Is the Higgs boson associated with Coleman-Weinberg dynamical symmetry breaking?

Christopher T. Hill
Phys. Rev. D 89, 073003 – Published 4 April 2014

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 380GeV. 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 230GeV, 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.

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  • Received 16 January 2014

DOI:https://doi.org/10.1103/PhysRevD.89.073003

© 2014 American Physical Society

Authors & Affiliations

Christopher T. Hill

  • Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510, USA

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Vol. 89, Iss. 7 — 1 April 2014

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