Leptonic Generation Mixing, Noncommutative Geometry and Solar Neutrino Fluxes

Abstract

Triangular mass matrices for neutrinos and their charged partners contain full information on neutrino mixing in a most concise form. Although the scheme is general and model independent, triangular matrices are typical for reducible but indecomposable representations of graded Lie algebras which, in turn, are characteristic for the standard model in noncommutative geometry. The mixing matrix responsible for neutrino oscillations is worked out analytically for two and three lepton families. The example of two families fixes the mixing angle to just about what is required by the Mikheyev-Smirnov-Wolfenstein resonance oscillation of solar neutrinos. In the case of three families we classify all physically plausible choices for the neutrino mass matrix and derive interesting bounds on some of the moduli of the mixing matrix.

LaTeX, 12 pages

References in corpus (1)

• Triangular mass matrices of quarks and Cabibbo-Kobayashi-Maskawa mixing

Cited by in corpus (7)

• Only Three
• Triangular mass matrices of quarks and Cabibbo-Kobayashi-Maskawa mixing
• Bimaximal mixing from the leptonic new texture for triangular mass matrices
• Scalar anomaly cancellation reveals the hidden superalgebraic structure of the quantum chiral SU(2/1) model of leptons and quarks
• Quantum field theory on a discrete space and noncommutative geometry
• Indecomposable doubling for representations of the type I Lie superalgebras sl(m/n) and osp(2/2n)
• Group-theoretical search for rows or columns of the lepton mixing matrix