%0 Journal Article
%T Constraints and tests of the OPERA superluminal neutrinos
%A Xiao-Jun Bi
%A Peng-Fei Yin
%A Zhao-Huan Yu
%A Qiang Yuan
%J Physics
%D 2011
%I arXiv
%R 10.1103/PhysRevLett.107.241802
%X The superluminal neutrinos detected by OPERA indicates Lorentz invariance violation (LIV) of the neutrino sector at the order of $10^{-5}$. We study the implications of the result in this work. We find that such a large LIV implied by OPERA data will make the neutrino production process $\pi \to \mu + \nu_\mu$ kinematically forbidden for neutrino energy greater than about 5 GeV. The OPERA detection of neutrinos at 40 GeV can constrain the LIV parameter to be smaller than $3\times 10^{-7}$. Furthermore the neutrino decay in the LIV framework will modify the neutrino spectrum greatly. The atmospheric neutrino spectrum measured by IceCube can constrain the LIV parameter to the level of $10^{-12}$. The future detection of astrophysical neutrinos of Galactic sources is expected to be able to give even stronger constraint on the LIV parameter of neutrinos.
%U http://arxiv.org/abs/1109.6667v3