Beam dynamics corrections to the measurement of the muon magnetic anomaly in the Muon g-2 Experiment at Fermilab

The Muon g-2 Experiment at Fermilab aims to measure the muon magnetic anomaly to an unprecedented precision of 0.14 parts per million (ppm). In August 2023, the collaboration published its second result, which was based on the second and third years of collected data and pushed the experimental world average to a precision of 0.19 ppm. The muon magnetic anomaly is extracted from precision measurements of both the muon's anomalous spin precession and the uniform magnetic field in which the muons precess. Accounting for beam dynamics effects on the extraction of the muon's anomalous spin precession is critical to the measurement. In this talk, we describe corrections that arise from these beam dynamics effects and highlight the improvements we have made since our first result.