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Right-handed Neutrinos in F-theory Compactifications | | Radu Tatar
; Yoichi Tsuchiya
; Taizan Watari
; | | Date: |
14 May 2009 | | 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. | | Source: | arXiv, 0905.2289 | | Services: | Forum | Review | PDF | Favorites | |
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