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Gaugeinvariant 3boson vertices and their ward identities in the standard model
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Papavassiliou, Joannis; Philippides, Kostas


This document is a artículoDate1995




In the context of the Standard Model we extend the Smatrix pinch technique for nonconserved currents to the case of three boson vertices. We outline in detail how effective gauge invariant three boson vertices can be constructed, with all three incoming momenta {\it offshell}. Explicit closed expressions for the vertices γW−W+, ZW−W+, and χW−W+ are reported. The three boson vertices so constructed satisfy naive QEDlike Ward identities which relate them to the gauge invariant gauge boson selfenergies previously constructed by the same method. The derivation of the aforementioned Ward identities relies on the sole requirement of complete gauge invariance of the Smatrix element considered; in particular, no knowledge of the explicit closed form of the three boson vertices involved is necessary.The validity of one of these Ward identities is demonstrated explicitly, through a detailed diagrammatic oneloop analysis, in the context of three different gauges.


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