Gauge-invariant three-boson vertices and their Ward identities in the standard model
- Department of Physics, New York University, Andre and Bella Meyer Hall of Physics, 4 Washington Place, New York, New York 10003 (United States)
In the context of the standard model we extend the {ital S}-matrix 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 {ital off} {ital shell}. Explicit closed expressions for the vertices {gamma}{ital W}{sup {minus}}{ital W}{sup +}, {ital ZW}{sup {minus}}{ital W}{sup +}, and {chi}{ital W}{sup {minus}}{ital W}{sup +} 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 {ital 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.
- OSTI ID:
- 113020
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 4 Vol. 52; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
The ward identities of the gauge invariant three boson vertices
Gauge-independent transverse and longitudinal self-energies and vertices via the pinch technique