Abstract
A three-parameter model of neutrino oscillations based on a simple Lorentz- and CPT-violating texture is presented. The model is consistent with established data and naturally generates low-energy and neutrino–antineutrino anomalies of the MiniBooNE type. A one-parameter extension incorporates the MINOS anomaly, while a simple texture enhancement accommodates the LSND signal.
Highlights
A three-parameter model of neutrino oscillations based on a simple Lorentz- and CPT-violating texture is presented
Several experiments have adduced some evidence for anomalous neutrino oscillations that cannot be accommodated in the 3νSM
We focus on the possibility that Lorentz and CPT violation could be responsible for a substantial part of the existing oscillation data, including some or all of the anomalies
Summary
A three-parameter model of neutrino oscillations based on a simple Lorentz- and CPT-violating texture is presented. In the usual extension of the SM to three flavors of massive neutrinos (3νSM), the 3 × 3 matrix governing oscillations involves two mass-squared differences, three mixing angles, and a CP-violating phase. We study a simple texture hνeff for the 3 × 3 matrix governing oscillations of three flavors of active left-handed neutrinos that involves isotropic Lorentz and CPT violation in a chosen frame.
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