Three vanishing weak-basis invariants are not sufficient for leptonic CP conservation with Majorana neutrinos in the full allowed mass region; four are sufficient, and new three-invariant sets work only within current experimental bounds.
Degenerate and Quasi Degenerate Majorana Neutrinos
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abstract
We study mixing and CP violation of three left-handed Majorana neutrinos in the limit of exactly degenerate masses, identify the weak-basis invariant relevant for CP violation and show that the leptonic mixing matrix is parametrized only by two angles and one phase. After the lifting of the degeneracy, this parametrization accommodates the present data on atmospheric and solar neutrinos, as well as double beta decay. Some of the leptonic mixing ansatze suggested in the literature correspond to special cases of this parametrization.
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The number of sufficient and necessary conditions for CP conservation with Majorana neutrinos: three or four?
Three vanishing weak-basis invariants are not sufficient for leptonic CP conservation with Majorana neutrinos in the full allowed mass region; four are sufficient, and new three-invariant sets work only within current experimental bounds.