Coupled gap equations for the screening masses in the $SU(2)$ Higgs model

Abstract. The complete set of static screening masses is determined for the SU(2) Higgs model from one-loop coupled gap equations. Results from the version containing scalar fields both in the fundamental and adjoint representations are compared with the model arising when integration over the adjoint scalar field is performed. A non-perturbative and non-linear mapping between the couplings of the two models is proposed which exhibits perfect decoupling of the heavy adjoint scalar field. Also the alternative of a gauge invariant mass resummation is investigated in the high temperature phase.