Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-09-11
Phys.Rev.D71:073002,2005
Physics
High Energy Physics
High Energy Physics - Phenomenology
26 pages, 3 figures. Comments and references added, to appear in PRD
Scientific paper
10.1103/PhysRevD.71.073002
The PMNS neutrino mixing matrix is given, in general, by the product of two unitary matrices associated with the diagonalization of the charged lepton and neutrino mass matrices, respectively. Assuming that the active flavor neutrinos possess a Majorana mass matrix which is diagonalized by a bimaximal mixing matrix, we give the allowed forms of the charged lepton mixing matrix and the corresponding implied forms of the charged lepton mass matrix. We further assume that the origin of bimaximal mixing is a weakly broken flavor symmetry of the neutrino Majorana mass matrix, corresponding to the conservation of the non-standard lepton charge L' = L_e - L_mu - L_tau. The latter does not predict, in general, the atmospheric neutrino mixing to be maximal. We study the impact of this fact on the allowed forms of the charged lepton mixing matrix and on the neutrino mixing observables, analyzing the case of CP nonconservation in detail. We find, in particular, that the allowed ranges of U_{e3} and of the atmospheric neutrino mixing angle are typically larger when one assumes L' conservation than in the case of exact initial bimaximal mixing. The atmospheric neutrino mixing can take any value inside its currently allowed range, while |U_{e3}|^2 can be as small as 0.007. We discuss under which conditions the atmospheric neutrino mixing angle can be larger or smaller than pi/4. We present also a simple see-saw realization of the implied light neutrino Majorana mass matrix and consider leptogenesis in this scenario.
Petcov Serguey T.
Rodejohann Werner
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