Remarkable coincidence for the top Yukawa coupling and an approximately massless bound state

Abstract

We calculate, with several corrections, the non-relativistic binding by Higgs exchange and gluon exchange between six top and six anti-top quarks (actually replaced by left-handed b quarks from time to time). The remarkable result is that, within our calculational accuracy of the order of 14% in the top quark Yukawa coupling g_t, the experimental running top-quark Yukawa coupling g_t = 0.935 happens to have just that value which gives a perfect cancellation of the unbound mass = 12 top-quark masses by this binding energy. In other words the bound state is massless to the accuracy of our calculation. Our calculation is in disagreement with a similar calculation by Kuchiev et al., but this deviation may be explained by a phase transition. We and Kuchiev et al. compute on different sides of this phase transition.

68 pages, 3 figures; published version, including a discussion of the results of Ref. (5) and the new Appendix J

References in corpus (12)

• Search for the Standard Model Higgs Boson at LEP
• The relation between the $\overline{\mathrm{MS}}$ and the on-shell quark mass at order ${\alpha }_s^3$
• Standard Model Criticality Prediction: Top mass 173 +/- 5 GeV and Higgs mass 135 +/- 9 GeV
• Short Distance Mass of a Heavy Quark at Order α_s^3
• Prediction for Nonabelian Fine Structure Constants from Multicriticality
• Standard Model Higgs Boson Mass from Borderline Metastability of the Vacuum
• Trying to understand the Standard Model parameters
• Hierarchy-Problem and a Bound State of 6 t and 6 $\bar{t}$
• Gauge Couplings calculated from Multiple Point Criticality yield ${\alpha }^{-1}=136{.}_8\pm 9$: At Last the Elusive Case of $U(1)$
• On bound states of multiple t-quarks due to Higgs exchange
• New Bound States of several Top-quarks bound by Higgs Exchange
• Hierarchy Problem and a new Bound State

Cited by in corpus (28)

• PREdicted the Higgs Mass
• New results at LHC confirming the vacuum stability and Multiple Point Principle
• Higgs Criticality beyond the Standard Model
• About the stability of the dodecatoplet
• Stable charged cosmic strings
• Multi-fermion states for heavy fermions bound via Higgs exchange
• Light bound states of heavy fermions
• Cosmological constant in SUGRA models with Planck scale SUSY breaking and degenerate vacua
• Tunguska Dark Matter Ball
• Planck Scale Physics, Gravi-Weak Unification and the Higgs Inflation
• New indications of the existence of the 6 top-anti-top quark bound states in LHC experiments
• New Bound States of Heavy Quarks at LHC and Tevatron
• Complex Action Support from Coincidences of Couplings
• Production and Decay of 750 Gev state of 6 top and 6 anti top quarks
• Radiative corrections in fermion bags bound by Higgs boson exchange
• Two heavy fermions bound via Higgs boson exchange
• Diphoton decay of the Higgs boson and new bound states of top and anti-top quarks
• Dark Energy density in models with Split Supersymmetry and degenerate vacua
• F(750), We Miss You as a Bound State of 6 Top and 6 Antitop Quarks, Multiple Point Principle
• The New Dijet Particle in the Tevatron IS the Higgs
• F(750), We Miss You, as Bound State of 6 Top and 6 Anti top
• Dark Matter Balls Help Supernovae to Explode
• Degenerate Vacua of the Universe and What Comes Beyond the Standard Model
• Simple Mass Estimate for Resonance(s) being 6 Top plus 6 Anti top Bound states and Combinations thereof
• Decays of Fourth Generation Bound States
• Anomalies from Non-Perturbative Standard Model Effects
• The Concept of an Emergent Cosmographic Vacuum
• Influence from Future, Arguments