Neutrino Oscillations: from Standard and Non-standard Viewpoints

TL;DR

This paper reviews standard neutrino oscillation theory and explores a non-standard Lorentz violation model, proposing that neutrino oscillations could be explained without mass, depending on Lorentz-violating parameters and energy.

Contribution

It introduces a Lorentz violation-based framework for neutrino oscillations, offering an alternative to the mass-based standard model.

Findings

Neutrino oscillations can be described by Lorentz violation parameters.

Oscillation amplitude depends on neutrino energy in the LV model.

Energy-dependent experiments can test the LV scenario.

Abstract

In the standard model of neutrino oscillations, the neutrino flavor states are mixtures of mass-eigenstates, and the phenomena are well described by the neutrino mixing matrix, i.e., the PMNS matrix. I review the recent progress on parametrization of the neutrino mixing matrix. Besides that I also discuss on the possibility to describe the neutrino oscillations by a non-standard model in which the neutrino mixing is caused by the Lorentz violation (LV) contribution in the effective field theory for LV. We assume that neutrinos are massless and that neutrino flavor states are mixing states of energy eigenstates. In our calculation the neutrino mixing parts depend on LV parameters and neutrino energy. The oscillation amplitude varies with the neutrino energy, thus neutrino experiments with energy dependence may test and constrain the Lorentz violation scenario for neutrino oscillation.