Texture dynamics including potential sterile neutrino

A unified form of mass matrix proposed previously for all fundamental fermi ons is extended to include the sterile neutrino nu(s), presumed to mix main ly with nu(e), while nu(tau) mixes strongly with nu(mu) (and both nu(mu) an d nu(tau) weakly with nu(e) and nu(s)). It turns out that the former mixing can be responsible for oscillations of solar neutrinos, while the latter f or those of atmospheric neutrinos, which is in agreement with the recent Su per-Kamiokande findings. It is mentioned that nu(s) is one of two sterile n eutrinos, possible from a viewpoint of an algebraic construction. The charg ed-lepton factor U-(e) in the leptonic four-dimensional Cabibbo-Kobayashi-M askawa matrix V = U-(nu) (dagger) U-(e) is determined through the small dev iation of our previous prediction m(tau) = 1776.80 MeV (valid at the level of U-(e) = 1) from the experimental value m(tau) = 1777.00(-0.27)(+0/30) Me V. Then, it gives corrections to the four-dimensional mixing of nu(e), nu(m u), nu(tau), nu(s) leading, in particular, to small nu(e) --> nu(mu) and nu (e) --> nu(tau) oscillations (absent at the level of U-(e) = 1), in consist ency with the CHOOZ negative result. However, the LSND estimates of <(nu)ov er bar>(mu) --> <(nu)over bar>(e) and nu(mu) --> nu(e) oscillations are too large to be explained by these corrections, though in the case of nu(mu) - -> nu(e) they seem to be at the edge of such possible explanation.