Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: OPERA, SN1987a and energy dependence of superluminal neutrino velocity   This is a brief note discussing the energy dependence of superluminal
neutrino velocities recently claimed by OPERA [1,2]. The analysis is based on
the data provided there on this issue, as well as on consistency with neutrino
data from SN1987a as recorded by the Kamioka detector [3]. It is seen that it
is quite difficult to reconcile OPERA with SN1987a. The so called Coleman-
Glashow dispersion relations do not do that well, if applied at all neutrino
energies. The so called quantum gravity inspired dispersion relations perform
far worse. Near OPERA energies both an energy-independent velocity, as well as
a linear energy dependence with an offset that is comparable in value to the
observed {\delta}v by OPERA at 28.1 GeV works very well. Our analysis shows
that precision arrival time data from SN1987a still allow for superluminal
behaviour for supernova neutrinos. A smooth interpolation is given that
reconciles OPERA and SN1987a quite well. It suggests a fourth power energy
dependence for {\delta}v of supernova neutrinos. This behaviour is insensitive
to whether the velocities are energy-independent, or linearly dependent on
energy, near OPERA scale of energies. Suggestions are made for experimental
checks for these relations.

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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol