2018_EJRNL_PP_CLIFFORD_CHEUNG_1.pdf
Terbatas  Ratnasari
» Gedung UPT Perpustakaan
Terbatas  Ratnasari
» Gedung UPT Perpustakaan
We combine tools from effective field theory and generalized unitarity to construct a map between onshell
scattering amplitudes and the classical potential for interacting spinless particles. For general
relativity, we obtain analytic expressions for the classical potential of a binary black hole system at second
order in the gravitational constant and all orders in velocity. Our results exactly match all known results up
to fourth post-Newtonian order, and offer a simple check of future higher order calculations. By design,
these methods should extend to higher orders in perturbation theory.