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.
Photon emission and decay from generic Lorentz Invariance Violation
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abstract
One of the most studied approaches in phenomenology to introduce the breaking of Lorentz symmetry is the generic approach. This consist on the modification of the free particle dispersion relation by the addition of an extra power law term of order $n$ on energy or momentum. Using this approach in the photon sector, we have calculated the generic rates for vacuum Cherenkov radiation and photon decay, for any order $n$, at leading order. Explicit results for the decay and emission rates for the lowest values of $n$ are also presented.
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Vacuum Cherenkov radiation for nonminimal dimension-5 Lorentz violation
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.