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Muon colliders have been proposed for the next generation of particleaccelerators that study high-energy physics at the energy and intensityfrontiers. In this paper we study a possible implementation of muon ionizationcooling, Parametric-resonance Ionization Cooling (PIC), in the twin helixchannel. The resonant cooling method of PIC offers the potential to reduceemittance beyond that achievable with ionization cooling with ordinary magneticfocusing. We examine optimization of a variety of parameters, study thenonlinear dynamics in the twin helix channel and consider possible methods ofaberration correction.

Numerical Studies of Optimization and Aberration Correction Methods for  the Preliminary Demonstration of the Parametric Ionization Cooling (PIC)  Principle in the Twin Helix Muon Cooling Channel