Computational, Simulation and Machine Learning Methods in High Energy Physics and Beyond: Monte Carlo Methods.

It will be illustrated the principles on which event generators for hadron colliders are built and the progress that has allowed to increase their precision and reliability. In particular we talk about the showering algorithms, the treatment of coherence in soft radiation, and the hadronization models. It will be also illustrated the CKKW method for interfacing "tree level" array elements with shower generators, and methods to achieve accuracy at next-to-leading order.