Classical solutions describing strings endowed with an electric charge and carrying a constant electromagnetic current are constructed within the bosonic sector of the Electroweak Theory. For any given ratio of the Higgs boson mass to W boson mass and for any Weinberg’s angle, these strings comprise a family that can be parameterized by values of the current through their cross section, $I_3$, by their electric charge per unit string length, $I_0$, and by two integers. These parameters determine the electromagnetic and Z fluxes, as well as the angular momentum and momentum densities of the string. For $I_0to 0$ and $I_3to 0$ the solutions reduce to Z strings, or, for solutions with $I_0=pm I_3$, to the W-dressed Z strings whose existence was discussed some time ago.

Laboratoire de Mathématiques