Crawling technicolor

Abstract

We analyze the Callan-Symanzik equations when scale invariance at a nontrivial infrared (IR) fixed point αIR is realized in the Nambu-Goldstone (NG) mode. As a result, Green's functions at αIR do not scale in the same way as for the conventional Wigner-Weyl (WW) mode. This allows us to propose a new mechanism for dynamical electroweak symmetry breaking where the running coupling α "crawls" towards (but does not pass) αIR in the exact IR limit. The NG mechanism at αIR implies the existence of a massless dilaton σ, which becomes massive for IR expansions in ϵαIR-α and is identified with the Higgs boson. Unlike "dilatons" that are close to a WW-mode fixed point or associated with a Coleman-Weinberg potential, our NG-mode dilaton is genuine and hence naturally light. Its (mass)2 is proportional to ϵβ′(4+β′)Fσ-2âG^2â