An attempt to solve the hierarchy problem based on gravity-gauge-Higgs unification scenario

Abstract

We discuss a possible scenario to solve the hierarchy problem, in which 4-dimensional bosonic fields with all possible integer spins, graviton, gauge boson and Higgs are unified in a framework of a gravity theory with extra dimensions. The Higgs is identified with the extra space component of the metric tensor. One-loop quantum effect on the Higgs mass-squared is explicitly calculated in a five dimensional gravity theory compactified on S 1 . We obtain a finite calculable Higgs mass-squared without suffering from quadratic divergence, by virtue of general coordinate transformation invariance, which is argued to be guaranteed by the summation over all Kaluza-Klein modes running in the loop diagrams.1

Six-Dimensional Gauge-Higgs Unification with an Extra SpaceS2and the Hierarchy Problem

“…Recently, the finiteness of Higgs mass at two-loop level has been explicitly confirmed in 5D QED compactified on S 1 [10]. Even in the "Gravity-Gauge-Higgs unification" scenario, where all interactions mediated by bosonic particles with all possible spins are unified in a framework of Kaluza-Klein type higher dimensional gravity theory, the same argument holds true and the Higgs mass at one-loop level was shown to be finite [11].…”

B0−B¯0mixing in gauge-Higgs unification

“…In our previous papers [11,12], we addressed this issue and have clarified the mechanism to generate the flavor mixings by the interplay between bulk masses and the brane localized masses. 1 For the case of gravity-gauge-Higgs unification, see [4].…”

Gauge-Higgs dark matter

“…The higher-dimensional gauge symmetry protects the Higgs doublet mass from ultraviolet divergences [2,3], and hence the hierarchy problem can be solved. In the context of the gauge-Higgs unification scenario, many models have been considered in both the flat [4]- [7] and the warped [8] background geometries [9]- [13]. However, the latter problem has not been investigated in this scenario, except for a few literatures [14,15,16], and in this paper, we propose a dark matter candidate which can be naturally incorporated in the gauge-Higgs unification scenario.…”