331 models and grand unification: From minimal SU(5) to minimal SU(6)
Source
Physics Letters Section B Nuclear Elementary Particle and High Energy Physics
ISSN
03702693
Date Issued
2016-11-10
Author(s)
Deppisch, Frank F.
Hati, Chandan
Patra, Sudhanwa
Sarkar, Utpal
Valle, José W.F.
Abstract
We consider the possibility of grand unification of the SU(3)<inf>c</inf>⊗SU(3)<inf>L</inf>⊗U(1)<inf>X</inf> model in an SU(6) gauge unification group. Two possibilities arise. Unlike other conventional grand unified theories, in SU(6) one can embed the 331 model as a subgroup such that different multiplets appear with different multiplicities. Such a scenario may emerge from the flux breaking of the unified group in an E(6) F-theory GUT. This provides new ways of achieving gauge coupling unification in 331 models while providing the radiative origin of neutrino masses. Alternatively, a sequential variant of the SU(3)<inf>c</inf>⊗SU(3)<inf>L</inf>⊗U(1)<inf>X</inf> model can fit within a minimal SU(6) grand unification, which in turn can be a natural E(6) subgroup. This minimal SU(6) embedding does not require any bulk exotics to account for the chiral families while allowing for a TeV scale SU(3)<inf>c</inf>⊗SU(3)<inf>L</inf>⊗U(1)<inf>X</inf> model with seesaw-type neutrino masses.