Routing (electronic design automation)

Quantum mechanics

Theoretical physics

Formalism (music)

Engineering

Polymer chemistry

Mathematical physics

Multipole expansion

Scattering amplitude

First order

Applied mathematics

Scattering

Computer science

Visual arts

Classical mechanics

Observable

Computer network

Mechanical engineering

Routing protocol

Musical

Physics

Amplitude

Scalar (mathematics)

Mathematics

Quantum electrodynamics

Link-state routing protocol

Geometry

Chemistry

Black hole (networking)

Spinning

Journal of High Energy Physics

A bstract We develop a general formalism for computing classical observables for relativistic scattering of spinning particles, directly from on-shell amplitudes. We then apply this formalism to minimally coupled Einstein-gravity amplitudes for the scattering of massive spin 1/2 and spin 1 particles with a massive scalar, constructed using the double copy. In doing so we reproduce recent results at first post-Minkowskian order for the scattering of spinning black holes, through quadrupolar order in the spin-multipole expansion.

Observables and amplitudes for spinning particles and black holes