Francesco Hautmann is staying at DESY until 3.2.2017 .
Abstract: In the theory of boosted top quark and multi-TeV jet production at the LHC and future colliders one of the most challenging topical questions concerns the role of color correlations induced by soft gluons coupling the initial and final states of the high-energy collision. It has been pointed out that such correlations may spoil perturbative QCD factorization theorems and lead to new color entanglement effects. The question arises of whether such effects may be responsible for significant corrections to transverse momentum spectra and angular correlations measured in the multi-TeV region of interest for the LHC and future high-energy experiments. We illustrate these open issues and propose new approaches to the QCD evolution of parton cascades, designed to be well-suited for the treatment of inclusive variables but also of correlations and the analysis of exclusive components of final states in high-energy collisions.