Bottom-up approach to texture zeros in the neutrino mass matrix

We investigate one and two texture zeros in the neutrino mass matrix using the latest oscillation data through a bottom-up approach. In this context, we begin by estimating the detailed features of each matrix element by varying the Majorana CP violating phases within [Formula: see text], the Dirac CP violating phase within [Formula: see text], the lightest neutrino mass within [Formula: see text] and the neutrino oscillation parameters such as three mixing angles and the two mass squared differences within [Formula: see text] of their central values. We find that [Formula: see text] element can vanish only for normal ordering, whereas, four elements — [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] — vanish for normal, inverted and degenerate mass ordering. The [Formula: see text] element can vanish for inverted and degenerate mass ordering. In case of two texture zeros, [Formula: see text], [Formula: see text] and [Formula: see text], [Formula: see text] can vanish only for normal ordering, whereas, [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text], [Formula: see text] can vanish for normal, inverted and degenerate mass ordering. For a particular vanishing case, we also estimate the range of the lightest neutrino mass and the CP violating phases. In particular, very interesting correlation among the CP violating phases and the lightest neutrino mass is obtained for each vanishing cases.