Phenomenology of Inverse Seesaw Using $S_3$ Modular Symmetry
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| Format: | Preprint |
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2025
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| _version_ | 1866912354342535168 |
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| author | Behera, Mitesh Kumar Ittisamai, Pawin Pongkitivanichkul, Chakrit Uttayarat, Patipan |
| author_facet | Behera, Mitesh Kumar Ittisamai, Pawin Pongkitivanichkul, Chakrit Uttayarat, Patipan |
| contents | Describing neutrino masses using the inverse seesaw mechanism with discrete flavor symmetry imposed through modular forms provides a testable framework at TeV scales with fewer parameters. However, $S_3$, the smallest modular group, remains relatively underexplored. In this work, we construct the minimal supersymmetric inverse seesaw model based on the modular $S_3$ flavor symmetry. In our model, the light neutrino mass matrix depends on 6 real parameters: the complex modulus, an overall scale for light neutrino mass, a real ratio and a complex ratio of Yukawa coupling. Thanks to its minimality, our model offers various definite predictions: the lightest neutrino is massless, the neutrino masses are inverted ordering, the sum of the three light neutrino masses ($\sum_i m_i$) is 100 meV, the effective mass for the end point of the beta decay spectrum is 50 meV, the effective mass for neutrinoless double beta decay ($m_{ee}$) is in the range $38-58$ meV. In particular, the predicted values for $\sum_i m_i$ and $m_{ee}$ from our model are within reach of the next generation experiments. Our model also predicts radiative lepton flavor violating decays $\ell\to\ell'γ$ which are compatible with experimental constraints. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_12954 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phenomenology of Inverse Seesaw Using $S_3$ Modular Symmetry Behera, Mitesh Kumar Ittisamai, Pawin Pongkitivanichkul, Chakrit Uttayarat, Patipan High Energy Physics - Phenomenology Describing neutrino masses using the inverse seesaw mechanism with discrete flavor symmetry imposed through modular forms provides a testable framework at TeV scales with fewer parameters. However, $S_3$, the smallest modular group, remains relatively underexplored. In this work, we construct the minimal supersymmetric inverse seesaw model based on the modular $S_3$ flavor symmetry. In our model, the light neutrino mass matrix depends on 6 real parameters: the complex modulus, an overall scale for light neutrino mass, a real ratio and a complex ratio of Yukawa coupling. Thanks to its minimality, our model offers various definite predictions: the lightest neutrino is massless, the neutrino masses are inverted ordering, the sum of the three light neutrino masses ($\sum_i m_i$) is 100 meV, the effective mass for the end point of the beta decay spectrum is 50 meV, the effective mass for neutrinoless double beta decay ($m_{ee}$) is in the range $38-58$ meV. In particular, the predicted values for $\sum_i m_i$ and $m_{ee}$ from our model are within reach of the next generation experiments. Our model also predicts radiative lepton flavor violating decays $\ell\to\ell'γ$ which are compatible with experimental constraints. |
| title | Phenomenology of Inverse Seesaw Using $S_3$ Modular Symmetry |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2504.12954 |