Lorentz noninvariant oscillations of massless neutrinos are excluded

Details Lorentz noninvariant oscillations of massless neutrinos are excluded Lorentz noninvariant oscillations of massless neutrinos are excluded

2011-06-29

arxiv.org/abs/1106.6023v2

Phys.Rev.D84:056014,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.84.056014

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.

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