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In a simple framework which naturally incorporates dark matter stability andneutrino phenomenology, we compute all the possible texture zeros which arisewhen the non-abelian flavor symmetry A4 is spontaneously broken to Z2. As aresult, we obtain four textures with two vanishing matrix elements. Two of suchtextures predict a zero contribution to the neutrinoless double beta decayeffective mass parameter at tree level, and as a one loop bound we get$m_{ee}<8\times 10^{-2}$ meV. These are compatible with the normal ordering forthe neutrino masses and the allowed range for the lightest neutrino mass isbetween $m_{\nu_{min}}\sim3$ meV and $m_{\nu_{max}}\sim8$ meV. Additionally weobtain dark matter stability linked to the way the flavor symmetry is broken,leaving a residual Z2 symmetry

Simple A4 models for dark matter stability with texture zeros