Deriving nondecoupling effects of heavy fields from the path integral: A heavy Higgs field in an SU(2) gauge theory
- Universitaet Bielefeld, Fakultaet fuer Physik, Postfach 10 01 31, D-33501 Bielefeld (Germany)
- Universite de Montreal, Laboratoire de Physique Nucleaire, C.P. 6128, Montreal, Quebec, H3C 3J7 (Canada)
We describe a method to remove nondecoupling heavy fields from a quantized field theory and to construct a low-energy one-loop effective Lagrangian by integrating out the heavy degrees of freedom in the path integral. We apply this method to the Higgs boson in a spontaneously broken SU(2) gauge theory (gauged linear {sigma} model). In this context, the background-field method is generalized to the nonlinear representation of the Higgs sector by applying (a generalization of) the Stueckelberg formalism. The (background) gauge-invariant renormalization is discussed. At one loop the ln{ital M}{sub {ital H}} terms of the heavy-Higgs-boson limit of this model coincide with the UV-divergent terms of the corresponding gauged {ital nonlinear} {sigma} model, but vertex functions differ in addition by finite (constant) terms in both models. These terms are also derived by our method. Diagrammatic calculations of some vertex functions are presented as a consistency check. {copyright} 1995 The American Physical Society.
- OSTI ID:
- 147848
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 12 Vol. 52; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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