  We calculate the two-loop and one-loop/one-emission contributions required
for soft gluon evolution at the next-to-leading order. The colour structures
are expressed in the colour flow basis, and the kinematic dependence and loop
integrals are expressed in terms of multiple cuts and phase-space-like
integrals. This directly allows to use them in the resummation of non-global
observables and improved parton shower algorithms beyond the leading order and
beyond the leading colour limit. Within the colour flow basis it becomes
apparent that correlations beyond a dipole picture emerge even in
colour-diagonal elements of the virtual corrections.
