GZK photon constraints on Planck scale Lorentz violation in QED

Details GZK photon constraints on Planck scale Lorentz violation in QED GZK photon constraints on Planck scale Lorentz violation in QED

2008-05-16

arxiv.org/abs/0805.2548v2

JCAP 0808:027,2008

Astronomy and Astrophysics

Astrophysics

v2: Improved Introduction. Accepted by JCAP

Scientific paper

10.1088/1475-7516/2008/08/027

We show how the argument exploited by Galaverni & Sigl in Phys. Rev. Lett., 100, 021102 (2008) (see also arXiv:0708.1737) to constrain Lorentz invariance violation (LV) using Ultra-High-Energy photon non observation by the AUGER experiment, can be extended to QED with Planck-suppressed LV (at order $O(E/M)$ and $O(E^2/M^2)$). While the original constraints given by Galaverni & Sigl happen to be weakened, we show that, when used together with other EFT reactions and the expected detection of photons at $E > 10^{19}$ eV by AUGER, this method has the potentiality not only to basically rule out order $O(E/M)$ corrections but also to strongly constrain, for the first time, the CPT-even $O(E^2/M^2)$ LV QED.

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