We construct a supersymmetric $S_4$ flavor symmetry model with one of the trimaximal neutrino mixing patterns, the so-called ${\mathrm{TM}}_1$, by using the novel way to stabilize flavons, which we proposed recently. The flavons are assumed to have tachyonic supersymmetry breaking mass terms and stabilized by higher-dimensional terms in the potential. We can obtain the desired alignment structure of the flavon vacuum expectation values to realize neutrino masses and mixings consistent with the current observations. This mechanism naturally avoids the appearance of dangerous cosmological domain walls. Although we study an $S_4$ model in this paper, our mechanism is universal and can be applied to many flavor models based on discrete flavor symmetry.

• Received 7 June 2019

DOI:https://doi.org/10.1103/PhysRevD.100.015030

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Published by the American Physical Society