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By using predictions from the Pythia 8 Monte Carlo event generator, we determine the energy-dependent turn-over values ($$p_{\text {T0}}$$ pT0 ) of the partonic cross section for the simulation of multiparton interactions. Since the observed energy dependence of the $$p_{\text {T0}}$$ pT0 values is not well described by a power-law function, we introduce an additional energy-dependent term, to better...