Missing Doublet Multiplet as the Origin of the Doublet-Triplet Splitting in SUSY SU(6)
Abstract
In a
SU(6)
gauge theory we found the irreducible representation (175-plet) which does not contain the Higgs doublet. Using this representation we construct two SUSY
SU(6)
models in which the doublet-triplet splitting occurs naturally, without fine tuning. The crucial role is played by the ``custodial" global
SU(2
)
H
in combination with discrete or continuous
R
symmetries.