Planck scale effects in neutrino physics

Mathematics – Logic

Scientific paper

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Dark Matter, Electron Mass, Leptons, Plancks Constant, Scale Effect, Solar Neutrinos, Broken Symmetry, Cosmology, Gravitation, Phenomenology

Scientific paper

We study the phenomenology and cosmology of the Majoron (flavon) models of one inert neutrino and three active ones. We pay special attention to the possible (almost) conserved generalization of the Zeldovich-Konopinski-Mahmoud lepton charge. Using Planck scale physics effects, which provide the breaking of the lepton charge, we show how, in this picture, one can incorporate the solutions to some of the central issues in neutrino physics, such as the solar and atmospheric neutrino puzzles, dark matter, and a 17 keV neutrino. These gravitation effects induce tiny Majorana mass terms for neutrinos and considerable masses for flavons. The cosmological demand for the sufficiently fast decay of flavons implies a lower limit on the electron neutrino mass in the range of 0.1-1 eV.

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