One vanishing minor in neutrino mass matrix using trimaximal mixing

We investigate the implications of one vanishing minor in neutrino mass matrix using trimaximal mixing matrix. In this context, we analyse all six patterns of one vanishing minor zero in neutrino mass matrix and present correlations of the neutrino oscillation parameters. All the six patterns are found to be phenomenologically viable with the present neutrino oscillation data. We also predict the values of effective Majorana mass, the effective electron anti-neutrino mass and the total neutrino mass for all the patterns. The value obtained for the effective neutrino mass is within the reach future neutrinoless double $\beta$ decay experiments. We also propose a flavor model where such patterns can be generated within the seesaw model.