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We study spherically symmetric finite energy solutions of twoHiggs-Chern-Simons--Yang-Mills-Higgs (HCS-YMH) models in $3+1$ dimensions, onewith gauge group $SO(5)$ and the other with $SU(3)$. The Chern-Simons (CS)densities are defined in terms of both the Yang-Mills (YM) and Higgs fields andthe choice of the two gauge groups is made so they do not vanish. The solutionsof the $SO(5)$ model carry only electric charge and zero magnetic charge, whilethe solutions of the $SU(3)$ model are dyons carrying both electric andmagnetic charges like the Julia-Zee (JZ) dyon. Unlike the latter however, theelectric charge in both models receives an important contribution from the CSdynamics. We pay special attention to the relation between the energies andcharges of these solutions. In contrast with the electrically charged JZ dyonof the Yang-Mills-Higgs (YMH) system, whose mass is larger than that of theelectrically neutral (magnetic monopole) solutions, the masses of theelectrically charged solutions of our HCS-YMH models can be smaller than theirelectrically neutral counterparts in some parts of the parameter space. Toestablish this is the main task of this work, which is performed byconstructing the HCS-YMH solutions numerically. In the case of the $SU(3)$HCS-YMH, we have considered the question of angular momentum, and it turns outthat it vanishes.

Electrically charged finite energy solutions of an $SO(5)$ and an $SU(3)$ Higgs-Chern-Simons--Yang-Mills-Higgs systems in $3+1$ dimensions