A new approach to test Lorentz invariance

TL;DR

This paper proposes a new theoretical framework to better connect and evaluate tests of Lorentz invariance in the weak interaction, especially focusing on spin-related {eta} decay experiments.

Contribution

It introduces a novel theoretical model that links various phenomenological tests of Lorentz invariance in the weak interaction.

Findings

Identifies key tests on weak interaction for Lorentz invariance

Proposes a framework to unify different experimental approaches

Highlights the importance of spin-related {eta} decay tests

Abstract

Lorentz invariance in the weak interaction has been tested rather poorly compared to the electromagnetic interaction. In this work we show which tests on the weak interaction should be considered. We focus on one particular test that explores the spin degree of freedom in {\beta} decay. To connect various phenomenological tests of Lorentz invariance in the weak interaction, we exploit a new theoretical model that may provide a framework that relates the different tests.