AbstractRecently two collaborations, Tibet and HAWC, presented new measurements of gamma-ray spectrum from Crab Nebula (Amenomori et al. in Phys Rev Lett 123(5):051101, 2019, arXiv:1906.05521 [astro-ph.HE]; Abeysekara et al. [HAWC Collaboration] in Astrophys. J. 881, 134, (2019), arXiv:1905.12518 [astro-ph.HE]) 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 $$4.1\times 10^{14}\, \text{ GeV }$$4.1×1014GeV (photon splitting) and $$1.9\times 10^{13}\, \text{ GeV }$$1.9×1013GeV (photon decay) for superluminal case, and $$1.4\times 10^{12}$$1.4×1012 GeV (suppression of shower formation) for subluminal case.
Vacuum Cherenkov radiation and photon decay rates from generic Lorentz Invariance Violation
