The Local Unitarity representation of cross sections allows for direct numerical integration, as it locally cancels all final-state infrared singularities, locally realising the KLN theorem. In this talk I will introduce the Local Unitarity representation and discuss recent developments, relating to higher-order residues and the fully automatic renormalization in the MS and On-Shell scheme. I will also discuss the fully numerical integration of e+ e- -> jj / tt at NNLO and some progress at N3LO.
Andrea Pelloni, Tanjona Rabemananjara, Tommaso Giani