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.
New constraints on Lorentz Invariance violation from Crab Nebula spectrum beyond $100$ TeV
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abstract
Recently two collaborations, Tibet and HAWC, presented new measurements of gamma-ray spectrum from Crab Nebula \cite{Amenomori:2019rjd},\cite{Abeysekara:2019edl} which continues beyond $100$ TeV. We use these data to establish two-sided constraints on parameters of Lorentz Invariance violation in quantum electrodynamics. The limits on Lorentz violating mass scale for quartic dispersion relation are $4.1\times 10^{14}\ \mbox{GeV}$ (photon splitting) and $1.9\times 10^{13}\ \mbox{GeV}$ (photon decay) for superluminal case, and $1.4\times 10^{12}$ GeV (suppression of shower formation) for subluminal case.
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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.