Limiting superluminal neutrino velocity and Lorentz invariance violation by neutrino emission from the blazar TXS 0506+056

The Search for Neutrino-Antineutrino Mixing from Lorentz Invariance Violation using Neutrino Interactions in MINOS

The Search for Neutrino-Antineutrino Mixing Resulting from Lorentz Invariance Violation using neutrino interactions in MINOS

We searched for a sidereal modulation in the rate of neutrinos produced by the NuMI beam and observed by the MINOS far detector. The detection of such harmonic signals could be a signature of neutrino-antineutrino mixing due to Lorentz and CPT violation as described by the Standard-Model Extension framework. We found no evidence for these sidereal signals and we placed limits on the coefficient...

Neutrino Oscillations and Lorentz Violation

Most data acquired to date by experiments in particle physics are successfully described by the minimal Standard Model (SM). One exception is the observation of neutrino oscillations, which are now well established and provide a compelling indication that the minimal SM requires modification. The inclusion of small masses in the neutrino sector of the SM suffices to describe the bulk of the exp...

Lorentz Invariance of Neutrino Oscillations

It is shown that, in spite of the appearances, the standard expression for the oscillation probability of ultrarelativistic neutrinos is Lorentz invariant. Flavor is the quantum number that distinguishes the different types of quarks and leptons. It is a Lorentz-invariant quantity. For example, an electron is seen as an electron by any observer, never as a muon. Therefore, the probability of fl...

Probing Lorentz Invariance Violation in Atmospheric Neutrino Oscillations with a Neutrino Telescope

One possible feature of quantum gravity may be the violation of Lorentz invariance. In this paper we consider one particular manifestation of the violation of Lorentz invariance, namely modified dispersion relations for massive neutrinos. We show how such modified dispersion relations may affect atmospheric neutrino oscillations. We then consider how neutrino telescopes, such as ANTARES, may be...