Lepton and quark masses and mixing in a SUSY model with Δ(384) and CP
We construct a supersymmetric model for leptons and quarks with the flavor symmetry Δ(384) and CP. The peculiar features of lepton and quark mixing are accomplished by the stepwise breaking of the flavor and CP symmetry. The correct description of lepton mixing angles requires two steps of symmetry...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2020-04-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321320300390 |
| _version_ | 1818131651859841024 |
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| author | Claudia Hagedorn Johannes König |
| author_facet | Claudia Hagedorn Johannes König |
| author_sort | Claudia Hagedorn |
| collection | DOAJ |
| description | We construct a supersymmetric model for leptons and quarks with the flavor symmetry Δ(384) and CP. The peculiar features of lepton and quark mixing are accomplished by the stepwise breaking of the flavor and CP symmetry. The correct description of lepton mixing angles requires two steps of symmetry breaking, where tri-bimaximal mixing arises after the first step. In the quark sector the Cabibbo angle θC equals sinπ/16≈0.195 after the first step of symmetry breaking and it is brought into full agreement with experimental data after the second step. The two remaining quark mixing angles are generated after the third step of symmetry breaking. All three leptonic CP phases are predicted, sinδl≈−0.936, |sinα|=|sinβ|=1/2. The amount of CP violation in the quark sector turns out to be maximal at the lowest order and is correctly accounted for, when higher order effects are included. Charged fermion masses are reproduced with the help of operators with different numbers of flavor (and CP) symmetry breaking fields. Light neutrino masses, arising from the type-I seesaw mechanism, can accommodate both mass orderings, normal and inverted. The vacuum alignment of the flavor (and CP) symmetry breaking fields is discussed at leading and at higher order. |
| first_indexed | 2024-12-11T08:24:20Z |
| format | Article |
| id | doaj.art-7c08dc7fb13f4b29a95bf7220753e949 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-11T08:24:20Z |
| publishDate | 2020-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-7c08dc7fb13f4b29a95bf7220753e9492022-12-22T01:14:36ZengElsevierNuclear Physics B0550-32132020-04-01953Lepton and quark masses and mixing in a SUSY model with Δ(384) and CPClaudia Hagedorn0Johannes König1Corresponding author.; CP3-Origins, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, DenmarkCP3-Origins, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, DenmarkWe construct a supersymmetric model for leptons and quarks with the flavor symmetry Δ(384) and CP. The peculiar features of lepton and quark mixing are accomplished by the stepwise breaking of the flavor and CP symmetry. The correct description of lepton mixing angles requires two steps of symmetry breaking, where tri-bimaximal mixing arises after the first step. In the quark sector the Cabibbo angle θC equals sinπ/16≈0.195 after the first step of symmetry breaking and it is brought into full agreement with experimental data after the second step. The two remaining quark mixing angles are generated after the third step of symmetry breaking. All three leptonic CP phases are predicted, sinδl≈−0.936, |sinα|=|sinβ|=1/2. The amount of CP violation in the quark sector turns out to be maximal at the lowest order and is correctly accounted for, when higher order effects are included. Charged fermion masses are reproduced with the help of operators with different numbers of flavor (and CP) symmetry breaking fields. Light neutrino masses, arising from the type-I seesaw mechanism, can accommodate both mass orderings, normal and inverted. The vacuum alignment of the flavor (and CP) symmetry breaking fields is discussed at leading and at higher order.http://www.sciencedirect.com/science/article/pii/S0550321320300390 |
| spellingShingle | Claudia Hagedorn Johannes König Lepton and quark masses and mixing in a SUSY model with Δ(384) and CP Nuclear Physics B |
| title | Lepton and quark masses and mixing in a SUSY model with Δ(384) and CP |
| title_full | Lepton and quark masses and mixing in a SUSY model with Δ(384) and CP |
| title_fullStr | Lepton and quark masses and mixing in a SUSY model with Δ(384) and CP |
| title_full_unstemmed | Lepton and quark masses and mixing in a SUSY model with Δ(384) and CP |
| title_short | Lepton and quark masses and mixing in a SUSY model with Δ(384) and CP |
| title_sort | lepton and quark masses and mixing in a susy model with δ 384 and cp |
| url | http://www.sciencedirect.com/science/article/pii/S0550321320300390 |
| work_keys_str_mv | AT claudiahagedorn leptonandquarkmassesandmixinginasusymodelwithd384andcp AT johanneskonig leptonandquarkmassesandmixinginasusymodelwithd384andcp |