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The residual symmetry approach, along with a complex extension for someflavor invariance, is a powerful tool to uncover the flavor structure of the$3\times3$ neutrino Majorana mass matrix $M_\nu$ towards gaining insights intoneutrino mixing. We utilize this to propose a complex extension of the realscaling ansatz for $M_\nu$ which was introduced some years ago. Unlike thelatter, our proposal allows a nonzero mass for each of the three lightneutrinos as well as a nonvanishing $\theta_{13}$. A major result of thisscheme is that leptonic Dirac CP-violation must be maximal while atmosphericneutrino mixing need not be exactly maximal. Moreover, each of the two allowedMajorana phases, to be probed by the search for nuclear $0\nu \beta\beta$decay, has to be at one of its two CP-conserving values. There are otherinteresting consequences such as the allowed occurrence of a normal massordering which is not favored by the real scaling ansatz. Our predictions willbe tested in ongoing and future neutrino oscillation experiments at T2K,NO$\nu$A and DUNE.

Extended scaling and residual flavor symmetry in the neutrino Majorana mass matrix