Splitting of Three Nearly Mass-Degenerate Neutrinos

Details Splitting of Three Nearly Mass-Degenerate Neutrinos Splitting of Three Nearly Mass-Degenerate Neutrinos

1998-12-12

arxiv.org/abs/hep-ph/9812344v2

Phys.Lett. B456 (1999) 48-53

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages including 1 figure, slightly revised version to appear in Physics Letters B

Scientific paper

10.1016/S0370-2693(99)00458-X

Assuming the canonical seesaw mechanism together with an SO(3) family symmetry for leptons, broken only by the charged-lepton masses, I show that the three neutrinos of Majorana mass $m_0$ are split radiatively in two loops by a maximum finite calculable amount of order $10^{-9} m_0$. This is very suitable for dark matter and vacuum solar neutrino oscillations. I also discuss how atmospheric neutrino oscillations can be incorporated.

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