The N-jettiness slicing method has proven to be a powerful tool for calculating cross sections at next-to-next-to-leading order (NNLO) in perturbative QCD, with promising potential for extending computations to higher orders. In this talk I will present new insights into N-jettiness computations based on our recent work on the renormalized N-jettiness soft function (for which we derived a compact representation free of infrared and collinear divergences through NNLO) and the subleading power corrections, which significantly enhance the convergence of the N-jettiness framework. These developments pave the way for applying the N-jettiness approach to a broader range of processes, offering new possibilities for the application of this scheme.
