Finite Energy Electroweak Dyon

Abstract

We present finite energy analytic monopole and dyon solutions whose size is fixed by the electroweak scale. We discuss two types of solutions. The first type is obtained by regularizing the recent solutions of Cho and Maison by modifying the coupling strength of the quartic self-interaction of $W$-boson in Weinberg-Salam model. The second is obtained by enlarging the gauge group $SU(2) \times U(1)$ to $SU(2) \times SU(2)$. Our result demonstrates that one could actually construct genuine electroweak monopole and dyon whose mass scale is much smaller than the grand unification scale, with a minor modification of the electroweak interaction without compromizing the underlying gauge invariance.