Gaugeinvariant threeboson vertices and their Ward identities in the standard model
Abstract
In the context of the standard model we extend the {ital S}matrix pinch technique for nonconserved currents to the case of threeboson vertices. We outline in detail how effective gaugeinvariant threeboson 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 threeboson vertices so constructed satisfy naive QEDlike Ward identities which relate them to the gaugeinvariant 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 {ital S}matrix element considered; in particular, no knowledge of the explicit closed form of the threeboson 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.
 Authors:

 Department of Physics, New York University, Andre and Bella Meyer Hall of Physics, 4 Washington Place, New York, New York 10003 (United States)
 Publication Date:
 OSTI Identifier:
 113020
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review, D
 Additional Journal Information:
 Journal Volume: 52; Journal Issue: 4; Other Information: PBD: 15 Aug 1995
 Country of Publication:
 United States
 Language:
 English
 Subject:
 66 PHYSICS; BOSONS; VERTEX FUNCTIONS; GAUGE INVARIANCE; STANDARD MODEL; WARD IDENTITY; S MATRIX; QUANTUM ELECTRODYNAMICS; SELFENERGY
Citation Formats
Papavassiliou, J, and Philippides, K. Gaugeinvariant threeboson vertices and their Ward identities in the standard model. United States: N. p., 1995.
Web. doi:10.1103/PhysRevD.52.2355.
Papavassiliou, J, & Philippides, K. Gaugeinvariant threeboson vertices and their Ward identities in the standard model. United States. https://doi.org/10.1103/PhysRevD.52.2355
Papavassiliou, J, and Philippides, K. Tue .
"Gaugeinvariant threeboson vertices and their Ward identities in the standard model". United States. https://doi.org/10.1103/PhysRevD.52.2355.
@article{osti_113020,
title = {Gaugeinvariant threeboson vertices and their Ward identities in the standard model},
author = {Papavassiliou, J and Philippides, K},
abstractNote = {In the context of the standard model we extend the {ital S}matrix pinch technique for nonconserved currents to the case of threeboson vertices. We outline in detail how effective gaugeinvariant threeboson 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 threeboson vertices so constructed satisfy naive QEDlike Ward identities which relate them to the gaugeinvariant 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 {ital S}matrix element considered; in particular, no knowledge of the explicit closed form of the threeboson 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.},
doi = {10.1103/PhysRevD.52.2355},
url = {https://www.osti.gov/biblio/113020},
journal = {Physical Review, D},
number = 4,
volume = 52,
place = {United States},
year = {1995},
month = {8}
}