F-theory and Neutrinos: Kaluza-Klein Dilution of Flavor Hierarchy
| Title: | F-theory and Neutrinos: Kaluza-Klein Dilution of Flavor Hierarchy |
| Author: |
Bouchard, Vincent; Heckman, Jonathan; Seo, Jihye; Vafa, C.
Note: Order does not necessarily reflect citation order of authors. |
| Citation: | Bouchard, Vincent, Jonathan Heckman, Jihye Seo, and Cumrun Vafa. 2010. F-theory and neutrinos: Kaluza-Klein dilution of flavor hierarchy. Journal of High Energy Physics 2010(1): 061. |
| Full Text & Related Files: |
0904.1419v2.pdf (1.123Mb; PDF) 
|
| Abstract: | We study minimal implementations of Majorana and Dirac neutrino scenarios in F-theory GUT models. In both cases the mass scale of the neutrinos \(m_{\nu} \sim M_{weak}^2/\land_{UV}\) arises from integrating out Kaluza-Klein modes, where \(\land_{UV}\) is close to the GUT scale. The participation of non-holomorphic Kaluza-Klein mode wave functions dilutes the mass hierarchy in comparison to the quark and charged lepton sectors, in agreement with experimentally measured mass splittings. The neutrinos are predicted to exhibit a "normal" mass hierarchy, with masses \(m_3,m_2,m_1 \sim .05 \times (1,\alpha_{GUT}^{1/2},\alpha_{GUT}\)) eV. When the interactions of the neutrino and charged lepton sectors geometrically unify, the neutrino mixing matrix exhibits a mild hierarchical structure such that the mixing angles \(\theta_{23}\) and \(\theta_{12}\) are large and comparable, while \(\theta_{13}\) is expected to be smaller and close to the Cabibbo angle: \(\theta_{13} \sim \theta_{C} \sim \alpha_{GUT}^{1/2} \sim 0.2\). This suggests that \(\theta_{13}\) should be near the current experimental upper bound. |
| Published Version: | doi:10.1007/JHEP01(2010)061 |
| Other Sources: | http://arxiv.org/PS_cache/arxiv/pdf/0904/0904.1419v2.pdf |
| Terms of Use: | This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP |
| Citable link to this page: | http://nrs.harvard.edu/urn-3:HUL.InstRepos:7561193 |
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