Classical 3-loop 2-body diagrams

Barak Kol, Ruth Shir

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


As part of the study of the two-body problem in Einstein's gravity, the fourth post-Newtonian order (4PN) of the two-body effective action is being computed presently by both effective field theory (EFT) methods and others. Diagrams with 3 (or 4) classical loops appear to be a significant obstacle. In this paper we develop a method to compute such 3-loop diagrams and demonstrate it through a specific diagram. We reduce the classical diagrams through shrinking the body worldlines to a form more familiar in Quantum Field Theory. A key ingredient in the evaluation is the Integration By Parts method for Feynman integrals.

Original languageAmerican English
Article number69
JournalJournal of High Energy Physics
Issue number9
StatePublished - 2013


  • Classical Theories of Gravity
  • Field Theories in Lower Dimensions


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