Neutrino mass matrices with three or four vanishing cofactors and nondiagonal charged lepton sector

We investigate the texture structures of lepton mass matrices with four (five) nonzero elements in the charged lepton mass matrix and three (four) vanishing cofactors in the neutrino mass matrix. Using weak basis transformations, all possible textures for three and four vanishing cofactors in M_ are grouped into seven classes, and predictions for the unknown parameters---such as the Dirac CP-violating phase and the effective Majorana mass---for the phenomenologically allowed textures are obtained. We, also, illustrate how such texture structures can be realized using discrete Abelian flavor symmetries.