MBR Monte Carlo Simulation in PYTHIA8

We present the mbr (Minimum Bias Rockefeller) Monte Carlo simulation of (anti) proton-proton interactions and its implementation in the pythia8 event generator. We discuss the total, elastic, and total-inelastic cross sections, and three contributions from diffraction dissociation processes that contribute to the latter: single diffraction, double diffraction, and central diffraction or double-Pomeron exchange. The event generation follows a renormalized-Regge-theory model, successfully tested using CDF data. Based on the mbr-enhanced pythia8 simulation, we present cross-section predictions for the lhc and beyond, up to collision energies of 50 TeV.