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The Majorana neutrino mass textures with a texture zero and a vanishingcofactor are reconsidered in the light of current experimental results. Anumerical and systematic analysis is carried out for all viable patterns. Inparticular, we focus on the phenomenological implication of correlationsbetween three mixing angle (especially for $\theta_{23}$), Dirac CP-violatingphase $\delta$, the effective Majorana neutrino mass $m_{ee}$. We demonstratedthat the correlations between these variables play an important role in themodel selection and can be measured in future long-baseline oscillation andneutrinoless double beta decay. Among the six viable patterns, it is thetype-III with normal hierarchy and type-VI with inverted hierarchy that havethe parameter space where the atmospheric neutrino mixing angle $\theta_{23}$is less then maximal and the Dirac CP-violating phase covers its best-fitvalue.

Majorana Neutrino Mass Matrices with a Texture Zero and a Cofactor Zero under Current Experimental Texts