PT Journal
AU Foffa, S
   Sturani, R
   Torres Bobadilla, WJ
TI Efficient resummation of high post-Newtonian contributions to the binding energy
SO Journal of High Energy Physics
JI J. High Energy Phys.
PY 2021
BP 165
EP 18pp
VL 02
IS 2
DI 10.1007/JHEP02(2021)165
LA English
DE Classical Theories of Gravity; Black Holes; Effective Field Theories
AB 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.
ER