Strength of Weak Interactions at Very High Energies and the Higgs Boson Mass

Abstract

It is shown that if the Higgs boson mass exceeds $M_c={\left(8\mathrm{}\pi \frac{\sqrt{2}}{3G_{\mathrm{F}}}\right)}^{\frac{1}{2}}$ partial-wave unitarity is not respected by the tree diagrams for two-body reactions of gauge bosons, and the weak interactions must become strong.