Predictions from scoto-seesaw with $A_4$ modular symmetry
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866929325891125248 |
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| author | Kumar, Ranjeet Mishra, Priya Behera, Mitesh Kumar Mohanta, Rukmani Srivastava, Rahul |
| author_facet | Kumar, Ranjeet Mishra, Priya Behera, Mitesh Kumar Mohanta, Rukmani Srivastava, Rahul |
| contents | This paper's novelty lies in introducing a hybrid scoto-seesaw model rooted in $A_4$ discrete modular symmetry leading to several interesting phenomenological implications. The scoto-seesaw framework leads to generation of one mass square difference $( Δm^2_{\rm atm}$) using the type-I seesaw mechanism at the tree level. Additionally, the scotogenic contribution is vital in obtaining the other mass square difference ($Δm^2 _{\rm sol}$) at the loop level, thus providing a clear interpretation of the two different mass square differences. The non-trivial transformation of Yukawa couplings under the $A_4$ modular symmetry helps to explore neutrino phenomenology with a specific flavor structure of the mass matrix. In addition to predictions for neutrino mass ordering, mixing angles and CP phases, this setup leads to precise predictions for $\sum m_i$ as well as $|m_{ee}|$. In particular, the model predicts $\sum m_i \in (0.073,0.097)$ eV and $\left| m_{ee}\right| \in (3.15,6.66)\times 10^{-3} $ eV range; within reach of upcoming experiments. Furthermore, our model is also promising for addressing lepton flavor violations, i.e., $\ell_α\to \ell_βγ$, $\ell_α\to 3\ell_β$ and $μ- e $ conversion rates while staying within the realm of current experimental limits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_02363 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Predictions from scoto-seesaw with $A_4$ modular symmetry Kumar, Ranjeet Mishra, Priya Behera, Mitesh Kumar Mohanta, Rukmani Srivastava, Rahul High Energy Physics - Phenomenology High Energy Physics - Experiment This paper's novelty lies in introducing a hybrid scoto-seesaw model rooted in $A_4$ discrete modular symmetry leading to several interesting phenomenological implications. The scoto-seesaw framework leads to generation of one mass square difference $( Δm^2_{\rm atm}$) using the type-I seesaw mechanism at the tree level. Additionally, the scotogenic contribution is vital in obtaining the other mass square difference ($Δm^2 _{\rm sol}$) at the loop level, thus providing a clear interpretation of the two different mass square differences. The non-trivial transformation of Yukawa couplings under the $A_4$ modular symmetry helps to explore neutrino phenomenology with a specific flavor structure of the mass matrix. In addition to predictions for neutrino mass ordering, mixing angles and CP phases, this setup leads to precise predictions for $\sum m_i$ as well as $|m_{ee}|$. In particular, the model predicts $\sum m_i \in (0.073,0.097)$ eV and $\left| m_{ee}\right| \in (3.15,6.66)\times 10^{-3} $ eV range; within reach of upcoming experiments. Furthermore, our model is also promising for addressing lepton flavor violations, i.e., $\ell_α\to \ell_βγ$, $\ell_α\to 3\ell_β$ and $μ- e $ conversion rates while staying within the realm of current experimental limits. |
| title | Predictions from scoto-seesaw with $A_4$ modular symmetry |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2310.02363 |