Two hypothetic sterile neutrinos which want to mix with ${\nu }_e$ and ${\nu }_{\mu }$

Abstract

It is argued that the observed deficit of solar and atmospheric neutrinos can be explained by neutrino oscillations ${\nu }_e\to {\nu }_s$ and ${\nu }_{\mu }\to {\nu }_s^{\prime }$ involving two hypothetic sterile neutrinos ${\nu }_s$ and ${\nu }_s^{\prime }$ (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.

Comments: latex, 1+21 pages, no figures