Five texture zeros in the lepton sector that reproduce the observable neutrino masses and mixings: A mapping between the standard parameterization and our parameterization
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et al.; Institute for Cosmic Ray Research (ICRR) Univeristy of Tokyo; International Union of Pure and Applied Physics (IUPAP); JPS; Nagoya Convention and Visitors Bureau; Nagoya University
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In this work we have found analytical relations between the standard parameterization of the lepton mixing matrix (in the PDG convention) and the one obtained after considering five texture zeros in lepton mass matrices inspired by the Ramond-Robert-Ross forms originally applied to the quark sector. The particular lepton mass matrices structures were considered after assuming Dirac mass terms and a normal neutrino mass ordering. The lepton mixing matrices obtained are compatible with the neutrino oscillations phenomenology. To determine the analytical relation between the two parameterizations, a Taylor expansion up to second order was used such that the three mixing angles, and the Jarlskog invariant, are function of the free model parameters that come from the particular form of the chosen texture. © Copyright owned by the author(s) under the terms of the Creative Commons.
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Electrons, Fermions, Matrix algebra, Negative ions, Neutrons, Photons, Positive ions, Analytical relations, Mass matrices, Matrix structure, Mixing matrix, Neutrino mass, Neutrino mixing, Neutrino oscillations, Roberts, Second orders, Taylor's expansion, Parameterization