Higgs-gauge unification without tadpoles Original Research Article

In orbifold gauge theories localized tadpoles can be radiatively generated at the fixed points where image subgroups are conserved. If the Standard Model Higgs fields are identified with internal components of the bulk gauge fields (Higgs-gauge unification) in the presence of these tadpoles the Higgs mass becomes sensitive to the UV cutoff and electroweak symmetry breaking is spoiled. We find the general conditions, based on symmetry arguments, for the absence/presence of localized tadpoles in models with an arbitrary number of dimensions D. We show that in the class of orbifold compactifications based on image (D even, image) tadpoles are always allowed, while on image (arbitrary D) with fermions in arbitrary representations of the bulk gauge group tadpoles can only appear in image dimensions. We explicitly check this with one- and two-loops calculations.