Yukihiro Mimura, Wei-Shu Hou, Hiroaki Kohyama
Despite the hint at 125 GeV, the existence of the Higgs boson is not yet established. What we do know is that the Goldstone bosons $G$ of electroweak symmetry breaking exist as longitudinal modes of the weak bosons. Given the LHC limit of $m_Q > 600$ GeV for a possible new heavy chiral quark doublet $Q$, the $GQQ$ Yukawa coupling would now be in the strong coupling regime. If such strong Yukawa couplings induce $\bar QQ$ condensation, it could take the role of the Higgs condensate. We identify the leading "collapsed state", the (heavy) isotriplet, color-singlet meson, as the Goldstone boson itself, and viewing it as a very deeply bound state, a bootstrap gap equation without a Higgs particle is constructed. Electroweak symmetry breaking via strong Yukawa coupling generates both heavy mass for $Q$, while self-consistently justifying $G$ as a massless Goldstone particle in the loop. We solve such a gap equation and find the mass of the heavy quark to be a couple of TeV. We offer a short critique on the results of the scale-invariant model of Hung and Xiong, where a similar gap equation is built with a massless scalar doublet.
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http://arxiv.org/abs/1206.6063
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