Right-handed Neutrinos in F-theory Compactifications
arXiv:0905.2289 · doi:10.1016/j.nuclphysb.2009.07.020
Abstract
F-theory is one of the frameworks where up-type Yukawa couplings of SU(5) unified theories are naturally generated. As charged matter fields have localized zero modes in F-theory, a study of flavor structure could be easier in F-theory than in Heterotic string theory. In a study of flavor structure in the lepton sector, however, an important role is played by right-handed neutrinos, which are not charged under the SU(5) unified gauge group. It is therefore solicited to find out what right-handed neutrinos are in F-theory compactifications and how their Majorana mass terms are generated together with developing a theoretical framework where effective Yukawa couplings involving both SU(5)-neutral and charged fields can be calculated. We find that the complex structure moduli chiral multiplets of F-theory compactifications are good candidates to be right-handed neutrinos, and that their Majorana masses are automatically generated in flux compactifications. The mass scale is predicted to be somewhat below the GUT scale, which is in nice agreement with the Delta m^2 of the atmospheric neutrino oscillation through the see-saw mechanism. We also discuss various scenarios of solving the dimension-4 proton decay problem in supersymmetric F-theory compactifications, along with considering the consequences of those scenarios in the nature of right-handed neutrinos.
61 pages
References in corpus (14)
- Flux Compactification
- New Aspects of Heterotic--F Theory Duality
- Gauge Coupling Unification in F-theory GUT Models
- Yukawa Structure from U(1) Fluxes in F-theory Grand Unification
- High Energy Cosmic Rays from the Decay of Gravitino Dark Matter
- Higgs Bundles and UV Completion in F-Theory
- Antimatter Signatures of Gravitino Dark Matter Decay
- A Novel String Derived Z' With Stable Proton, Light-Neutrinos and R-parity violation
- GUT Relations from String Theory Compactifications
- Statistical Understanding of Quark and Lepton Masses in Gaussian Landscapes
- Quark and Lepton Flavor Physics from F-Theory
- Quark and Lepton Masses from Gaussian Landscapes
- Effective Field Theories for Local Models in F-Theory and M-Theory
- A Stable Proton without R-Parity--Implications for the LSP--
Cited by in corpus (11)
- Lectures on F-theory compactifications and model building
- N = 1 SCFTs from Brane Monodromy
- A Note on G-Fluxes for F-theory Model Building
- Yukawa couplings and fermion mass structure in F-theory GUTs
- T-branes and Yukawa Couplings
- Flipped SU(5) GUTs from E_8 Singularities in F-theory
- Dirac gauginos and unification in F-theory
- Sneutrino Chaotic Inflation and Landscape
- On F-theory E_6 GUTs
- Issues in Complex Structure Moduli Inflation
- On Global Flipped SU(5) GUTs in F-theory