Probing Lorentz Invariance Violation with Z Boson Mass Measurements

This paper proposes a method to search for Lorentz Invariance Violation (LIV) by precisely measuring the mass of Z bosons produced in high-energy colliders. It argues that this approach can achieve sensitivity comparable to cosmic ray experiments, offering a new avenue to explore physics beyond the Standard Model, particularly in the weak sector where constraints are less stringent. The paper also addresses the theoretical implications of LIV, including its relationship with gauge invariance and the specific operators that would produce observable effects. The focus on experimental strategies for current and future colliders makes the work relevant for experimental physicists.