Bootstrap dynamical symmetry breaking with strong Yukawa coupling

A bstract 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 Yuka...

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Veröffentlicht in:The journal of high energy physics 2013-11, Vol.2013 (11), p.1-26, Article 48
Hauptverfasser: Mimura, Yukihiro, Hou, Wei-Shu, Kohyama, Hiroaki
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creator Mimura, Yukihiro
Hou, Wei-Shu
Kohyama, Hiroaki
description A bstract 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 λ Q . A “bootstrap” gap equation is constructed, where strong λ Q generates large quark mass m Q , 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 m Q to be a couple of TeV. Putting in the light Higgs boson raises the strength of λ Q considerably, hence m Q 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.
doi_str_mv 10.1007/JHEP11(2013)048
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subjects Bosons
Broken symmetry
Classical and Quantum Gravitation
Couples
Dilatons
Elementary Particles
Higgs bosons
High energy physics
Joining
Mathematical analysis
Mathematical models
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
title Bootstrap dynamical symmetry breaking with strong Yukawa coupling
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