QCD splitting functions beyond kinematical limits

Abstract

In this talk, I will present a new decomposition of QCD splitting functions, carried out systematically up to second order in the strong coupling. The core idea is to separate the splitting functions into two components: scalar dipole radiator functions and pure splitting remainders. While these pieces include terms that are formally subleading in the soft or collinear limits, they turn out to be universal and well understood. Unlike conventional approaches, our construction does not rely on any soft or collinear approximations. This framework not only offers a clearer understanding of the structure of higher-order QCD corrections but also paves the way for more robust subtraction schemes in precision calculations.