Fermion universality manifesting itself in the Dirac component of neutrino mass matrix
Abstract
Description
An effective texture is presented for six Majorana conventional neutrinos (three active and three sterile), based on a 6x6 neutrino mixing matrix whose 3x3 active-active component arises from the popular bimaximal mixing matrix of active neutrinos $ν_e$, $ν_μ$, $ν_τ$ by three small rotations in the 14, 25, 36 planes of $ν_1$, $ν_2$, $ν_3$ and $ν_4$, $ν_5$, $ν_6$ neutrino mass states. The Dirac component (i.e. 3x3 active-sterile component) of the resulting 6x6 neutrino mass matrix is conjectured to get a structure similar to the charged lepton and quark 3x3 mass matrices, after the bimaximal mixing, specific for neutrinos, is transformed out unitarily {}from the neutrino mass matrix. The charged lepton and quark mass matrices are taken in a universal form constructed previously by the author with a considerable phenomenological success. Then, for the option of $m^2_1\simeq m^2_2\simeq m^2_3\gg m^2_4\simeq m^2_5\simeq m^2_6\simeq0$, the proposed texture {\it predicts} oscillations of solar $ν_e$'s with $Δm^2_{\rm sol}\equivΔm^2_{21}\sim(1.1$ to 1.2)$\times10^{-5}$ eV$^2$, not inconsistent with the LMA solar solution, if the SuperKamiokande value $Δm^2_{\rm atm}\equivΔm^2_{32}\sim$(3 to 3.5)$\times10^{-3}$ eV$^2$ for oscillations of atmospheric $ν_μ$'s is taken as an input.
12 pages, no figures
12 pages, no figures