A parametric analysis for maximizing beam quality of muon-based storage ring experiments

The Muon g-2 experiment seeks to measure the anomalous magnetic moment (g-2) of muons to a 0.14 ppm uncertainty. In order to accomplish this, the experiment’s storage ring must be supplied with the largest number of muons with energies within 0.2% of 3.094 GeV/c possible. In this work we perform a parametric analysis for enhancing the experiment’s stored beam intensity. From the accelerator technology side, we discuss the impact in muon flux of both, a passive absorber for tailoring the momentum distribution of the injected beam, and a magnetic inflector for shielding it from the storage ring fringe fields. From the beam parameter side, we examine the interplay between beam energy and momentum spread in maximizing muon storage. We show that with a proper choice of injection beam parameters in conjunction with a wedge-shaped absorber and an open-ended inflector design, the yield of the experiment could increase by over 50% as compared to the current performance. We also find that although the wedge can enhance the stored muon yield, most of the improvement originates from the open-ended inflector design.