I will present our recent progress on the calculation of the angular
momentum which is radiated by a  system of two spinning, scattering
black holes to O(G^2) in the PM expansion. The result is obtained
directly from the solutions of the trajectories of the black holes,
using a Feynman diagrammatic expansion in the framework of the Worldline
Quantum Field Theory formalism. In contrast to observables like for
example the impulse, the calculation requires to solve two-parameter
loop integrals, where the additional scale corresponds to the energy of
the outgoing worldline. I will comment on the integration procedure and
how to simplify the final Fourier integration by applying the asymptotic
limit in momentum space, prior to solving the Fourier integrals.