Full details of the general formalism for Lorentz and CPT symmetry in the neutrino sector appeared in a 2004 publication. Including a discussion on Lorentz-violating neutrino oscillations, was presented in a 1999 publication. This neutrino framework first appeared inġ997 as part of the general SME for Lorentz violation in particle physics, which is built from the operators of the Standard Model. The neutrino sector of the SME provides a description of how Lorentz and CPT violation would affect neutrino propagation, interactions, and oscillations. The general framework for Lorentz violation is called the Standard-Model Extension (SME). However, if Lorentz violation occurs, oscillations could be due to other mechanisms.
5.2 Perturbative Lorentz-violating descriptionĬonventional Lorentz-preserving descriptions of neutrinos explain the phenomenon of oscillations by endowing these particles with mass. 3 Global models of neutrino oscillations with Lorentz violation. The generalization of the theory by incorporating Lorentz violation has shown to provide alternative scenarios to explain all the established experimental data through the construction of global models. In a theory with Lorentz violation, neutrinos can oscillate with and without masses and many other novel effects described below appear. The conventional model of neutrino oscillations assumes that neutrinos are massive, which provides a successful description of a wide variety of experiments however, there are a few oscillation signals that cannot be accommodated within this model, which motivates the study of other descriptions. Today, neutrino oscillation or change of one type of neutrino into another is an experimentally verified fact however, the details of the underlying theory responsible for these processes remain an open issue and an active field of study. 
Lorentz-violating neutrino oscillation refers to the quantum phenomenon of neutrino oscillations described in a framework that allows the breakdown of Lorentz invariance.
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