Application of the Background-Field Method to the electroweak Standard Model

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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34 pages, LaTeX, BI-TP. 94/50, UWITP 94/03, (LaTeX problem concerning old LaTeX versions eliminated, no further changes)

Scientific paper

10.1016/0550-3213(95)00037-S

Application of the background-field method yields a gauge-invariant effective action for the electroweak Standard Model, from which simple QED-like Ward identities are derived. As a consequence of these Ward identities, the background-field Green functions are shown to possess very desirable theoretical properties. The renormalization of the Standard Model in the background-field formalism is studied. A consistent on-shell renormalization procedure retaining the full gauge symmetry is presented. The structure of the counterterms is shown to greatly simplify compared to the conventional formalism. A complete list of Feynman rules for the Standard Model in the background-field method is given for arbitrary values of a quantum gauge parameter including all counterterms necessary for one-loop calculations.

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