Developing the Precision Magnetic Field for the E989 Muon g–2 Experiment

Abstract

The experimental value of $(g\hbox{--}2)_\mu$ historically has been and contemporarily remains an important probe into the Standard Model and proposed extensions. Previous measurements of $(g\hbox{--}2)_\mu$ exhibit a persistent statistical tension with calculations using the Standard Model implying that the theory may be incomplete and constraining possible extensions. The Fermilab Muon g-2 experiment, E989, endeavors to increase the precision over previous experiments by a factor of four and probe more deeply into the tension with the Standard Model. The $(g\hbox{--}2)_\mu$ experimental implementation measures two spin precession frequencies defined by the magnetic field, proton precession and muon precession. The value of $(g\hbox{--}2)_\mu$ is derived from a relationship between the two frequencies. The precision of magnetic field measurements and the overall magnetic field uniformity achieved over the muon storage volume are then two undeniably important aspects of the experiment in minimizing uncertainty. The current thesis details the methods employed to achieve magnetic field goals and results of the effort.