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Top quark and Higgs boson masses: Interplay between infared and ultraviolet physics

机译：顶夸克和希格斯玻色子群：红外物理与紫外物理之间的相互作用

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摘要

We review recent efforts to explore the information on masses of heavy matter particles, notable of the top quark and the Higgs boson, as encoded at the quantum level in the renormalization group equations. The standard model (SM) and the minimal supersymmetric standard model (MSSM) are considered in parallel throughout. First, the question is addressed to which extent the infrared physics of the ''top-down'' renormalization group flow is independent of the ultraviolet physics. The central issues are (i) infrared attractive fixed point values for the top and the Higgs mass, the most outstanding one being m(sub t)=O (190 GeV) sin (beta) in the MSSM, (ii) infrared attractive relations between parameters, the most prominent ones being an infrared fixed top-Higgs mass relation in the SM, leading to m(sub H)=O (156 GeV) for the experimental top mass, and an infrared fixed relation between the top mass and the parameter tan (beta) in the MSSM, and (iii) a systematical analytical assessment of their respective strengths of attraction. The triviality and vacuum stability bounds on the Higgs and top masses in the SM as well as the upper bound on the mass of the lightest Higgs boson in the MSSM are reviewed. The mathematical backbone for all these features, the rich structure of infrared attractive fixed points, lines, surfaces,.. in the corresponding multiparameter space, is made transparent.

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