Author ORCID Identifier

https://orcid.org/0009-0007-7043-9819

Date Available

5-1-2025

Year of Publication

2025

Document Type

Doctoral Dissertation

Degree Name

Doctor of Philosophy (PhD)

College

Arts and Sciences

Department/School/Program

Physics and Astronomy

Faculty

Tim Gorringe

Faculty

Anatoly Dymarsky

Abstract

This dissertation investigates the anomalous magnetic moment of the muon, aµ, through the Fermilab Muon g -2 Experiment, which aims to measure aµ to a precision of about 140 parts-per-billion.

Muons were injected into a magnetic storage ring where their decay positrons were detected by calorimeters. The changing spin and momentum orientation leads to an oscillation in decay positron counts, known as the anomalous precession frequency ! a. Using the magnetic field and !a measurements, we can determine the value of a µ. This study focuses on the Q-Method determination of !a, which utilizes an energyintegrated reconstruction rather than high-energy positron reconstruction. This method introduces different systematic uncertainties, providing an important complementary approach.

The previous analysis, which combined data from Brookhaven and Runs 1, 2, and 3, achieved an experimental average with a total uncertainty of 200 ppb. This dissertation focuses on Runs 4, 5, and 6, which feature significantly larger statistics and incorporate improvements such as a Quad RF system and an extended time range, reducing the Q-methods total uncertainty by a factor of 2.

This more precise measurement will be compared with theoretical predictions, and if the current discrepancy persists, it could provide evidence for new physics beyond the Standard Model.

Digital Object Identifier (DOI)

https://doi.org/10.13023/etd.2025.19

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