  The Witten effect implies the dynamics of axion and magnetic monopole. The
Cho-Maison monopole is a realistic electroweak monopole arisen in the
Weinberg-Salam theory. This monopole of TeV scale mass motivates the dedicated
search for electroweak monopole at colliders. In this work we investigate the
implication of KSVZ axion to the electroweak magnetic monopole. We use the
spherically symmetric ansatz for the electroweak dyon and introduce the
spherically symmetric function for the axion field. The effective Lagrangian is
then shown in terms of the electroweak monopole part, the axion kinetic energy
as well as the axion interaction term. We derive the consequent equations of
motion in the presence of the axion-photon coupling and show the numerical
results of the topological solutions. We then calculate the changed
characteristics of the electroweak monopole such as the monopole mass and the
electromagnetic charges, as well as the axion potential energy.
