SO(10) models with A4 modular symmetry
A bstract 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...
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| Veröffentlicht in: | The journal of high energy physics 2021-11, Vol.2021 (11), Article 7 |
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| container_title | The journal of high energy physics |
| container_volume | 2021 |
| creator | Ding, Gui-Jun King, Stephen F. Lu, Jun-Nan |
| description | A
bstract
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 Γ
3
≃
A
4
, with a Higgs sector comprising a single Higgs multiplet
H
in the
10
fundamental representation and one Higgs field
∆
¯
in the
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. |
| doi_str_mv | 10.1007/JHEP11(2021)007 |
| format | Article |
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bstract
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 Γ
3
≃
A
4
, with a Higgs sector comprising a single Higgs multiplet
H
in the
10
fundamental representation and one Higgs field
∆
¯
in the
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.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP11(2021)007</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Beta decay ; Classical and Quantum Gravitation ; Elementary Particles ; Fermions ; Grand unified theory ; High energy physics ; Leptons ; Mathematical models ; Motivation ; Neutrinos ; Numerical analysis ; Parameters ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Quarks ; Regular Article - Theoretical Physics ; Relativity Theory ; Representations ; String Theory ; Symmetry</subject><ispartof>The journal of high energy physics, 2021-11, Vol.2021 (11), Article 7</ispartof><rights>The Author(s) 2021</rights><rights>The Author(s) 2021. This work is published under CC-BY 4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2667-61b00f4ea20b1107cd43a8d7e6b9019e518fb7c5fa21c1d85c1ccc67dfae79bb3</citedby><cites>FETCH-LOGICAL-c2667-61b00f4ea20b1107cd43a8d7e6b9019e518fb7c5fa21c1d85c1ccc67dfae79bb3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/JHEP11(2021)007$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP11(2021)007$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,860,27901,27902,41096,42165,51551</link.rule.ids></links><search><creatorcontrib>Ding, Gui-Jun</creatorcontrib><creatorcontrib>King, Stephen F.</creatorcontrib><creatorcontrib>Lu, Jun-Nan</creatorcontrib><title>SO(10) models with A4 modular symmetry</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
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 Γ
3
≃
A
4
, with a Higgs sector comprising a single Higgs multiplet
H
in the
10
fundamental representation and one Higgs field
∆
¯
in the
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.</description><subject>Beta decay</subject><subject>Classical and Quantum Gravitation</subject><subject>Elementary Particles</subject><subject>Fermions</subject><subject>Grand unified theory</subject><subject>High energy physics</subject><subject>Leptons</subject><subject>Mathematical models</subject><subject>Motivation</subject><subject>Neutrinos</subject><subject>Numerical analysis</subject><subject>Parameters</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Quarks</subject><subject>Regular Article - Theoretical Physics</subject><subject>Relativity Theory</subject><subject>Representations</subject><subject>String Theory</subject><subject>Symmetry</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>BENPR</sourceid><recordid>eNp1kMFLwzAYxYMoOKdnrwVBtkPd96Vt0hzHmE4ZTFDPIUkT3WjXmaxI_3tbKujF0_ce_N774BFyjXCHAHz2tFo-I04oUJx2_oSMEKiI85SL0z_6nFyEsAPADAWMyO3LZoIwjaq6sGWIvrbHj2ie9rYplY9CW1X26NtLcuZUGezVzx2Tt_vl62IVrzcPj4v5OjaUMR4z1AAutYqCRgRuijRRecEt0wJQ2Axzp7nJnKJosMgzg8YYxgunLBdaJ2NyM_QefP3Z2HCUu7rx--6lpJmgnOUJ5R01Gyjj6xC8dfLgt5XyrUSQ_RhyGEP2Y8jOdwkYEqEj9-_W__b-F_kGDUBekw</recordid><startdate>20211102</startdate><enddate>20211102</enddate><creator>Ding, Gui-Jun</creator><creator>King, Stephen F.</creator><creator>Lu, Jun-Nan</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope></search><sort><creationdate>20211102</creationdate><title>SO(10) models with A4 modular symmetry</title><author>Ding, Gui-Jun ; King, Stephen F. ; Lu, Jun-Nan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2667-61b00f4ea20b1107cd43a8d7e6b9019e518fb7c5fa21c1d85c1ccc67dfae79bb3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Beta decay</topic><topic>Classical and Quantum Gravitation</topic><topic>Elementary Particles</topic><topic>Fermions</topic><topic>Grand unified theory</topic><topic>High energy physics</topic><topic>Leptons</topic><topic>Mathematical models</topic><topic>Motivation</topic><topic>Neutrinos</topic><topic>Numerical analysis</topic><topic>Parameters</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Quarks</topic><topic>Regular Article - Theoretical Physics</topic><topic>Relativity Theory</topic><topic>Representations</topic><topic>String Theory</topic><topic>Symmetry</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ding, Gui-Jun</creatorcontrib><creatorcontrib>King, Stephen F.</creatorcontrib><creatorcontrib>Lu, Jun-Nan</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ding, Gui-Jun</au><au>King, Stephen F.</au><au>Lu, Jun-Nan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>SO(10) models with A4 modular symmetry</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2021-11-02</date><risdate>2021</risdate><volume>2021</volume><issue>11</issue><artnum>7</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
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 Γ
3
≃
A
4
, with a Higgs sector comprising a single Higgs multiplet
H
in the
10
fundamental representation and one Higgs field
∆
¯
in the
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.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP11(2021)007</doi><oa>free_for_read</oa></addata></record> |
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| source | DOAJ Directory of Open Access Journals; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection; Springer Nature OA Free Journals |
| subjects | Beta decay Classical and Quantum Gravitation Elementary Particles Fermions Grand unified theory High energy physics Leptons Mathematical models Motivation Neutrinos Numerical analysis Parameters Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Quarks Regular Article - Theoretical Physics Relativity Theory Representations String Theory Symmetry |
| title | SO(10) models with A4 modular symmetry |
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