Beam Dynamics Corrections to the Muon's Anomalous Spin Precession Frequency in the Muon g-2 Experiment at Fermilab

The Muon g-2 experiment at Fermilab concluded data collection in June 2023. The first two results, published in 2021 and 2023, set new benchmarks for the precision measurement of the muon's anomalous magnetic moment, using data collected from 2018 to 2020. With the final results, we aim to reduce the measurement uncertainty to an unprecedented 140 parts per billion. To determine the muon's magnetic anomaly, we measure both the anomalous spin precession frequency of the muon and the magnetic field it experiences within the storage ring. While the spin precession frequency is obtained by fitting the decay positron time spectrum above an optimized energy threshold, beam dynamics introduce effects that require corrections to the measured frequency. This talk will focus on these beam dynamics corrections to the anomalous spin precession and the dedicated measurements and analyses performed to account for them.