An apprach to generate large and small leptonic mixing angles

Abstract

We take up the point of view that Yukawa couplings can be either 0 or 1, and the mass patterns of fermions are generated purely from the structure of the Yukawa matrices. We utilize such neutrino as well as charged leptonic textures which lead to (maximal) mixing angles of $π/4$ in each sector for relevant transitions. The combined leptonic CKM mixing angles are $π/4 \pm π/4$ which lead to very small $\sin^2 2 Θ$ relevant to solar neutrino and LSND experiments. We propose that on the other hand the absence of the charged leptonic partner of the sterile neutrino maintains the angle $π/4$ from the neutrino sector for the transition $ν_μ\leftrightarrow ν_s$ and hence atmospheric neutrino anomaly is explained through maximal mixing.