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arXiv · hep-ph/9811241

A Bound on Violations of Lorentz Invariance

R. Cowsik·B. V. Sreekantan
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Abstract

Recently Coleman and Glashow [1] have developed a model which allows the introduction of a small violation of Lorentz invariance. Observational signatures arise because this interaction also violates flavor conservation and allows the radiative decay of the muon, $μ\to e + γ$, whose branching ratio increases as b $γ^4$ where $γ$ is the Lorentz factor of the muon with respect to the reference frame in which the dipole anisotropy of the universal microwave radiation vanishes. In this paper we place a bound of b$< 10^{-25}$ based on observations of horizontal air showers with $n_e \geq 5 \times 10^6$. With such small values of b the proposed radiative decay of the muon will not affect the functioning of the muon collider.(THIS IS A PRELIMINARY VERSION)

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R. Cowsik, B. V. Sreekantan. 1998-11-07. A Bound on Violations of Lorentz Invariance. https://doi.org/10.1016/s0370-2693(99)00016-7

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