Two hypothetic sterile neutrinos which want to mix with νe and νμ

It is argued that the observed deficit of solar and atmospheric neutrinos can be explained by neutrino oscillations νe → νs and νμ → ν's involving two hypothetic sterile neutrinos νs and ν's (blind to all Standard-Model interactions). They are keen to mix nearly maximally with νe and νμ, respectively, to form neutrino mass states νl, ν4 and ν2, ν5. Our argument is presented in the framework of a model of fermion ''texture'' formulated previously, which implies the existence of two sterile neutrinos beside the three conventional. (author)