Lorentz noninvariant oscillations of massless neutrinos are excluded

Abstract

The bicycle model of Lorentz noninvariant neutrino oscillations without neutrino masses naturally predicts maximal mixing and a 1/E dependence of the oscillation argument for muon-neutrino to tau-neutrino oscillations of atmospheric and long-baseline neutrinos, but cannot also simultaneously fit the data for solar neutrinos and KamLAND. Within the Standard Model Extension, we examine all 19 possible structures of the effective Hamiltonian for Lorentz noninvariant oscillations of massless neutrinos that naturally have a 1/E dependence at high neutrino energy. Due to the lack of any evidence for direction dependence, we consider only direction-independent oscillations. Although we find a number of models with a 1/E dependence for atmospheric and long-baseline neutrinos, none can also simultaneously fit solar and KamLAND data.

32 pages, 11 Postscript figures. Version to appear in PRD

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• The charged lepton mass matrix and non-zero ${\theta }_{13}$ with TeV scale New Physics
• Neutrinos as probes of Lorentz invariance
• Lorentz violation in a uniform newtonian gravitational field
• Testing Lorentz and CPT invariance with neutrinos
• Consequences of Neutrino Lorentz Violation For Leptonic Meson Decays
• On higher-order corrections in a four-fermion Lifshitz model
• Probing Lorentz Invariance Violation with Atmospheric Neutrinos at INO-ICAL
• Lorentz-Violating Regulator Gauge Fields as the Origin of Dynamical Flavour Oscillations
• CPT-symmetry studies with antihydrogen