Neutrino mass textures with one vanishing minor and two equal cofactors

In this paper, we carry out a numerical and systematic analysis of the neutrino mass textures, which contain one vanishing minor and an equality between two cofactors. Among 60 logically possible textures, only eight of them are excluded for both normal and inverted hierarchy by the current experimental data at 3\sigma level. We also demonstrate that the future long-baseline neutrino oscillation experiments, especially for the measurement of \theta 23 mixing angle, will play the important role in the model selection. The phenomenological implications from neutrinoless double beta decay and the cosmology observation are also examined. A discussion on the flavor symmetry realization of the textures is also given.