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We describe a method to remove non-decoupling heavy fields from a quantizedfield theory and to construct a low-energy one-loop effective Lagrangian byintegrating out the heavy degrees of freedom in the path integral. We applythis method to the Higgs boson in a spontaneously broken SU(2) gauge theory(gauged linear sigma-model). In this context, the background-field method isgeneralized to the non-linear representation of the Higgs sector by applying (ageneralization of) the Stueckelberg formalism. The (background) gauge-invariantrenormalization is discussed. At one loop the log M_H-terms of the heavy-Higgslimit of this model coincide with the UV-divergent terms of the correspondinggauged non-linear sigma-model, but vertex functions differ in addition byfinite (constant) terms in both models. These terms are also derived by ourmethod. Diagrammatic calculations of some vertex functions are presented asconsistency check.Comment: 33 Pages LaTeX, 6 figures uuencoded postscrip

Deriving nondecoupling effects of heavy fields from the path integral: A heavy Higgs field in an SU(2) gauge theory