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In the previous paper, we have shown the existence of magnetic monopoles inthe pure $SU(2)$ Yang--Mills theory with a gauge-invariant mass term for thegluon field being introduced. In this paper, we extend our previousconstruction of magnetic monopoles to obtain dyons with both magnetic andelectric charges. In fact, we solve under the static and spherically symmetricansatz the field equations of the $SU(2)$ "complementary" gauge-scalar model,which is the $SU(2)$ Yang--Mills theory coupled to a single adjoint scalarfield whose radial degree of freedom is eliminated. We show that the novel dyonsolution can be identified with the gauge field configuration of a dyon with aminimum magnetic charge in the massive Yang--Mills theory. Moreover, we comparethe dyon of the massive Yang--Mills theory obtained in this way with theJulia--Zee dyon in the Georgi--Glashow gauge-Higgs scalar model and the dyonicextension of the Wu--Yang magnetic monopole in the pure Yang--Mills theory.Finally, we identify the novel dyon solution found in this paper with a dyonconfiguration on $S^1 \times \mathbb{R}^3$ space with nontrivial holonomy andpropose to use it to understand the confinement/deconfinement phase transitionin the Yang--Mills theory at finite temperature, instead of using the dyonsconstituting the Kraan--van Baal--Lee--Lu caloron.

Dyon in the $SU(2)$ Yang--Mills theory with a gauge-invariant gluon mass toward quark confinement