Bootstrap dynamical symmetry breaking with strong yukawa coupling
Journal
Journal of High Energy Physics
Journal Volume
2013
Journal Issue
11
Date Issued
2013
Author(s)
Abstract
The newly discovered 126 GeV boson appears, by all counts, to be the Higgs boson of the Standard Model. Although this seems to exclude the existence of a heavy fourth generation quark doublet Q, for theoretical interest, we document a mechanism of dynamical mass generation via strong Yukawa coupling. The Goldstone boson G (the longitudinal component of the weak boson) couples to Q with Yukawa coupling λQ. A "bootstrap" gap equation is constructed, where strong λQ generates large quark mass mQ, thereby breaks electroweak symmetry breaking while self-consistently justifying G as a massless Goldstone particle in the loop. We solve the gap equation numerically and find mQ to be a couple of TeV. Putting in the light Higgs boson raises the strength of λQ considerably, hence mQ as well, and does not look viable. But the equation allows for a dilaton of scale invariance violation, which has weaker coupling than the Higgs boson, except for gg and γγ modes. Whether a dilaton can be still compatible with current data is relegated to an appendix. © SISSA 2013.
Type
journal article