Lepton flavor model with modular A4 symmetry in large volume limit
We consider the modular symmetry associated with the compactification of extra dimensions as the flavor symmetry on lepton sector. Especially, we propose a model based on the modular A4 symmetry with three right-handed neutrinos and a gauge singlet Higgs, which works well in the so-called large volu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2020-12-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269320307590 |
| _version_ | 1819315526825934848 |
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| author | Takehiko Asaka Yongtae Heo Takahiro Yoshida |
| author_facet | Takehiko Asaka Yongtae Heo Takahiro Yoshida |
| author_sort | Takehiko Asaka |
| collection | DOAJ |
| description | We consider the modular symmetry associated with the compactification of extra dimensions as the flavor symmetry on lepton sector. Especially, we propose a model based on the modular A4 symmetry with three right-handed neutrinos and a gauge singlet Higgs, which works well in the so-called large volume limit of the extra dimensions, i.e., Imτ→∞ for a modulus τ. The right-handed neutrinos are introduced to realize the seesaw mechanism for tiny neutrino masses observed in oscillation experiments. The vacuum expectation value of the singlet Higgs gives the Majorana masses for right-handed neutrinos and the μ-term for Higgs fields. The model can explain the observed masses and mixing angles of neutrinos successfully. We find that one of the mixing angles should be in the range sin2θ23≥0.58. Importantly, the CP violating phases of neutrinos are predicted in the two restricted regions. One is that the Dirac phase is δCP≃−0.5π and the Majorana phases are α21≃0 and α31≃π. The other is δCP≃+0.5π, α21≃2π and α31≃π. The effective neutrino mass in the neutrinoless double beta decay is found to be meff=0.037–0.047 eV. These predictions will be tested in the future neutrino experiments. |
| first_indexed | 2024-12-24T10:01:31Z |
| format | Article |
| id | doaj.art-99c0940c51dc464c9edabf2231268262 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-24T10:01:31Z |
| publishDate | 2020-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-99c0940c51dc464c9edabf22312682622022-12-21T17:01:01ZengElsevierPhysics Letters B0370-26932020-12-01811135956Lepton flavor model with modular A4 symmetry in large volume limitTakehiko Asaka0Yongtae Heo1Takahiro Yoshida2Department of Physics, Niigata University, Niigata 950-2181, JapanGraduate School of Science and Technology, Niigata University, 950-2181 Niigata, JapanGraduate School of Science and Technology, Niigata University, 950-2181 Niigata, Japan; Corresponding author.We consider the modular symmetry associated with the compactification of extra dimensions as the flavor symmetry on lepton sector. Especially, we propose a model based on the modular A4 symmetry with three right-handed neutrinos and a gauge singlet Higgs, which works well in the so-called large volume limit of the extra dimensions, i.e., Imτ→∞ for a modulus τ. The right-handed neutrinos are introduced to realize the seesaw mechanism for tiny neutrino masses observed in oscillation experiments. The vacuum expectation value of the singlet Higgs gives the Majorana masses for right-handed neutrinos and the μ-term for Higgs fields. The model can explain the observed masses and mixing angles of neutrinos successfully. We find that one of the mixing angles should be in the range sin2θ23≥0.58. Importantly, the CP violating phases of neutrinos are predicted in the two restricted regions. One is that the Dirac phase is δCP≃−0.5π and the Majorana phases are α21≃0 and α31≃π. The other is δCP≃+0.5π, α21≃2π and α31≃π. The effective neutrino mass in the neutrinoless double beta decay is found to be meff=0.037–0.047 eV. These predictions will be tested in the future neutrino experiments.http://www.sciencedirect.com/science/article/pii/S0370269320307590 |
| spellingShingle | Takehiko Asaka Yongtae Heo Takahiro Yoshida Lepton flavor model with modular A4 symmetry in large volume limit Physics Letters B |
| title | Lepton flavor model with modular A4 symmetry in large volume limit |
| title_full | Lepton flavor model with modular A4 symmetry in large volume limit |
| title_fullStr | Lepton flavor model with modular A4 symmetry in large volume limit |
| title_full_unstemmed | Lepton flavor model with modular A4 symmetry in large volume limit |
| title_short | Lepton flavor model with modular A4 symmetry in large volume limit |
| title_sort | lepton flavor model with modular a4 symmetry in large volume limit |
| url | http://www.sciencedirect.com/science/article/pii/S0370269320307590 |
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