Dynamic aperture model for LHC integrated luminosity optimisation

In colliders particle physics experiments, the beam energy and the luminosity are the key figures of merit. To probe new physics with particle colliders requires a high centre-of-mass energy. In addition, to reduce statistical errors, a large number of events should be generated, especially when exploring rare events with a small production cross section. In this work, the focus is on analysing the evolution of luminosity at LHC during Run 2, which is the basis for providing strategies for integrated luminosity optimisation. To achieve this, we study an efficient model describing the luminosity evolution in a circular collider based on the evolution of the dynamic aperture. This model takes into account various factors such as burn-off and additional pseudo-diffusive effects.