Lorentz violation in three-family neutrino oscillation

Abstract

We analyze the consequences of Lorentz violation (LV) to three-generation neutrino oscillation in the massless neutrino sector. We present a general formalism of three-family neutrino oscillation with neutrino flavor states being mixing states of energy eigenstates. It is also found that the mixing parts could strongly depend on neutrino energy by special choices of Lorentz violation parameters. By confronting with the existing experimental data on neutrino oscillation, the upper bounds on LV parameters are derived. Because the oscillation amplitude could vary with the neutrino energy, neutrino experiments with energy dependence may test and constrain the Lorentz violation scenario for neutrino oscillation.

15 latex pages, 5 figures, final version for journal publication

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Cited by in corpus (14)

• Neutrinos with Lorentz-violating operators of arbitrary dimension
• Lorentz- and CPT-violating models for neutrino oscillations
• Three-parameter Lorentz-violating texture for neutrino mixing
• Possible cosmogenic neutrino constraints on Planck-scale Lorentz violation
• Neutrino oscillations and Lorentz Invariance Violation in a Finslerian Geometrical model
• Testing Lorentz invariance and CPT symmetry using gamma-ray burst neutrinos
• The Phantom of the OPERA: Superluminal Neutrinos
• Neutrino speed anomaly as signal of Lorentz violation
• MINOS Anomaly as A Signal of Lorentz Violation
• Challenges Confronting Superluminal Neutrino Models
• New perspective on space and time from Lorentz violation
• New Chance for Researches on Lorentz Violation
• Superluminal Neutrinos in the Minimal Standard Model Extension
• Discussion on Lorentz Invariance Violation of Non-commutative Field Theory and Neutrino Oscillation