Improved partonic event generators at lepton colliders

A method is detailed for the phase space integration of multi-jets cross sections at lepton colliders, applicable to parton level Monte Carlo's at any order in perturbation theory. Other non-jet objects, massless or massive, can be included in the phase space generation. We correlate the bremsstrahlung events in a manner that integrates out all partonic configurations leading to a fixed jet configuration, thereby improving convergence. This also allows the method to extend infra-red safety to the fully differential multi-jet cross section.