Beam-beam simulations for optimizing the performance of the High-luminosity Large Hadron Collider Proton Physics

The High Luminosity LHC will have the challenge to operate in a high brightness regime. In these conditions, the intensity dependent collective effects dominate the operation and can significantly degrade the quality of the circulating beams. long-term single particle stability is crucial for defining the operational configurations, as it is directly correlated to beam lifetime. In this paper, the proton physics performance of the High Luminosity Large Hadron Collider is studied in terms its Dynamic Aperture in the presence of machine imperfections and including highly non-linear beam-beam interactions. For both the injection and top energy plateaus, several configurations are explored to further increase the beam lifetime thus refining the operational scenario at collisions. This assumes operation close the beam-beam limit in order to improve the pile-up conditions at the experimental detector insertions. The integrated performance of the baseline and proposed scenarios are also assessed. Furthermore, possible future upgrades such as the pact of delivering high luminosity to the Phase-II upgraded LHCb experiment well as the use of achromatic telescopic optics for mitigating the coherent stability bottleneck of the cycle are addressed and a set of optimal settings introduced.