Equal Majorana Phases from a Minimal and Predictive Neutrino Texture
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866910176546652160 |
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| author | Goswami, Sagar Tirtha Chakraborty, Pralay Roy, Subhankar |
| author_facet | Goswami, Sagar Tirtha Chakraborty, Pralay Roy, Subhankar |
| contents | We propose a new, minimal Majorana neutrino mass matrix texture and study its predictions within a partial tri-bimaximal (TBM) mixing scheme, where $\sinθ_{12} = 1/\sqrt{3}$ and $\sinθ_{23} = 1/\sqrt{2}$, with $θ_{13}$ and $δ$ treated as free parameters. The texture forbids $θ_{13} = 0$ and does not correspond to a $μ-τ$ symmetric structure. As a notable feature, the texture predicts the equality of the Majorana phases. In addition, we find that the predictions show distinct behavior depending on the sign of a single real texture parameter. The texture is realized through a hybrid framework of one Type-I seesaw and two Type-II seesaw mechanisms under an extended symmetry group, $SU(2)_L \otimes U(1)_Y \otimes A_4 \otimes Z_{10} \otimes Z_{7}$ with properly chosen model parameters. The texture is seen to favor the normal hierarchy for neutrino masses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_02358 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Equal Majorana Phases from a Minimal and Predictive Neutrino Texture Goswami, Sagar Tirtha Chakraborty, Pralay Roy, Subhankar High Energy Physics - Phenomenology We propose a new, minimal Majorana neutrino mass matrix texture and study its predictions within a partial tri-bimaximal (TBM) mixing scheme, where $\sinθ_{12} = 1/\sqrt{3}$ and $\sinθ_{23} = 1/\sqrt{2}$, with $θ_{13}$ and $δ$ treated as free parameters. The texture forbids $θ_{13} = 0$ and does not correspond to a $μ-τ$ symmetric structure. As a notable feature, the texture predicts the equality of the Majorana phases. In addition, we find that the predictions show distinct behavior depending on the sign of a single real texture parameter. The texture is realized through a hybrid framework of one Type-I seesaw and two Type-II seesaw mechanisms under an extended symmetry group, $SU(2)_L \otimes U(1)_Y \otimes A_4 \otimes Z_{10} \otimes Z_{7}$ with properly chosen model parameters. The texture is seen to favor the normal hierarchy for neutrino masses. |
| title | Equal Majorana Phases from a Minimal and Predictive Neutrino Texture |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2303.02358 |