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We study the structure of the gauge propagators of a 3d version of theelectroweak interaction in terms of the Higgs vacuum expectation value nu, ofthe non-Abelian gauge coupling g, and of the Abelian gauge coupling g', whennonperturbative effects related to the non-Abelian gauge fixing are introducedby means of an adapted path integral measure. In the perturbative regime ofsmall non-Abelian coupling g and sufficiently large nu, the well-known standardZ and W propagators are recovered, together with a massless photon. In general,depending on the relative magnitudes of g, g' and nu, we uncover a quitedifferent propagator structure. In a later stage of research, the results herederived can be used to study the associated phase diagram in more depth.

SU(2) x U(1) Yang-Mills theories in 3d with Higgs field and Gribov ambiguity