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.

11 pages, LaTex

References in corpus (5)

• Natural Suppression of Higgsino-Mediated Proton Decay in Supersymmetric SO(10)
• Natural Gauge Hierarchy in SO(10)
• Flavour in supersymmetric Grand Unification: a democratic approach
• Could the Supersymmetric Higgs Particles Naturally be Pseudo-Goldstone Bosons?
• SUSY SU(6) GIFT for doublet-triplet splitting and fermion masses

Cited by in corpus (4)

• 5D SUSY Orbifold SU(6) GUT and Pseudo-Goldstone Higgs Doublets
• Realistic Supersymmetric SU(6)
• SUSY SU(6) GUT without Gauge Hierarchy Problem
• On the possible solution of the doublet-triplet problem in extended $SU(\ge 8)$ SUSY GUTs