Modular S 4 models of lepton masses and mixing
Abstract We investigate models of charged lepton and neutrino masses and lepton mixing based on broken modular symmetry. The matter fields in these models are assumed to transform in irreducible representations of the finite modular group Γ4 ≃ S 4. We analyse the minimal scenario in which the only s...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP04(2019)005 |
| _version_ | 1828156321149485056 |
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| author | P. P. Novichkov J. T. Penedo S. T. Petcov A. V. Titov |
| author_facet | P. P. Novichkov J. T. Penedo S. T. Petcov A. V. Titov |
| author_sort | P. P. Novichkov |
| collection | DOAJ |
| description | Abstract We investigate models of charged lepton and neutrino masses and lepton mixing based on broken modular symmetry. The matter fields in these models are assumed to transform in irreducible representations of the finite modular group Γ4 ≃ S 4. We analyse the minimal scenario in which the only source of symmetry breaking is the vacuum expectation value of the modulus field. In this scenario there is no need to introduce flavon fields. Using the basis for the lowest weight modular forms found earlier, we build minimal phenomenologically viable models in which the neutrino masses are generated via the type I seesaw mechanism. While successfully accommodating charged lepton masses, neutrino mixing angles and mass-squared differences, these models predict the values of the lightest neutrino mass (i.e., the absolute neutrino mass scale), of the Dirac and Majorana CP violation (CPV) phases, as well as specific correlations between the values of the atmospheric neutrino mixing parameter sin2 θ 23 and i) the Dirac CPV phase δ, ii) the sum of the neutrino masses, and iii) the effective Majorana mass in neutrinoless double beta decay. We consider also the case of residual symmetries ℤ 3 ST and ℤ 2 S respectively in the charged lepton and neutrino sectors, corresponding to specific vacuum expectation values of the modulus. |
| first_indexed | 2024-04-11T23:08:58Z |
| format | Article |
| id | doaj.art-aff2ff76bdcc40fc8a8fe437c90d9fbc |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T23:08:58Z |
| publishDate | 2019-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-aff2ff76bdcc40fc8a8fe437c90d9fbc2022-12-22T03:57:54ZengSpringerOpenJournal of High Energy Physics1029-84792019-04-012019414110.1007/JHEP04(2019)005Modular S 4 models of lepton masses and mixingP. P. Novichkov0J. T. Penedo1S. T. Petcov2A. V. Titov3SISSA/INFNSISSA/INFNSISSA/INFNInstitute for Particle Physics Phenomenology, Department of Physics, Durham UniversityAbstract We investigate models of charged lepton and neutrino masses and lepton mixing based on broken modular symmetry. The matter fields in these models are assumed to transform in irreducible representations of the finite modular group Γ4 ≃ S 4. We analyse the minimal scenario in which the only source of symmetry breaking is the vacuum expectation value of the modulus field. In this scenario there is no need to introduce flavon fields. Using the basis for the lowest weight modular forms found earlier, we build minimal phenomenologically viable models in which the neutrino masses are generated via the type I seesaw mechanism. While successfully accommodating charged lepton masses, neutrino mixing angles and mass-squared differences, these models predict the values of the lightest neutrino mass (i.e., the absolute neutrino mass scale), of the Dirac and Majorana CP violation (CPV) phases, as well as specific correlations between the values of the atmospheric neutrino mixing parameter sin2 θ 23 and i) the Dirac CPV phase δ, ii) the sum of the neutrino masses, and iii) the effective Majorana mass in neutrinoless double beta decay. We consider also the case of residual symmetries ℤ 3 ST and ℤ 2 S respectively in the charged lepton and neutrino sectors, corresponding to specific vacuum expectation values of the modulus.http://link.springer.com/article/10.1007/JHEP04(2019)005Beyond Standard ModelDiscrete SymmetriesNeutrino PhysicsCP violation |
| spellingShingle | P. P. Novichkov J. T. Penedo S. T. Petcov A. V. Titov Modular S 4 models of lepton masses and mixing Journal of High Energy Physics Beyond Standard Model Discrete Symmetries Neutrino Physics CP violation |
| title | Modular S 4 models of lepton masses and mixing |
| title_full | Modular S 4 models of lepton masses and mixing |
| title_fullStr | Modular S 4 models of lepton masses and mixing |
| title_full_unstemmed | Modular S 4 models of lepton masses and mixing |
| title_short | Modular S 4 models of lepton masses and mixing |
| title_sort | modular s 4 models of lepton masses and mixing |
| topic | Beyond Standard Model Discrete Symmetries Neutrino Physics CP violation |
| url | http://link.springer.com/article/10.1007/JHEP04(2019)005 |
| work_keys_str_mv | AT ppnovichkov modulars4modelsofleptonmassesandmixing AT jtpenedo modulars4modelsofleptonmassesandmixing AT stpetcov modulars4modelsofleptonmassesandmixing AT avtitov modulars4modelsofleptonmassesandmixing |