Beam Optics Design, Measurement and Correction Strategies for Circular Colliders at the Energy and Luminosity Frontier

The work presented in this thesis is driven by the motivation of improving the understanding the beam optics of existing circular colliders at the energy and luminosity frontier and aims to define parameters required for improving the measurement quality, the energy reach and the understanding of performance limitations of the next generation synchrotron storage rings. This question is addressed, on one hand, by performing Turn-by-Turn (TbT) optics measurements at the LHC and at SuperKEKB, where the latter also allows understanding optics challenges of the FCC-ee. On the other hand, lattice and optics design concepts applicable for future circular colliders aiming to be built in an existing tunnel infrastructure are developed for the HE-LHC. Complementary simulations presented here show the impact of increased particle burn-off on the collider performance.