Beam Dynamics Challenges for High-Energy Linear Colliders

CLIC can in principle be extended to higher energies than the currently foreseen 3 TeV final stage. Cost and site lengths will increase. Improved accelerating structures, potentially using new materials or plasma-based colliders might nevertheless be a very cost-effective path to much higher collision energies, even within a relatively compact linear collider facility. At these higher energies (~10 TeV or above), a linear collider would also face a power consumption or luminosity challenge. This note discussed the beam dynamics challenges, e.g. tolerances, stability, emittances, bunch structure, charge and size, that need to be faced in parallel with the gradient challenge.