PN. This procedure addresses the redundancy problem that plagues the computation of the binding energy with respect to more “efficient” observables like the scattering angle, thus making the EFT approach in harmonic gauge at least as scalable as the others methods. |
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Address |
[Foffa, Stefano] Univ Geneva, Dept Phys Theor, CH-1211 Geneva, Switzerland, Email: stefano.foffa@unige.ch; |
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Publisher |
Springer |
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Language |
English |
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Original Title |
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Series Volume |
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Edition |
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ISSN |
1029-8479 |
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Notes |
WOS:000621231300003 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
4740 |
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