Testing CPT and Lorentz Invariance with the Anomalous Spin Precession of the Muon

This article discusses tests of CPT and Lorentz invariance with data from the muon g - 2 experiment at Brookhaven National Laboratory. According to an extension of the Standard Model by Kostelecký et al., CPT/Lorentz violating terms in the Lagrangian induce a shift of the anomaly frequency ω_a of muons in a magnetic field. This shift is predicted to be different for positive and negative muons and to oscillate with the Earth's sidereal frequency. We discuss the sensitivity of the g - 2 experiment to different parameters of this Standard Model extension and propose an analysis method to search for sidereal variations of ω_a.