Optimizing cost and minimizing energy loss in the recirculating race-track design of the LHeC electron linac

The objective of this project is to propose an optimal design of a recirculating electron linac for a future LHC-based e-p collider_the LHeC [1, 2]. Primary considerations are the cost, structure, shape, and size of the recirculating track, the optimal number of revolutions through which the e-beam should be accelerated, and radiative energy loss in the bends. Secondary considerations are transverse emittance growth due to radiation, the number of dipoles needed in order to maintain an upper bound on the emittance growth, the average length of such dipoles, and the maximum bending dipole field needed to recirculate the beam. These effects will be studied macroscopically with respect to the overall structure, in that smaller effects related to machine optics of the lattice structure will be neglected. The scope of the optimization problem is, in essence, a "first order" insight into optimal dimensions, centered on minimizing the most important parameter_cost.