Accurate theoretical predictions for QCD processes at modern colliders rely on perturbative computations beyond leading order, which in turn require reliable techniques to manage the infrared singularities stemming from both virtual and real emissions. In this talk, I will discuss an extension of the nested soft-collinear subtraction framework that enables its application to generic processes with massless partons at hadron and lepton colliders. The approach is based on local subtraction counterterms, a sector-based decomposition of phase space, and an adaptive parametrisation of unresolved radiation, all of which yield a clear physical understanding of the integrated counterterms. I will detail the overall structure of the method, emphasise core technical features, and illustrate how these developments advance the automation of next-to-next-to-leading order (NNLO) QCD computations within this subtraction formalism.
Ankita Budhraja, Phillipp Klose, Marvin Schnubel