Hidden BPS states of electroweak monopole and a new bound estimate

Using the BPS Lagrangian method, we obtain a distinct set of Bogomolny equations for the Cho-Maison monopoles from the bosonic sector of a regularized electroweak theory. In the limit of $n\rightarrow\infty$ of the permittivity regulator, $\epsilon\left(\rho^n\right)$, the mass of the monopole can be estimated to be $M_W\sim3.56$ TeV. This value is within the latest theoretical window, 2.98 TeV - 3.75 TeV. We also discuss some possible regularization mechanisms of electroweak monopole in the Yang-Mills sector and the existence of its BPS state.