Abstract
The leptogenesis is studied in the neutrino mass matrix with two zeros, which reduces the number of independent phases of the CP violation. These texture zeros are decomposed into the Dirac neutrino mass matrix and the right-handed Majorana one in the see-saw mechanism. It is found that there are six textures for the Dirac neutrino mass matrix, among which one texture with three zeros has three phases, three textures with four zeros have two phases, and two textures with five zeros have only one phase in the basis with the real right-handed Majorana mass matrix. The relation between the leptogenesis and the low energy CP violation is discussed in typical textures. It is remarked that the leptogenesis is linked strongly with the CP violation in the neutrino oscillations. The predicted baryon asymmetry of the universe is consistent with the observed value.
Highlights
The leptogenesis is studied in the neutrino mass matrix with two zeros, which reduces the number of independent phases of the CP violation
We study the relation between the leptogenesis and the low energy CP violation in these textures
Since the leptogenesis depends strongly on the texture and the CP violating phases of the neutrino mass matrix, it is expected that the leptogenesis links with the low energy neutrino phenomena, especially the low energy CP violation in the neutrino oscillations [15, 16, 17]
Summary
The leptogenesis is studied in the neutrino mass matrix with two zeros, which reduces the number of independent phases of the CP violation. We have found the Dirac neutrino mass matrices and the right-handed Majorana neutrino ones, which give those seven textures [11]. The independent CP violating phases are six for three generations and without a left-handed Majorana mass term, and it is very difficult to find links between the leptogenesis and the low energy CP violation. Let us discuss the structure of the CP violating phases in the neutrino mass matrix.
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