Connections between Dynamical and Renormalization Group Techniques in Top Condensation Models

Abstract

Predictions for the ratio $M_W/m_t$ arise in top condensation models from different methods. One type of prediction stems from Pagels--Stokar relations based on the use of Ward Identities in the calculation of the \GB decay constants and expresses $M_W$ in terms of integrals containing the dynamically generated mass function ${\Sigma }_t(p^2)$. Another type of prediction emerges from the renormalization group equations via infrared quasi--fixed--points of the running top quark Yukawa coupling. We demonstrate in this paper that in the limit of a high cutoff these two methods lead to the same predictions for $M_W/m_t$ and $M_W/M_H$ in lowest loop order.

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References in corpus (2)

• Higgs and Top Quark Masses in the Standard Model without Elementary Higgs Boson
• Custodial SU(2) Violation and the Origin of Fermion Masses

Cited by in corpus (8)

• Top quark condensation
• Higgs Bosons Strongly Coupled to the Top Quark
• Regularization at the next-to-leading order in the top-mode standard model without gauge bosons
• The electroweak symmetry breaking Higgs boson in models with top-quark condensation
• A Renormalization Group Analysis of the Higgs Boson with Heavy Fermions and Compositeness
• Goldstone modes and the Higgs condensation beyond one loop
• New Insight in Dynamical Symmetry Breaking via Imaginary Part Analysis
• Higher Dimensional Operators in Top Condensation from a Renormalization Group Point of View