Complex Scaling in Neutrino Mass Matrix

Abstract

Using the residual symmetry approach, we propose a complex extension of the scaling ansatz on $M_\nu$ which allows a nonzero mass for each of the three light neutrinos as well as a nonvanishing $\theta_{13}$. Leptonic Dirac CP violation must be maximal while atmospheric neutrino mixing need not to be exactly maximal. Each of the two Majorana phases, to be probed by the search for $0\nu \beta\beta$ decay, has to be zero or $\pi$ and a normal neutrino mass hierarchy is allowed.