Abstract
The Muon g-2 Experiment at Fermilab is measuring the anomalous magnetic dipole moment (MDM) of the muon using the spin precession rate in the horizontal plane in a storage ring. An understanding of the dynamics of the muon beam is essential to achieving the target accuracy of 140 ppb.
We have developed a highly accurate and fully Maxwellian conformal mapping method to calculate the main field of the high voltage quadrupoles of the Muon g-2 storage ring, and we used a Fourier analysis–based method to calculate their fringe field, which has explained the experimentally measured tunes. We also performed end-to-end simulations of the Muon g-2 Experiment's beamlines, and we studied the momentum-dependent muon losses, which cause a systematic shift of the measured anomalous MDM.
The electric dipole moment (EDM) can be measured using spin precession in the vertical plane in a storage ring. We performed a spin decoherence study and a systematic errors study for frozen spin and quasi-frozen spin EDM lattices for the JEDI (Jülich Electric Dipole moment Investigations) collaboration. EDM storage rings use electrostatic deflection of the beam. Fields of electrostatic deflectors tend to have slower falloffs than magnetic dipole fields. We studied fringe fields of electrostatic deflectors and developed a general model for their representation.
