Lorentz symmetry breaking at very high energies may lead to photon dispersion relations of the form $\omega^2=k^2+\xi_n k^2(k/M_{\rm Pl})^n$ with new terms suppressed by a power $n$ of the Planck mass $M_{\rm Pl}$. We show that first and second order terms of size $\left|\xi_1\right|\gtrsim10^{-14}$ and $\xi_2\lesssim-10^{-6}$, respectively, would lead to a photon component in cosmic rays above $10^{19}\,$eV that should already have been detected. This suggests that LI breaking suppressed up to second order in the Planck scale are unlikely to be phenomenologically viable for photons
Lorentz Violation in the Photon Sector and Ultra-High Energy Cosmic Rays
GALAVERNI, Matteo;
2008
Abstract
Lorentz symmetry breaking at very high energies may lead to photon dispersion relations of the form $\omega^2=k^2+\xi_n k^2(k/M_{\rm Pl})^n$ with new terms suppressed by a power $n$ of the Planck mass $M_{\rm Pl}$. We show that first and second order terms of size $\left|\xi_1\right|\gtrsim10^{-14}$ and $\xi_2\lesssim-10^{-6}$, respectively, would lead to a photon component in cosmic rays above $10^{19}\,$eV that should already have been detected. This suggests that LI breaking suppressed up to second order in the Planck scale are unlikely to be phenomenologically viable for photonsFile in questo prodotto:
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