Lorentz violation in three-family neutrino oscillation

TL;DR

This paper investigates how Lorentz violation could affect three-flavor neutrino oscillations, providing a formalism that links energy dependence of oscillations to Lorentz violation parameters and deriving experimental bounds.

Contribution

It introduces a general formalism for three-family neutrino oscillations incorporating Lorentz violation and explores energy-dependent effects on oscillation amplitudes.

Findings

Lorentz violation can cause energy-dependent neutrino oscillation patterns.

Experimental data constrains Lorentz violation parameters.

Neutrino experiments with energy variation can test Lorentz violation scenarios.

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.