Abstract
The Higgs mechanism may be a quantum phenomenon, i.e., a Coleman-Weinberg potential generated by the explicit breaking of scale symmetry in Feynman loops. We review the relationship of scale symmetry and trace anomalies, and we show that the Coleman-Weinberg potential can be defined as the solution to a differential renormalization group equation that follows from the trace of the improved stress tensor. We propose a simple phenomenological model with “maximal visibility” at the LHC containing a “dormant” Higgs doublet [no VEV, coupled to standard model gauge interactions ] with a mass of . We discuss the LHC phenomenology and UV challenges of such a model. We also give a schematic model in which new heavy fermions, with masses , can drive a Coleman-Weinberg potential at two loops. The role of the “improved stress tensor” is emphasized, and we propose a nongravitational term, analogous to the term in QCD, which generates it from a scalar action.
- Received 16 January 2014
DOI:https://doi.org/10.1103/PhysRevD.89.073003
© 2014 American Physical Society