50 TeV high-field VLHC with a low field injector

The 50 TeV very large hadron colliders studied at the 1996 Snowmass workshop were taken to have an injection energy of 3 TeV. As the injection energy increases, the cost and complexity of the final injector increases, while that of the collider decreases. In this paper, we would like to consider the extreme case of a full energy injector. Presumably, this produces the maximum benefit, in terms of technical simplification and cost reduction, for the collider, at the cost of having to build a rather large injector. We consider the specific case of a 50 TeV high-field radiation-damped collider (12.5 T magnets), whose injector is a 50 TeV low-field (2 T magnets) machine. We discuss the general advantages and disadvantages of this approach.