Bootstrap dynamical symmetry breaking
type: Item
instance of: scholarly article
title: Bootstrap dynamical symmetry breaking
zbMATH Open document ID: 1328.81131
DOI: 10.1155/2013/650617
author: Wei-Shu Hou
published in: Advances in High Energy Physics
publication date: 2016-01-15T00:00:00Z
review text: Summary: Despite the emergence of a 125 GeV Higgs-like particle at the LHC, we explore the possibility of dynamical electroweak symmetry breaking by strong Yukawa coupling of very heavy new chiral quarks \(Q\). Taking the 125 GeV object to be a dilaton with suppressed couplings, we note that the Goldstone bosons \(G\) exist as longitudinal modes \(V_L\) of the weak bosons and would couple to \(Q\) with Yukawa coupling \(\lambda_Q\). With \(m_Q\gtrsim700\) GeV from LHC, the strong \(\lambda_Q\gtrsim4\) could lead to deeply bound \(Q\overline{Q}\) states. We postulate that the leading ``collapsed state,'' the color-singlet (heavy) isotriplet, pseudoscalar \(Q\overline{Q}\) meson \(\pi_1\), is \(G\) itself, and a gap equation without Higgs is constructed. Dynamical symmetry breaking is affected via strong \(\lambda_Q\), generating \(m_Q\) while self-consistently justifying treating \(G\) as massless in the loop, hence, ``bootstrap,'' Solving such a gap equation, we find that \(m_Q\) should be several TeV, or \(\lambda_Q\gtrsim 4\pi\), and would become much heavier if there is a light Higgs boson. For such heavy chiral quarks, we find analogy with the \(\pi-N\) system, by which we conjecture the possible annihilation phenomena of \(Q\overline{Q}\to nV_L\) with high multiplicity, the search of which might be aided by Yukawa-bound \(Q\overline{Q}\) resonances.
Mathematics Subject Classification ID: 81R40
Mathematics Subject Classification ID: 81V10
Mathematics Subject Classification ID: 81V05
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 81-05
zbMATH DE Number: 6530706
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/650617
OpenAlex ID: W2013501546
Wikidata QID: Q58918303
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description: scientific article; zbMATH DE number 6530706