Abstract
We consider a class of SO(10) models with flavor symmetries in the Yukawa sector and investigate their viability by performing numerical fits to the fermion masses and mixing parameters. The fitting procedure involves a top-down approach in which we solve the renormalization group equations from the scale of grand unification down to the electroweak scale. This allows the intermediate scale right-handed neutrinos and scalar triplet, involved in the type I and II seesaw mechanisms, to be integrated out at their corresponding mass scales, leading to a correct renormalization group running. The result is that, of the 14 models considered, only two are able to fit the known data well. Both these two models correspond to ℤ2 symmetries. In addition to being able to fit the fermion masses and mixing parameters, they provide predictions for the sum of light neutrino masses and the effective neutrinoless double beta decay mass parameter, which are both within current observational bounds.
Highlights
In ref. [18], the authors considered all possible flavor symmetries based on phase transformations in the Yukawa sector of a supersymmetric SO(10)-based model with the scalar representations 10H, 126H, and 120H
It is not surprising that models A and B would best be able to accommodate the data, since their Yukawa textures are the least restrictive of all models investigated. This is in agreement with the results of ref. [18], those results were achieved with supersymmetry and with bottom-up RG running
We have analyzed a class of non-supersymmetric SO(10) models with flavor symmetries, following the framework described in ref
Summary
We consider a setup in which the SO(10) Yukawa sector contains scalar fields belonging to the 10H, 126H, and 120H representations. The different models that we investigate correspond to different textures of zeros of these three matrices These textures originate in symmetries under phase transformations of the three fermion generations and the scalars in the Yukawa sector. [16, 28], we do not impose gauge coupling unification, but assume that this is taken care of by some other new physics at an intermediate scale [27, 48,49,50,51,52,53,54,55,56] This will, in general, affect the RG running of the fermion observables through the contributions of the gauge couplings to the RGEs, we assume that this change is negligible to the ability to fit the models. The changes of the RG running due to the new physics that achieves gauge coupling unification is highly dependent on the choice of e.g. intermediate-scale scalar fields and we do not wish to specify any specific model
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