2009/04/30 by Vincent Bouchard, Jonathan J. Heckman, Jihye Seo +1
Physics and Astronomy · #Lepton #MAJORANA #Mass matrix #Matrix (chemical analysis) #Mixing (physics) #Mixing patterns #Neutrino #Neutrino Physics Research #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Pontecorvo–Maki–Nakagawa–Sakata matrix #Quark #hep-ex #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep01(2010)061
published as JHEP 01 (2010) 061 · v2: 83 pages, 10 figures, references added
openalex publication_date 2010/01/01 · arxiv created 2010/02/24 · arxiv updated 2010/02/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study minimal implementations of Majorana and Dirac neutrino scenarios in F-theory GUT models. In both cases the mass scale of the neutrinos mnu ~ (Mweak)2/MUV arises from integrating out Kaluza-Klein modes, where MUV 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 m3,m2,m1 ~ .05*(1,(alphaGUT)^(1/2),alphaGUT) 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 theta23 and theta12 are large and comparable, while theta13 is expected to be smaller and close to the Cabibbo angle: theta13 ~ thetaC ~ (alphaGUT)^(1/2) ~ 0.2. This suggests that theta13 should be near the current experimental upper bound.