Modulus τ linking leptonic CP violation to baryon asymmetry in A 4 modular invariant flavor model
Abstract We propose an A 4 modular invariant flavor model of leptons, in which both CP and modular symmetries are broken spontaneously by the vacuum expectation value of the modulus τ. The value of the modulus τ is restricted by the observed lepton mixing angles and lepton masses for the normal hier...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2021)184 |
| _version_ | 1818440465919246336 |
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| author | Hiroshi Okada Yusuke Shimizu Morimitsu Tanimoto Takahiro Yoshida |
| author_facet | Hiroshi Okada Yusuke Shimizu Morimitsu Tanimoto Takahiro Yoshida |
| author_sort | Hiroshi Okada |
| collection | DOAJ |
| description | Abstract We propose an A 4 modular invariant flavor model of leptons, in which both CP and modular symmetries are broken spontaneously by the vacuum expectation value of the modulus τ. The value of the modulus τ is restricted by the observed lepton mixing angles and lepton masses for the normal hierarchy of neutrino masses. The predictive Dirac CP phase δ CP is in the ranges [0°, 50°], [170°, 175°] and [280°, 360°] for Re [τ] < 0, and [0°, 80°], [185°, 190°] and [310°, 360°] for Re [τ] > 0. The sum of three neutrino masses is predicted in [60, 84] meV, and the effective mass for the 0νββ decay is in [0.003, 3] meV. The modulus τ links the Dirac CP phase to the cosmological baryon asymmetry (BAU) via the leptogenesis. Due to the strong wash-out effect, the predictive baryon asymmetry Y B can be at most the same order of the observed value. Then, the lightest right-handed neutrino mass is restricted in the range of M 1 = [1.5, 6.5] × 1013 GeV. We find the correlation between the predictive Y B and the Dirac CP phase δ CP . Only two predictive δ CP ranges, [5°, 40°] (Re [τ] > 0) and [320°, 355°] (Re [τ] < 0) are consistent with the BAU. |
| first_indexed | 2024-12-14T18:12:48Z |
| format | Article |
| id | doaj.art-d6d4d6d9dbd24df2bfaabfa2d6bf09c4 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T18:12:48Z |
| publishDate | 2021-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d6d4d6d9dbd24df2bfaabfa2d6bf09c42022-12-21T22:52:15ZengSpringerOpenJournal of High Energy Physics1029-84792021-07-012021713510.1007/JHEP07(2021)184Modulus τ linking leptonic CP violation to baryon asymmetry in A 4 modular invariant flavor modelHiroshi Okada0Yusuke Shimizu1Morimitsu Tanimoto2Takahiro Yoshida3Asia Pacific Center for Theoretical PhysicsPhysics Program, Graduate School of Advanced Science and Engineering, Hiroshima UniversityDepartment of Physics, Niigata UniversityDepartment of Physics, Niigata UniversityAbstract We propose an A 4 modular invariant flavor model of leptons, in which both CP and modular symmetries are broken spontaneously by the vacuum expectation value of the modulus τ. The value of the modulus τ is restricted by the observed lepton mixing angles and lepton masses for the normal hierarchy of neutrino masses. The predictive Dirac CP phase δ CP is in the ranges [0°, 50°], [170°, 175°] and [280°, 360°] for Re [τ] < 0, and [0°, 80°], [185°, 190°] and [310°, 360°] for Re [τ] > 0. The sum of three neutrino masses is predicted in [60, 84] meV, and the effective mass for the 0νββ decay is in [0.003, 3] meV. The modulus τ links the Dirac CP phase to the cosmological baryon asymmetry (BAU) via the leptogenesis. Due to the strong wash-out effect, the predictive baryon asymmetry Y B can be at most the same order of the observed value. Then, the lightest right-handed neutrino mass is restricted in the range of M 1 = [1.5, 6.5] × 1013 GeV. We find the correlation between the predictive Y B and the Dirac CP phase δ CP . Only two predictive δ CP ranges, [5°, 40°] (Re [τ] > 0) and [320°, 355°] (Re [τ] < 0) are consistent with the BAU.https://doi.org/10.1007/JHEP07(2021)184Neutrino PhysicsCosmology of Theories beyond the SMCP violation |
| spellingShingle | Hiroshi Okada Yusuke Shimizu Morimitsu Tanimoto Takahiro Yoshida Modulus τ linking leptonic CP violation to baryon asymmetry in A 4 modular invariant flavor model Journal of High Energy Physics Neutrino Physics Cosmology of Theories beyond the SM CP violation |
| title | Modulus τ linking leptonic CP violation to baryon asymmetry in A 4 modular invariant flavor model |
| title_full | Modulus τ linking leptonic CP violation to baryon asymmetry in A 4 modular invariant flavor model |
| title_fullStr | Modulus τ linking leptonic CP violation to baryon asymmetry in A 4 modular invariant flavor model |
| title_full_unstemmed | Modulus τ linking leptonic CP violation to baryon asymmetry in A 4 modular invariant flavor model |
| title_short | Modulus τ linking leptonic CP violation to baryon asymmetry in A 4 modular invariant flavor model |
| title_sort | modulus τ linking leptonic cp violation to baryon asymmetry in a 4 modular invariant flavor model |
| topic | Neutrino Physics Cosmology of Theories beyond the SM CP violation |
| url | https://doi.org/10.1007/JHEP07(2021)184 |
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