Constraints and tests of the OPERA superluminal neutrinos

Abstract

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.

5 pages (2 column), 4 figures; published in Phys. Rev. Lett

References in corpus (3)

• Measurement of the atmospheric neutrino energy spectrum from 100 GeV to 400 TeV with IceCube
• Measurement of neutrino velocity with the MINOS detectors and NuMI neutrino beam
• Testing Lorentz Invariance with Neutrinos from Ultrahigh Energy Cosmic Ray Interactions

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