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We use the antenna subtraction method to isolate the infrared singularitiespresent in QCD scattering amplitudes at next-to-next-to-leading order. Inparticular, infrared singularities due to double-real radiation andreal-virtual radiation are subtracted from the QCD matrix elements usingantenna functions which are then integrated analytically and added to thedouble-virtual contribution. Here we consider two-jet production at NNLO athadron colliders and construct subtraction terms for the double-real andreal-virtual channels that describe the single and double unresolvedconfigurations of the pure gluon scattering matrix elements. In all singularregions we show numerically that the subtraction terms correctly approximatethe matrix elements and demonstrate that upon integration they contribute tothe cancellation of all infrared poles when combined with one and two-loopmatrix elements.

Infrared structure of pp $\to$ 2 jets at NNLO: the gluon channel