Lorentz- and $CPT$-violating models for neutrino oscillations

Abstract

A class of calculable global models for neutrino oscillations based on Lorentz and $CPT$ violation is presented. One simple example matches established neutrino data from accelerator, atmospheric, reactor, and solar experiments, using only 2 degrees of freedom instead of the usual five. A third degree of freedom appears in the model, and it naturally generates the MiniBooNE low-energy anomalies. More involved models in this class can also accommodate the LSND anomaly and neutrino-antineutrino differences of the MINOS type. The models predict some striking signals in various ongoing and future experiments.