Complex scaling and residual symmetry in the neutrino mass matrix

The residual symmetry approach, along with a complex extension for some flavor invariance, is a powerful tool to uncover the flavor structure of the 3 x 3 neutrino Majorana mass matrix M_\nu towards gaining insights into the intriguing phenomena of neutrino mixing. We utilize this to propose a complex extension of the real scaling ansatz for M_\nu which was introduced some years ago. Unlike the latter, our proposal allows a nonzero mass for each of the three light neutrinos as well as a nonvanishing \theta_{13}. The incorporation of a type-1 seesaw mechanism to explain the origin of the light neutrino masses within this framework is demonstrated. A major result of our scheme is that leptonic Dirac CP-violation must be maximal. Moreover, each of the two allowed majorana phases, to be probed by the search for neutrinoless nuclear double beta decay, has to be at one of its two CP-conserving values. There are other interesting consequences such as the allowed occurrence of a normal mass ordering which is not favored by the real scaling ansatz. Our predictions will be tested in ongoing and forthcoming experiments at T2K, NOvA and DUNE.