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

摘要: Abstract We review recent efforts to explore the information on masses of heavy matter particles, notably top quark and Higgs boson, as encoded at quantum level in renormalization group equations. The Standard Model (SM) Minimal Supersymmetric (MSSM) are considered parallel throughout. First, question is addressed which extent infrared physics “top-down” flow independent ultraviolet physics. central issues i) attractive fixed point values for mass, most outstanding one being m t = O (190 GeV) sin β MSSM, ii) relations between parameters, prominent ones an top-Higgs mass relation SM, leading H =O(140 experimental parameter tan iii) a systematical analytical assessment their respective strengths attraction. triviality vacuum stability bounds SM well upper bound lightes boson MSSM reviewed. mathematical backbone all these features, rich structure points, lines, surfaces,… corresponding multiparameter space, made transparent. Interesting hierarchies emerge: attraction systematically stronger than generically, nontrivial higher dimensional manifolds more strongly lower ones. Tau-bottom-(top) Yukawa coupling unification ultraviolett symmetry property supersymmetric grand unified theories its power focus into IR and, generally, onto line -tan β-plane program reduction systematic search invariant couplings, guided by requirement asymptotically free couplings complementary “bottom-up” evolution, summarized; interrelations with pointed out.