Bootstrap dynamical symmetry breaking
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.
scientific article; zbMATH DE number 6530706
scientific article