Missing Doublet Multiplet as the Origin of the Doublet-Triplet Splitting in SUSY SU(6)
classification
✦ hep-ph
keywords
doubletdoublet-tripletrepresentationsplittingsusycombinationconstructcontain
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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.
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