Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-02-23
Eur.Phys.J.C13:117-123,2000
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, LaTeX 2e (epsf) with 9 postscript figures and one logo. Some comments and references added
Scientific paper
If, as recently reported by the Super-Kamiokande collaboration, the neutrinos are massive, the heaviest one would not be stable and, though chargeless, could in particular decay into a lighter neutrino and a photon by quantum loop effects. The corresponding rate is computed in the standard model with massive Dirac neutrinos as a function of the neutrino masses and mixing angles. The lifetime of the decaying neutrino is estimated to be approximately 10^44 years for a mass 5 10^{-2} eV. If kinematically possible, the decay of a heavy neutrino into a lighter one plus an e+ e- pair occurs at tree level and its one-loop radiative corrections get enhanced by a large logarithm of the electron mass acting as an infrared cutoff. It then largely dominates the photonic mode by several orders of magnitude, corresponding to a lifetime approximately equal to 10^{-2} year for a mass 1.1 MeV.
Ho-Kim Q.
Machet Bruno
Pham Xuan-Yem
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