Speculative Determination of the Intermediate-Boson Mass

Abstract

It is shown that the algebra generated by the space integrals of the fourth components of the electromagnetic current and the weak-interaction current is that of an $\mathrm{SU}(2)\ensuremath{\bigotimes}\mathrm{U}(1)$ group. Let $\stackrel{\ensuremath{\rightarrow}}{\mathrm{K}}$ be the generator of this SU(2) group. By requiring the $|\ensuremath{\Delta}\stackrel{\ensuremath{\rightarrow}}{\mathrm{K}}|=1$ part of these current operators, including their respective coupling constants, to form a $\stackrel{\ensuremath{\rightarrow}}{\mathrm{K}}=1$ triplet, one finds that the semiweak coupling constant $g$ is related to the fine-structure constant $\ensuremath{\alpha}$ by ${(4\ensuremath{\pi})}^{\ensuremath{-}1}{g}^{2}=\frac{1}{8}\ensuremath{\alpha}$; therefore, in the absence of radiative corrections, the mass of the (hypothetical) spin-1, charged intermediate boson is 37.29 GeV.