Question of Lorentz invariance in muon decay

Abstract

Possibilities to test the Lorentz invariance of the weak interaction in muon decay are considered. We derive the direction-dependent muon-decay rate with a general Lorentz-violating addition to the W-boson propagator. We discuss measurements of the directional and boost dependence of the Michel parameters and of the muon lifetime as a function of absolute velocity. The total muon-decay rate in the Lorentz-violating Standard Model Extension is addressed. Suggestions are made for dedicated (re)analyses of the pertinent data and for future experiments.

17 pages, 2 figures, accepted for publication in Phys. Rev. D

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• Testing Lorentz-symmetry violation via electroweak decays
• Physical interpretation of large Lorentz violation via Weyl semimetals
• Nonperturbative Lorentz Violation and Field Quantization
• Breaking of Lorentz Invariance in Electron-Proton Parity Violation
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay