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 nu(e) --> nu(s) and nu(mu) --> nu(s)' involving two hypothetic sterile neutrinos nu(s) and nu(s)' (blind to all Standard-Model interactions). They are keen to mix nearly maximally with nu(e) and nu(mu), respectively, to form neutrino mass states nu(1), nu(4) and nu(2), nu(5). 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.