Effective Field Theory for a Heavy Higgs: a Manifestly Gauge Invariant Approach

Abstract

For large values of the Higgs boson mass the low energy structure of the gauged linear sigma model in the spontaneously broken phase can adequately be described by an effective field theory. In this work we present a manifestly gauge invariant technique to explicitly evaluate the corresponding effective Lagrangian from the underlying theory. In order to demonstrate the application of this functional method, the effective field theory of the abelian Higgs model is thoroughly analyzed. We stress that this technique does not rely on any particular property of the abelian case. The application to the non-abelian theory is outlined.

32 pages, LaTeX. A postscript file is available at ftp://ftp-itp.unibe.ch/pub/preprints/1995/BUTP-95_5.ps.gz

References in corpus (7)

• The Chiral Approach to the Electroweak Interactions
• Electroweak effective lagrangians
• The Electroweak Chiral Lagrangian for the Standard Model with a Heavy Higgs
• Non-decoupling effects of the Standard Model Higgs boson to one loop
• Deriving Non-decoupling Effects of Heavy Fields from the Path Integral: a Heavy Higgs Field in an SU(2) Gauge Theory
• Effective Field Theory of the Linear $O(N)$ Sigma Model
• Some Remarks on the Matching Conditions

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• Gauge-invariant Green's functions for the bosonic sector of the standard model