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Photon splitting constraint on Lorentz invariance violation from Crab Nebula spectrum

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We calculate the decay width of the photon splitting into three photons in a model of quantum electrodynamics with broken Lorentz invariance. We show that this process can lead to… Click to show full abstract

We calculate the decay width of the photon splitting into three photons in a model of quantum electrodynamics with broken Lorentz invariance. We show that this process can lead to a cut-off in the very-high-energy part of a photon spectra of astrophysical sources. We obtain the 95\% CL bound on the Lorentz violating mass scale for photons from the analysis of the very-high-energy part of the Crab Nebula spectrum, obtained by HEGRA. This bound improves previous constraints by more than an order of magnitude.

Keywords: photon splitting; lorentz invariance; nebula spectrum; crab nebula

Journal Title: Journal of Cosmology and Astroparticle Physics
Year Published: 2019

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