The simplest 3+2 model with two light sterile neutrinos

Details The simplest 3+2 model with two light sterile neutrinos The simplest 3+2 model with two light sterile neutrinos

2005-06-10

arxiv.org/abs/hep-ph/0506099v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

1+6 pages, LaTeX, no figures

Scientific paper

The simplest 3+2 neutrino model is described, where two light sterile neutrinos mix very weakly with three active neutrinos and mutually do not mix at all, while the mass-squared scale of the possible LSND effect is provided by m_5^2 - m^2_4 (\nu_4 and \nu_5 being two additional mass neutrinos connected with the existence of two sterile neutrinos \nu_s and \nu_{s'}. This 3+2 model is not better for explaining the LSND effect than the simplest 3+1 neutrino model, where one light sterile neutrino mixes very weakly with three active neutrinos, while the mass-squared scale of the possible LSND effect is given by m_4^2 - m^2_1 (\nu_4 denoting an additional mass neutrino existing due to a sterile neutrino \nu_s). However, a small LSND effect with amplitude of the order O($10^{-3}$) is not excluded by the present (pre-MiniBooNE) data.

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