# 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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