## Soft A _{4}→Z _{3} symmetry breaking and cobimaximal neutrino mixing

In this study, I propose a model of radiative charged-lepton and neutrino masses with A

_{4}symmetry. The soft breaking of A_{4}to Z_{3}lepton triality is accomplished by dimension-three terms. The breaking of Z_{3}by dimension-two terms allows cobimaximal neutrino mixing (θ_{13}≠ 0, θ_{23}= π/4, δ_{cp}=π/2) to be realized with only very small finite calculable deviations from the residual Z_{3}lepton triality. This construction solves a long-standing technical problem inherent in renormalizable A_{4}models since their inception.
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