Beyond the LHC: A Conceptual Approach to a Future High Energy Hadron Collider

The concept of a post LHC hadron collider operating in the ra- diation damping regime was discussed in the DPF workshop on future hadron facilities[1]. To date hadron colliders have all op- erated in a state of insigni®cant damping, where phase space di- lution from any source results in a costly degradation of instanta- neous and thus integrated luminosity. The concept of using radi- ation damping to enhance the integrated luminosity results in an effective decoupling of the machine performance from the ini- tial beam parameters. By relying more heavily on the damping mechanism, the requirements for tight emittance control through the injector chain and during the collider ®ll process can be re- laxed allowing for less stringent injection ®eld quality and the possibilities for looser tolerances in many other aspects of the machine. In this paper we present some generic parameters and machine characteristics before examining options for lengthen- ing the standard cell (quadrupole and spool piece reduction) and highly lumped correction schemes (correction element reduc- tion)