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Vacuum Cherenkov radiation and photon decay rates from generic Lorentz Invariance Violation

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arxiv 1609.07185 v1 pith:ZGFX5V6J submitted 2016-09-22 astro-ph.HE gr-qc

H. Martínez-Huerta , A. Pérez-Lorenzana This is my paper · ORCID
classification astro-ph.HEgr-qc
keywords decayphotonapproachcherenkovgenericlorentzorderradiation
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Among the most studied approaches to introduce the breaking of Lorentz symmetry, the generic approach is one of the most frequently used for phenomenology, it converges on the modification of the free particle dispersion relation. Using this approach in the photon sector, we have calculated the squared probability amplitude for vacuum Cherenkov radiation and photon decay by correcting the QED coupling at tree level and first order in LIV parameters. For the lower order energy correction we calculate the emission and decay rate for each process.

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  1. Vacuum Cherenkov radiation for nonminimal dimension-5 Lorentz violation

    hep-ph 2025-08 conditional novelty 6.0 of 10

    Isotropic dimension-5 Lorentz violation in fermions is constrained to below 1e-18 GeV^-1 (proton, m-type) and 3e-28 GeV^-1 (proton, a-type) by the absence of vacuum Cherenkov radiation in cosmic rays.

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