Optimisation of integrated luminosity of a circular collider in presence of levelled luminosity

The performance of particle colliders is usually quantified by the beam energy and the luminosity. In fact, the integrated value of the latter is found to be proportional to the data collected by the detectors. A more efficient collection of physics events is obtained through maximisation of the integrated luminosity over the time allocated for physics. An increased efficiency has a direct impact on the physics discovery potential of a collider. In the context of the luminosity upgrade of the CERN Large Hadron Collider, HL-LHC (High Luminosity-LHC), the thesis work aims to implement a strategy to describe and maximise the integrated luminosity in a circular collider in the presence of luminosity levelling. The assessment of the proposed approach is performed using a Monte Carlo simulation of a year-long physics run, which generates a sequence of fills. Then, an optimisation strategy is applied to the same set of fills, and the integrated luminosity for the two configurations is compared, determining the potential gain of the proposed strategy.