Looking for colour entanglement in p+p collisions in LHCb kinematics

In QCD, factorisation theorems play a crucial role in calculating high energy cross sections by separating the process-dependent perturbatively-calculable short-range partonic cross section, and the universal parton distribution functions. In certain processes, colour entanglement of partons across colliding protons is expected to prevent the application of factorisation theorems. In order to detect colour entanglement in p+p collisions we are looking for an anomalous hard energy scale dependence of small transverse momentum widths in Z+jet production. Thus, we will need control observables for p+p collisions. Our objective is to determine whether or not inclusive Z production can be used to control Z+jets; the former of which is not expected to produce colour entanglement unlike the latter. To that end, we are establishing the relationship between observables for these two processes using simulated data from the Pythia Monte Carlo generator. Precisely, we are comparing the distribution of incoming parton momentum fractions, and we are looking at the relationship between the small transverse momentum distributions accessible in the two processes.