6533b7d5fe1ef96bd12651e6
RESEARCH PRODUCT
Efficient resummation of high post-Newtonian contributions to the binding energy
Stefano FoffaRiccardo SturaniWilliam J. Torres BobadillaWilliam J. Torres Bobadillasubject
High Energy Physics - TheoryNuclear and High Energy PhysicsBlack HolesComputationFOS: Physical sciencesBinary numberContext (language use)General Relativity and Quantum Cosmology (gr-qc)01 natural sciencesGeneral Relativity and Quantum Cosmologysymbols.namesake0103 physical sciencesEffective field theoryFeynman diagramlcsh:Nuclear and particle physics. Atomic energy. RadioactivityStatistical physicsAlgebraic numberResummation010306 general physicsPhysics010308 nuclear & particles physicsEffective Field TheoriesObservableHigh Energy Physics - Theory (hep-th)symbolslcsh:QC770-798Classical Theories of Gravitydescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-02-01 | Journal of High Energy Physics |