A simulation-based toy analysis of Auger Xmax data yields M_LIV > 1.5e21 GeV (95% CL) for subluminal photon-sector Lorentz invariance violation, subject to simplified detector and composition assumptions.
Lorentz Invariance Violation and the QED Formation Length
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abstract
It was recently suggested that possible small volations of Lorentz invariance could explain the existence of UHECR beyond the GZK cutoff and the observations of multi-TeV gamma-rays from Mkn 501. Our analysis of Lorentz-violating kinematics shows that in addition to the modified threshold conditions solving cosmic ray puzzles we should expect a strong suppression of electromagnetic processes like bremsstrahlung and pair creation. This leads to drastic effects in electron-photon cascade development in the atmosphere and in detectors.
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Constraining Lorentz invariance violation from the depth of air-shower maximum
A simulation-based toy analysis of Auger Xmax data yields M_LIV > 1.5e21 GeV (95% CL) for subluminal photon-sector Lorentz invariance violation, subject to simplified detector and composition assumptions.