Testing Lorentz and CPT symmetry in Penning traps

The Standard Model is phenomenologically successful in explaining particles and the complex nongravitational interactions between them. The CPT theorem, linking Lorentz and CPT symmetry, is a key property of this theory. However, some attempts to unify quantum physics with gravity suggest that tiny departures from Lorentz invariance could arise in nature and produce signals in high-precision experiments. In this talk, a theoretical analysis is performed of Penning-trap experiments confining a single charged particle or its antiparticle. Comparative measurements of cyclotron and anomaly frequencies in the electron-positron system are studied to determine the sensitivity to possible effects from CPT and Lorentz violation.