Post-Minkowskian Scattering Angle in Einstein gravity

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Using the implicit function theorem we demonstrate that solutions to the classical part of the relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those of the energy equation of a relativistic two-body system. A corollary is that the scattering angle can be computed from the amplitude itself, without having to introduce a potential. All results are universal and provide for the case of general relativity a very simple formula for the scattering angle in terms of the classical part of the amplitude, to any order in the post-Minkowskian expansion.
Original languageEnglish
Article number038
JournalJournal of High Energy Physics (Online)
Volume2020
Issue number08
Number of pages21
ISSN1126-6708
DOIs
Publication statusPublished - 7 Aug 2020

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