Energy Integrating Ratio Analysis of Muon Spin Precession Frequency Data in Fermilab Muon g − 2 Experiment

The new Fermilab Muon g − 2 experiment is currently taking data with the aim of experimentally determining the muon anomalous magnetic moment, a_μ , with a final precision of 140 ppb. The energy integrating method is a new reconstruction approach in which the total energy of the decay positrons deposited in the electromagnetic calorimeters is continuously recorded. This reconstruction method for the muon spin precession frequency (ω_a ) analysis is less sensitive to systematic bias arising from effects like pile-up and gain compared to the traditional method which reconstructs individual positron events. Furthermore, we employ a ratio histogramming procedure which mitigates the need for incorporating slow effects in the fit function. Combining the energy integrating reconstruction with the ratio histogramming provides a robust alternative way of determining ω_a . In this talk we present an overview and a status update on the energy integrating ratio analysis of the precession frequency for the Run 2 and 3 datasets.