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The superluminal neutrinos detected by OPERA indicates Lorentz invariance violation (LIV) of the neutrino sector at the order of $10^{-5}$.
G. R. Kalbfleisch, N. Baggett, E. C. Fowler, J. Alspector, Phys. Rev. Lett. 43
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T. Adam et al. [OPERA Collaboration], arXiv: 1109.4897
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For some earlier works on superluminal neutrinos, see J. Alfaro, Phys. Rev. Lett. 94
2009
Later among the works it cites.
R. Abbasi et al. [IceCube Collaboration], Phys. Rev. D83
2011
Closest in time.
A. Kostelecky, N. Russell, Rev. Mod. Phys. 83
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S. T. Scully, F. W. Stecker, Astropart. Phys. 34
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Closest in time.
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