Search for CPT and Lorentz Invariance Violation in the Muon g-2 Experiment

The Muon g-2 Experiment at Fermilab, whose second result was published in August 2023, conducts the world's most precise measurement of the anomalous magnetic dipole moment of the muon. The Muon g-2 data can be used to search for a sidereal variation of the anomalous muon precession rate, one of the important signatures of CPT and Lorentz Invariance Violation in the muon sector. The talk will focus on the analysis framework used to study the sidereal variation of the anomalous precession frequency in the Muon g-2 Run-2/3 data. It uses the Generalised Lomb Scargle periodogram technique in the frequency domain to search for potential signals. The projected sensitivity of this search will be O(10^-24) GeV, well surpassing the Planck scale. This talk will briefly introduce the signal blinding method, which will be used on the entire Run 2/3/4/5/6 dataset.