Speaker
Description
The singular behaviour of QCD squared amplitudes in the collinear limit is factorized and controlled by splitting kernels with a process-independent structure. We use these kernels to define collinear functions that can be used in resummation formulae of hard-scattering observables. Different collinear functions are obtained by integrating the splitting kernels over different phase-space regions that depend on the hard-scattering observables of interest. To circumvent the rapidity divergences encountered in the case of transverse-momentum-like observables, we employ a time-like auxiliary vector in our calculation. We present the results of explicit computations of various collinear functions up to NNLO in QCD.