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Neutrino masses and mixings based on a special set of quark mass matrices (II)
Authors:Carl H Albright
Institution:1. Department of Physics, Northern Illinois University, 60115, DeKalb, IL, USA
2. Fermi National Accelerator Laboratory, P.O. Box 500, 60510, Batavia, IL, USA
Abstract:In the framework of a 6×6 neutrino mass matrix with the standard seesaw mechanism, simple empirical forms are used for the leptonic Dirac mass submatrices which exhibit hierarchical chiral symmetry-breaking structure with just six parameters, as suggested by our previous work with quark mass matrices. Through a Monte Carlo analysis of Euler angle rotations applied to diagonal forms for the right-handed Majorana mass submatrix, we generate scatter plots in the δm 23 2 vs sin22θ 23 and δm 13 2 vs sin22θ 13 oscillation planes for a fixed point in the nonadiabatic MSW band. Only a small, statistically insignificant, segment of the 23 mixing plane exists corresponding to depletions of both the solarv e and atmosphericv μ fluxes; however, for such solutions the righthanded Majorana submatrix exhibits a hierarchical chiral symmetry-breaking form remarkably similar to that for the Dirac submatrices.
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