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Green functions from a gauge-invariant effective action for the electroweak Standard Model

A. Denner·S. Dittmaier·G. Weiglein
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Abstract

Application of the background-field method to the electroweak Standard-Model yields a gauge-invariant effective action giving rise to simple Ward identities. We find that in the background-field `t Hooft-Feynman gauge the resulting vertex functions are exactly those that are obtained using the pinch technique. Thus, the background-field method provides a general framework that generalizes the pinch technique directly and uniquely to arbitrary Green functions and arbitrary orders of perturbation theory. Moreover, the desirable properties of the pinch-technique vertex functions hold for arbitrary gauge parameters and have a simple explanation within the background- field method.

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A. Denner, S. Dittmaier, G. Weiglein. 1994-06-27. Green functions from a gauge-invariant effective action for the electroweak Standard Model. https://doi.org/10.1016/0920-5632(94)90664-5

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