SO(10) models with A 4 modular symmetry
Autor: | Gui-Jun Ding, Stephen F. King, Jun-Nan Lu |
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Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: |
Nuclear and High Energy Physics
Particle physics FOS: Physical sciences Discrete Symmetries Minimal models QC770-798 Type (model theory) 01 natural sciences Higgs sector High Energy Physics - Phenomenology (hep-ph) Nuclear and particle physics. Atomic energy. Radioactivity 0103 physical sciences GUT 010306 general physics Multiplet Physics 010308 nuclear & particles physics High Energy Physics::Phenomenology Order (ring theory) Higgs field High Energy Physics - Phenomenology CP violation Beyond Standard Model Higgs boson High Energy Physics::Experiment SO(10) |
Zdroj: | Journal of High Energy Physics Journal of High Energy Physics, Vol 2021, Iss 11, Pp 1-42 (2021) |
Popis: | We combine $SO(10)$ Grand Unified Theories (GUTs) with $A_4$ modular symmetry and present a comprehensive analysis of the resulting quark and lepton mass matrices for all the simplest cases. We focus on the case where the three fermion families in the 16 dimensional spinor representation form a triplet of $\Gamma_3\simeq A_4$, with a Higgs sector comprising a single Higgs multiplet $H$ in the ${\mathbf{10}}$ fundamental representation and one Higgs field $\overline{\Delta}$ in the ${\mathbf{\overline{126}}}$ for the minimal models, plus and one Higgs field $\Sigma$ in the ${\mathbf{120}}$ for the non-minimal models, all with specified modular weights. The neutrino masses are generated by the type-I and/or type II seesaw mechanisms and results are presented for each model following an intensive numerical analysis where we have optimized the free parameters of the models in order to match the experimental data. For the phenomenologically successful models, we present the best fit results in numerical tabular form as well as showing the most interesting graphical correlations between parameters, including leptonic CP phases and neutrinoless double beta decay, which have yet to be measured, leading to definite predictions for each of the models. Comment: 36 pages, 10 figures |
Databáze: | OpenAIRE |
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