In this talk I will present the resummation of one-jettiness up to N3LL accuracy for the Z+jet production process at the LHC. The resummed calculation is matched to the corresponding fixed-order predictions extending the validity of the results to regions of the phase space where further hard emissions are present. I will show numerical results and discuss the convergence of the different...
Over recent years the logarithmic accuracy of parton showers has been advancing rapidly, first to NLL and more recently towards NNLL. In this talk I will focus on one aspect of the push towards NNLL accuracy, the triple collinear limit. I will present work towards the inclusion of real triple collinear and corresponding one loop corrections to one-to-two splittings in a parton shower...