Gauge-invariant 3-boson vertices and their ward identities in the standard model
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Papavassiliou, Joannis; Philippides, Kostas
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Aquest document és un/a article, creat/da en: 1995
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In the context of the Standard Model we extend the S--matrix pinch technique for non--conserved 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 off--shell}. Explicit closed expressions for the vertices γW−W+, ZW−W+, and χW−W+ are reported. The three boson vertices so constructed satisfy naive QED--like Ward identities which relate them to the gauge invariant gauge boson self--energies previously constructed by the same method. The derivation of the aforementioned Ward identities relies on the sole requirement of complete gauge invariance of the S--matrix 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 one-loop analysis, in the context of three different gauges.
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