Beyond the LHC: a conceptual approach to a future high energy hadron collider

The concept of a post LHC hadron collider operating in the radiation damping regime was discussed in the DPF workshop on future hadron facilities. To date, hadron colliders have all operated in a state of insignificant damping, where phase space dilution from any source results in a costly degradation of instantaneous and thus integrated luminosity. The concept of using radiation damping to enhance the integrated luminosity results in an effective decoupling of the machine performance from the initial beam parameters. By relying more heavily on the damping mechanism, the requirements for tight emittance control through the injector chain and during the collider fill process can be relaxed allowing for less stringent injection field 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 lengthening the standard cell (quadrupole and spool piece reduction) and highly lumped correction schemes (correction element reduction)