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Lorentz invariance violation (LIV) introduced as a generic modification toparticle dispersion relations can change the photon energy threshold ofpair-production, which modifies the expected gamma-ray flux from astrophysicalsources. In this work, we review this phenomenon and explore its consequencesthrough the derived effects in the optical depth. Then, by looking forsubluminal LIV signatures in TeV gamma-ray spectra, we present stringent limitsto the LIV energy scale at leading order n=1 and 2. And finally, we present thepredicted flux of GZK-photons including LIV, in the astrophysical scenariowhich best describes UHECR data.

The optical depth including Lorentz invariance violation energy threshold shifts