Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-03-15
JHEP 0507:034,2005
Physics
High Energy Physics
High Energy Physics - Phenomenology
32 pages, 3 figures. Comments and references added. To appear in JHEP
Scientific paper
10.1088/1126-6708/2005/07/034
We consider the possibility of neutrinos being Dirac particles and study minimal mass matrices with as much zero entries as possible. We find that up to 5 zero entries are allowed. Those matrices predict one vanishing mass state, CP conservation and U_{e3} either zero or proportional to R, where R is the ratio of the solar and atmospheric \Delta m^2. Matrices containing 4 zeros can be classified in categories predicting U_{e3} = 0, U_{e3} \neq 0 but no CP violation or |U_{e3}| \neq 0 and possible CP violation. Some cases allow to set constraints on the neutrino masses. The characteristic value of U_{e3} capable of distinguishing some of the cases with non-trivial phenomenological consequences is about R/2 \sin 2 \theta_{12}. Matrices containing 3 and less zero entries imply (with a few exceptions) no correlation for the observables. We outline models leading to the textures based on the Froggatt-Nielsen mechanism or the non-Abelian discrete symmetry D_4 \times Z_2.
Hagedorn Claudia
Rodejohann Werner
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