The existence of dyon solutions for generalized Weinberg–Salam model

Abstract

The generalized Weinberg–Salam model, which is presented in a recent study of Kimm, Yoon, and Cho [Eur. Phys. J. C 75, 67 (2015)], is arising in electroweak theory. In this paper, we prove the existence and asymptotic behaviors at infinity of static and radially symmetric dyon solutions to the boundary-value problem of this model. Moreover, as a by-product, the qualitative properties of dyon solutions are also obtained. The methods used here are the extremum principle, the Schauder fixed point theory, and the shooting approach depending on one shooting parameter. We provide an effective framework for constructing the dyon solutions in general dimensions and develop the existing results.