A Natural Hierarchy and a low New Physics scale from a Bulk Higgs

Understand

We show that a bulk Higgs with a mass saturating the Breitenlohner-Freedman bound can naturally generate and stabilize an exponential hierarchy on a nearly AdS background.

• The physical Higgs boson in this class of models emerges as the lightest eigenstate of the Higgs/radion system and has a mass strictly lighter than the Kaluza-Klein scale.
• These theories are dual to strongly coupled CFTs deformed by a marginally relevant Higgs mass operator.
• On the 5D side, the marginally relevant nature of the Higgs mass operator implies that the Higgs VEV is maximally spread in the bulk.