F-theory and neutrinos: Kaluza-Klein dilution of flavor hierarchy

作者:Bouchard Vincent*; Heckman Jonathan J; Seo Jihye; Vafa Cumrun
来源:The Journal of High Energy Physics, 2010, 2010(1): 061.
DOI:10.1007/JHEP01(2010)061

摘要

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) similar to M-weak(2)/Lambda(UV) arises from integrating out Kaluza-Klein modes, where Lambda(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)) similar to .05 x (1, alpha(1/2)(GUT), 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

  • 出版日期2010-1