Stroboscopic analysis method and systematic effects of the coherent betatron oscillation in the g-2 experiment

The Muon g-2 Experiment at Fermilab has been working towards the goal of measuring the anomalous magnetic moment of the muon, with the unprecedented precision of 140 parts per billion. In April 2021, the g-2 collaboration published its first measurement, based on the first year of data taken. The second result, published in August 2023, is based on the combined second and third years of data. The second result was consistent with the first result, and the total uncertainty of the measurement in Fermilab became more than halved compared to the previous experiment at Brookhaven National Laboratory. In my research, we work on developing and refining the stroboscopic method of data analysis as an alternative to the standard anomalous spin precession frequency analysis. The purpose of this method is to suppress the systematic effect of the Coherent Betatron Oscillations (CBO) of the muon beam, which has been one of the most significant systematic errors in the previous results. This is achieved by re-binning the decay positron time spectrum in terms of the CBO frequencies, locking the CBO phase for each set of stroboscopic bins. We demonstrate the feasibility of the method and examine systematic uncertainties due to the irregularities in the CBO parameters.