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