The simplest 3+2 model with two light sterile neutrinos

Abstract

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 (ν_4 and ν_5 being two additional mass neutrinos connected with the existence of two sterile neutrinos ν_s and ν_{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 (ν_4 denoting an additional mass neutrino existing due to a sterile neutrino ν_s). However, a small LSND effect with amplitude of the order O($10^{-3}$) is not excluded by the present (pre-MiniBooNE) data.