A new approach to test Lorentz invariance in the weak interaction

Abstract

Abstract Lorentz invariance has been tested rather poorly on the weak interaction in comparison to the electromagnetic interaction. This work discusses which tests on the weak interaction may be relevant. In particular, it considers exploiting the spin degrees of freedom in β decay for testing rotational invariance. The relation between the various phenomenological tests of Lorentz invariance is shown using a new theoretical framework.