Abstract
Recently 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 4.1times 10^{14}, text{ GeV } (photon splitting) and 1.9times 10^{13}, text{ GeV } (photon decay) for superluminal case, and 1.4times 10^{12} GeV (suppression of shower formation) for subluminal case.
Highlights
The Crab Nebula, pulsar wind nebula which is a remnant from supernova SN 1054, is one of the brightest and most studied galactic gamma ray sources
Contains a single extra LV term, suppressed by a certain mass scale MLV,2 which is usually considered to be connected with the scale of quantum gravity
The sign “+” in the dispersion relation is connected with superluminal case, while the sign “−” – with subluminal
Summary
The Crab Nebula, pulsar wind nebula which is a remnant from supernova SN 1054, is one of the brightest and most studied galactic gamma ray sources. The last bin of HEGRA data [4], centered at E = 75 TeV, gives the constraint MLV > 1.3 × 1014 GeV [16]. Shower formation Subluminal type of LV predicts the suppression of Bethe–Heitler process [14] which is responsible for the first interaction of an astrophysical photon in the atmosphere.
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