The Majorana Neutrino Mass Matrix with One Texture Zero and One Vanishing Eigenvalue
Abstract
Possible patterns of the Majorana neutrino mass matrix M with one texture zero and one vanishing eigenvalue are classified and discussed. We find that three one-zero textures of M with m1 =0 and four one-zero textures of M with m3 =0 are compatible with current neutrino oscillation data. The implications of these phenomenological ansatze on the neutrino mass spectrum and the neutrinoless double beta decay are also explored in some detail.
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