Author ORCID Identifier

Year of Publication


Degree Name

Doctor of Philosophy (PhD)

Document Type

Doctoral Dissertation


Arts and Sciences


Physics and Astronomy

First Advisor

Dr. Brad Plaster


The first results of the positive muon anomalous magnetic moment from the Muon g-2 Experiment at Fermilab differs from the Standard Model prediction by 3.3 standard deviations, with an experimental uncertainty of 0.46 ppm. Combining this result with the previous measurement from the Brookhaven National Laboratory, it sets the difference between experiment and theory at 4.2 standard deviations. The goal of the Muon g-2 Experiment at Fermilab is to increase this discrepancy to 5 standard deviations, which would require unprecedented precision in the measurements of 0.14 ppm. Of significant importance to achieving this precision, beam and spin dynamics simulations are needed to estimate some of the systematic effects of the anomalous magnetic moment measurement. This dissertation explains the origin of the beam dynamics systematic effects; describes numerical models for beam and spin tracking simulations; develops different applications to constraint systematic effects to the ppb scale; defines methods to combine simulated and experimental data; and estimates the novel systematic correction of the Differential Decay effect.

Digital Object Identifier (DOI)

Funding Information

This study was supported by the National Science Foundation under Award Number PHY-1714014 from 2018 to 2023