Limits on Lorentz Violation from the Highest Energy Cosmic Rays

Details Limits on Lorentz Violation from the Highest Energy Cosmic Rays Limits on Lorentz Violation from the Highest Energy Cosmic Rays

2004-04-22

arxiv.org/abs/hep-ph/0404196v2

Phys.Rev. D70 (2004) 065002

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, no figures. Added references, very slight changes. Version published in Physical Review D

Scientific paper

10.1103/PhysRevD.70.065002

We place several new limits on Lorentz violating effects, which can modify particles' dispersion relations, by considering the highest energy cosmic rays observed. Since these are hadrons, this involves considering the partonic content of such cosmic rays. We get a number of bounds on differences in maximum propagation speeds, which are typically bounded at the 10^{-21} level, and on momentum dependent dispersion corrections of the form v = 1 +- p^2/Lambda^2, which typically bound Lambda > 10^{21} GeV, well above the Planck scale. For (CPT violating) dispersion correction of the form v = 1 + p/Lambda, the bounds are up to 15 orders of magnitude beyond the Planck scale.

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