Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-09-26
Phys.Lett. B417 (1998) 312-319
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTeX, 12 pages
Scientific paper
10.1016/S0370-2693(97)01407-X
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.
Häußling Rainer
Paschke Mario
Scheck Florian
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