Is the Higgs boson associated with Coleman-Weinberg dynamical symmetry breaking?
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 SU(2)×U(1)] with a mass of ∼380 GeV. 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 ∼230 GeV, 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 θ term in QCD, which generates it from a scalar action.
- Publication:
-
Physical Review D
- Pub Date:
- April 2014
- DOI:
- 10.1103/PhysRevD.89.073003
- arXiv:
- arXiv:1401.4185
- Bibcode:
- 2014PhRvD..89g3003H
- Keywords:
-
- 14.80.Bn;
- 14.80.-j;
- 14.80.Da;
- Standard-model Higgs bosons;
- Other particles;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 19 pages, 7 figures