Majorana neutrino masses by D-brane instanton effects in magnetized orbifold models
Autor: | Hoshiya, Kouki, Kikuchi, Shota, Kobayashi, Tatsuo, Nasu, Kaito, Uchida, Hikaru, Uemura, Shohei |
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Rok vydání: | 2021 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | We study Majorana neutrino masses induced by D-brane instanton effects in magnetized orbifold models. We classify possible cases, where neutrino masses can be induced. Three and four generations are favored in order to generate neutrino masses by D-brane instantons. Explicit mass matrices have specific features. Their diagonalizing matrices correspond to the bimaximal mixing matrix in the case with even magnetic fluxes, independently of the modulus value $\tau$. On the other hand, for odd magnetic fluxes, diagonalizing matrices correspond nearly to the tri-bimaximal mixing matrix near $\tau =i$, while they become the bimaximal mixing matrix for larger ${\rm Im}\tau$. For even fluxes, neutrino masses are modular forms of the weight 1 on $T^2/\mathbb{Z}_2$, and they have symmetries such as $S_4'$ and ${\Delta'}(96)\times \mathbb{Z}_3$. Comment: 32 pages, 8 figures |
Databáze: | arXiv |
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