Probing vacuum stability bounds at the fermilab collider

Abstract

If the top quark mass is above 86 GeV, then a stringent lower bound on the mass of the Higgs boson arises from the requirement of vacuum stability. We calculate the bound as precisely as possible by numerically solving the renormalization group equations to two-loop order. If the lower bound on the top mass is 100 (110, 120) GeV, the lower bound to the Higgs mass is found to be 20 (34, 50) GeV. Thus, if the standard model is correct, then a nondiscovery of the top quark at the Fermilab Collider implies that the Higgs boson cannot be discovered at CUSB, SLC or LEP I.