The Stability of the Gauge Hierarchy in $SU(5) \times SU(5)$

Details The Stability of the Gauge Hierarchy in $SU(5) \times SU(5)$ The Stability of the Gauge Hierarchy in $SU(5) \times SU(5)$

1996-07-17

arxiv.org/abs/hep-ph/9607359v1

Phys.Rev.D55:6775-6779,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, LaTeX

Scientific paper

10.1103/PhysRevD.55.6775

It has been shown that the Dimopoulos-Wilczek (or missing-VEV) mechanism for doublet-triplet splitting can be implemented in $SU(5) \times SU(5)$ models, which requires no adjoint Higgs fields. This is an advantage from the point of view of string theory construction. Here the stability of the gauge hierarchy is examined in detail, and it is shown that it can be guaranteed much more simply than in $SO(10)$. In fact a $Z_2$ symmetry ensures the stability of the DW form of the expectation values to all orders in GUT-scale VEVs. It is also shown that models based on $SO(10) \times SU(5)$ have the advantages of $SU(5) \times SU(5)$ while permitting complete quark-lepton unification as in $SO(10)$.

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