Non-holomorphic modular S 4 lepton flavour models
Abstract In the formalism of the non-supersymmetric modular invariance approach to the flavour problem the elements of the Yukawa coupling and fermion mass matrices are expressed in terms of polyharmonic Maaß modular forms of level N in addition to the standard modula forms of the same level and a s...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2025)191 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823863414973267968 |
|---|---|
| author | Gui-Jun Ding Jun-Nan Lu S.T. Petcov Bu-Yao Qu |
| author_facet | Gui-Jun Ding Jun-Nan Lu S.T. Petcov Bu-Yao Qu |
| author_sort | Gui-Jun Ding |
| collection | DOAJ |
| description | Abstract In the formalism of the non-supersymmetric modular invariance approach to the flavour problem the elements of the Yukawa coupling and fermion mass matrices are expressed in terms of polyharmonic Maaß modular forms of level N in addition to the standard modula forms of the same level and a small number of constant parameters. Non-trivial polyharmonic Maaß forms exist for zero, negative and positive integer modular weights. Employing the finite modula group S 4 as a flavour symmetry group and assuming that the three left-handed lepton doublets furnish a triplet irreducible representation of S 4, we construct all possible 7- and 8-parameter lepton flavour models in which the neutrino masses are generated either by the Weinberg effective operator or by the type-I seesaw mechanism. We identify the phenomenologically viable models and obtain predictions for each of these models for the neutrino mass ordering, the absolute neutrino mass scale, the Dirac and Majorana CP-violation phases and, correspondingly, for the sum of neutrino masses and the neutrinoless double beta decay effective Majorana mass. We comment on how these models can be tested and conclude that they are all falsifiable. Detailed analyses are presented in the case of three representative benchmark lepton flavour scenarios. |
| format | Article |
| id | doaj-art-29b4ff5048db42eda65833cf2006c0b2 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-29b4ff5048db42eda65833cf2006c0b22025-02-09T12:08:19ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025116710.1007/JHEP01(2025)191Non-holomorphic modular S 4 lepton flavour modelsGui-Jun Ding0Jun-Nan Lu1S.T. Petcov2Bu-Yao Qu3Department of Modern Physics, University of Science and Technology of ChinaDepartment of Modern Physics, University of Science and Technology of ChinaINFN/SISSADepartment of Modern Physics, University of Science and Technology of ChinaAbstract In the formalism of the non-supersymmetric modular invariance approach to the flavour problem the elements of the Yukawa coupling and fermion mass matrices are expressed in terms of polyharmonic Maaß modular forms of level N in addition to the standard modula forms of the same level and a small number of constant parameters. Non-trivial polyharmonic Maaß forms exist for zero, negative and positive integer modular weights. Employing the finite modula group S 4 as a flavour symmetry group and assuming that the three left-handed lepton doublets furnish a triplet irreducible representation of S 4, we construct all possible 7- and 8-parameter lepton flavour models in which the neutrino masses are generated either by the Weinberg effective operator or by the type-I seesaw mechanism. We identify the phenomenologically viable models and obtain predictions for each of these models for the neutrino mass ordering, the absolute neutrino mass scale, the Dirac and Majorana CP-violation phases and, correspondingly, for the sum of neutrino masses and the neutrinoless double beta decay effective Majorana mass. We comment on how these models can be tested and conclude that they are all falsifiable. Detailed analyses are presented in the case of three representative benchmark lepton flavour scenarios.https://doi.org/10.1007/JHEP01(2025)191CP ViolationDiscrete SymmetriesFlavour SymmetriesNeutrino Mixing |
| spellingShingle | Gui-Jun Ding Jun-Nan Lu S.T. Petcov Bu-Yao Qu Non-holomorphic modular S 4 lepton flavour models Journal of High Energy Physics CP Violation Discrete Symmetries Flavour Symmetries Neutrino Mixing |
| title | Non-holomorphic modular S 4 lepton flavour models |
| title_full | Non-holomorphic modular S 4 lepton flavour models |
| title_fullStr | Non-holomorphic modular S 4 lepton flavour models |
| title_full_unstemmed | Non-holomorphic modular S 4 lepton flavour models |
| title_short | Non-holomorphic modular S 4 lepton flavour models |
| title_sort | non holomorphic modular s 4 lepton flavour models |
| topic | CP Violation Discrete Symmetries Flavour Symmetries Neutrino Mixing |
| url | https://doi.org/10.1007/JHEP01(2025)191 |
| work_keys_str_mv | AT guijunding nonholomorphicmodulars4leptonflavourmodels AT junnanlu nonholomorphicmodulars4leptonflavourmodels AT stpetcov nonholomorphicmodulars4leptonflavourmodels AT buyaoqu nonholomorphicmodulars4leptonflavourmodels |