  In this talk I discuss the application and generalization of the antenna
subtraction method to processes involving incoherent interferences of partial
amplitudes, which are generically present for the sub-leading colour
contributions to processes involving more than five partons. The approach makes
use of the known infrared (IR) singularity structure of one- and two-loop
matrix elements to guide the construction of the subtraction terms. A set of
integrated dipoles are defined which can be used to express the poles of one-
and two-loop matrix elements in terms of integrated antennae. The unintegrated
counterparts of these subtraction terms are then inferred to construct the
double real and real-virtual subtraction terms. The method has been tested by
computing the NNLO sub-leading colour contribution dijet production via gluon
scattering. The double real and real virtual matrix elements for this process
can be written purely in terms of incoherent interferences and so the
successful removal of all singularities and divergences demonstrates the
ability of the antenna subtraction method to handle general sub-leading colour
contributions
