SO(10) models with A 4 modular symmetry

Abstract 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...

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Autores principales:	Gui-Jun Ding, Stephen F. King, Jun-Nan Lu
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Beyond Standard Model CP violation Discrete Symmetries GUT Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/6cc7a3e08cac4d11a844ba42bf879d10
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spelling	oai:doaj.org-article:6cc7a3e08cac4d11a844ba42bf879d102021-11-08T11:16:15ZSO(10) models with A 4 modular symmetry10.1007/JHEP11(2021)0071029-8479https://doaj.org/article/6cc7a3e08cac4d11a844ba42bf879d102021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)007https://doaj.org/toc/1029-8479Abstract 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 Γ3 ≃ A 4, with a Higgs sector comprising a single Higgs multiplet H in the 10 fundamental representation and one Higgs field ∆ ¯ $$ \overline{\Delta } $$ in the 126 ¯ $$ \overline{\mathbf{126}} $$ for the minimal models, plus one Higgs field Σ in the 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.Gui-Jun DingStephen F. KingJun-Nan LuSpringerOpenarticleBeyond Standard ModelCP violationDiscrete SymmetriesGUTNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-42 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Beyond Standard Model CP violation Discrete Symmetries GUT Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Beyond Standard Model CP violation Discrete Symmetries GUT Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Gui-Jun Ding Stephen F. King Jun-Nan Lu SO(10) models with A 4 modular symmetry
description	Abstract 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 Γ3 ≃ A 4, with a Higgs sector comprising a single Higgs multiplet H in the 10 fundamental representation and one Higgs field ∆ ¯ $$ \overline{\Delta } $$ in the 126 ¯ $$ \overline{\mathbf{126}} $$ for the minimal models, plus one Higgs field Σ in the 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.
format	article
author	Gui-Jun Ding Stephen F. King Jun-Nan Lu
author_facet	Gui-Jun Ding Stephen F. King Jun-Nan Lu
author_sort	Gui-Jun Ding
title	SO(10) models with A 4 modular symmetry
title_short	SO(10) models with A 4 modular symmetry
title_full	SO(10) models with A 4 modular symmetry
title_fullStr	SO(10) models with A 4 modular symmetry
title_full_unstemmed	SO(10) models with A 4 modular symmetry
title_sort	so(10) models with a 4 modular symmetry
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/6cc7a3e08cac4d11a844ba42bf879d10
work_keys_str_mv	AT guijunding so10modelswitha4modularsymmetry AT stephenfking so10modelswitha4modularsymmetry AT junnanlu so10modelswitha4modularsymmetry
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SO(10) models with A 4 modular symmetry

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