Abstract
We construct a supersymmetric $S_4$ flavor symmetry model with one of the trimaximal neutrino mixing patterns, the so-called 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.
Highlights
Discrete flavor symmetry is often introduced in order to naturally explain the observed patterns of neutrino masses and mixings [1,2]
We study an S4 model in this paper, our mechanism is universal and can be applied to many flavor models based on discrete flavor symmetry
The idea is that the flavons, which are Higgs fields responsible for the spontaneous breaking of flavor symmetry, are stabilized by higher-dimensional potential balanced by tachyonic supersymmetry (SUSY) breaking mass terms
Summary
Discrete flavor symmetry is often introduced in order to naturally explain the observed patterns of neutrino masses and mixings [1,2]. Models based on the S4 flavor symmetry can lead to the so-called trimaximal neutrino mixings [28,29,30,31,32,33,34,35,36,37,38,39]. Certain structure of the flavon VEVs may lead to one of the trimaximal patterns, the so-called TM1, which is consistent with current observations [8,38].
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