The $A_4$ model of leptons was proposed originally for nearly degenerate neutrino masses. With minimal modification, it is shown to accommodate as well the cases of normal hierarchy and inverted hierarchy. In all cases, this new model predicts ${\sin }^{2}2{\theta }_{\mathrm{atm}}=1\mathrm{}$ and ${\tan }^2{\theta }_{\mathrm{sol}}=0.5\mathrm{}$ for $U_{e3\mathrm{}}=0.\mathrm{}$ It also predicts their deviations from 1 and 0.5 respectively for $U_{e3\mathrm{}}\ne 0.$

• Received 30 April 2004

DOI:https://doi.org/10.1103/PhysRevD.70.031901