Speaker
Description
In the past decade the antenna subtraction method has been successfully implemented to compute Next-to-Next-to-Leading Order (NNLO) corrections in QCD for a series of relevant processes. In this talk we discuss the first steps towards the extension of this method at Next-to-Next-to-Next-to-Leading Order (N3LO). In particular, the calculation of N3LO antenna functions for final state radiation is presented, where each configuration of hard radiators (quark-antiquark, gluon-gluon, quark-gluon) is suitably decomposed into partonic sub-processes. Unintegrated antenna functions are directly extracted from physical squared matrix elements, while their integrated counterparts are obtained relating inclusive phase space integrals to unitarity cuts of massless four-loop integrals. We conclude commenting how the newly computed antenna functions would fit in the context of a local N3LO subtraction scheme.