Neutrinos with Zee-mass matrix in vacuum and matter

Details Neutrinos with Zee-mass matrix in vacuum and matter Neutrinos with Zee-mass matrix in vacuum and matter

Mar 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994nwzm.rept.....s&link_type=abstract

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Mathematics

Hamiltonian Functions, Higgs Bosons, Mass Distribution, Matter (Physics), Neutrinos, Vacuum, Energy Levels, Matrices (Mathematics), Oscillations, Solar Atmosphere, Supernovae, Vacuum Effects

Scientific paper

Neutrino mass matrix generated by the Zee (radiative) mechanism has zero (in general, small) diagonal elements and a natural hierarchy of the nondiagonal elements. It can be considered as an alternative (with strong predictive power) to the matrices generated by the see-saw mechanism. The propagation in medium of the neutrinos with the Zee-mass matrix is studied. The flavor neutrino transitions are described analytically. In the physically interesting cases the probabilities of transitions as functions of neutrino energy can be represented as two-neutrino probabilities modulated by the effect of vacuum oscillations related to the small mass splitting. Possible applications of the results to the solar, supernova, atmospheric and relic neutrinos are discussed. A set of the predictions is found which could allow to identify the Zee-mass matrix and therefore the corresponding mechanism of mass generation.

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