Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-03-19
Phys.Rev. D52 (1995) 2355-2378
Physics
High Energy Physics
High Energy Physics - Phenomenology
37 pages and 13 figures all included in a uucoded file
Scientific paper
10.1103/PhysRevD.52.2355
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 $\gamma W^- W^+$, $Z W^- W^+$, and $\chi W^- W^+$ 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.
Papavassiliou Joannis
Philippides Kostas
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