A Renormalization Group Analysis of the Higgs Boson with Heavy Fermions and Compositeness

Abstract

We study the properties of heavy fermions in the vector-like representation of the electro-weak gauge group $SU(2{)}_W\times U(1{)}_Y$ with Yukawa couplings to the standard model (SM) Higgs boson. Using the renormalization group analysis, we discuss their effects on the vacuum stability and the triviality bound on the Higgs self-coupling, within the context of the standard model (i.e., the Higgs particle is elementary). Contrary to the low energy case where the decoupling theorem dictates their behavior, the inclusion of heavy fermions drastically change the SM structure at high scale. We also discuss the interesting possibility of compositeness, i.e., the Higgs particle is composed of the heavy fermions using the method of Bardeen, Hill and Lindner~\cite{BHL91}. Finally we briefly comment on their possible role in explaining $R_b$ and $R_c$.

Some typographic errors are corrected and title is changed. Version to appear in Physics Letter B. 9 pages 6 Postscript figures, use epsf.sty

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Cited by in corpus (6)

• Quarks and Leptons Beyond the Third Generation
• Beautiful Mirrors and Precision Electroweak Data
• Supersymmetry and Vector-like Extra Generation
• Higgs Vacuum Stability with Vector-like Fermions
• Scalar resonance at 750 GeV as composite of heavy vector-like fermions
• Generating the Electro-Weak Scale by Vector-like Quark Condensation