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Anomalous Magnetic Moment of the Charged Intermediate Vector Boson
Phys. Rev. D 5, 2978 – Published 15 June, 1972
DOI: https://doi.org/10.1103/PhysRevD.5.2978
Abstract
Assuming that the intermediate vector boson for weak interactions has no strong interactions, we reinvestigate the Corben-Schwinger problem of the scattering of a charged vector meson with anomalous magnetic moment by an external static Yukawa potential, or in particular a static Coulomb field. Meixner's corner condition of finite integrated energy in every bounded region is applied in the neighborhood of the singularity of the Yukawa potential, and it is found that the Corben-Schwinger problem, although nonrenormalizable, possesses a finite, unique solution if and only if the anomalous magnetic moment is larger than unity. It is therefore a characteristic of nonrenormalizable theories that there may be lower bounds to coupling constants. Experimental determination of the anomalous magnetic moment of the intermediate vector boson is thus of great importance. Furthermore, because certain differential equations happen to be solvable in terms of Bessel functions, an explicit perturbation expansion for weak coupling can be given for this scattering process.
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