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-violating neutral-pion decays in isotropic modified Maxwell theory
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abstract
We consider an extension of the Standard Model with isotropic nonbirefringent Lorentz violation in the photon sector and restrict the discussion to the case of a "fast" photon with a phase velocity larger than the maximum attainable velocity of the quarks and leptons. With our conventions, this case corresponds to a negative Lorentz-violating parameter $\kappa$ in the action. The decay rate of a neutral pion into two nonstandard photons is calculated as a function of the 3-momentum of the initial pion and the negative Lorentz-violating parameter $\kappa$ of the final photons.
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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.