Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constraints and tests of the OPERA superluminal neutrinos   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.

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The categories of this paper are: atom-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th